@article{GevelerRAGT2016,
Author = {M. Geveler and B. Reuter and V. Aizinger and D. Göddeke and S. Turek},
Title = {Energy efficiency of the simulation of three-dimensional coastal ocean circulation on modern commodity and mobile processors},
Journal = {Computer Science - Research and Development},
Year = {2016},
Volume = {31},
Number = {4},
Pages = {225-234},
Publisher = {Elsevier},
Doi = {10.1007/s00450-016-0324-5},
Url = {http://dx.doi.org/10.1007/s00450-016-0324-5}
}
@article{AizingerPDPN2013,
Author = {V. Aizinger and J. Proft and C. Dawson and D. Pothina and S. Negusse},
Title = {A three-dimensional discontinuous Galerkin model applied to the baroclinic simulation of Corpus Christi Bay},
Journal = {Ocean Dynamics},
Year = {2013},
Volume = {63},
Number = {1},
Pages = {89–113},
Publisher = {Springer},
Doi = {10.1007/s10236-012-0579-8},
Url = {http://dx.doi.org/10.1007/s10236-012-0579-8}
}
@article{DuebenKA2012,
Author = {P. Düben and P. Korn and V. Aizinger},
Title = {A discontinuous/continuous low order finite element shallow water model on the sphere},
Journal = {Journal of Computational Physics},
Year = {2012},
Volume = {231},
Number = {6},
Pages = {2396–2413},
Publisher = {Elsevier},
Doi = {10.1016/j.jcp.2011.11.018},
Url = {www.sciencedirect.com/science/article/pii/S0021999111006735}
}
@article{AizingerDawson2007,
Author = {V. Aizinger and C. Dawson},
Title = {The local discontinuous Galerkin method for three-dimensional shallow water flow},
Journal = {Computer Methods in Applied Mechanics and Engineering},
Year = {2007},
Volume = {196},
Number = {4},
Pages = {734–746},
Publisher = {Elsevier},
Doi = {10.1016/j.cma.2006.04.010},
Url = {www.sciencedirect.com/science/article/pii/S0045782506002222}
}
@article{DawsonAizinger2005,
Author = {C. Dawson and V. Aizinger},
Title = {A discontinuous Galerkin method for three-dimensional shallow water equations},
Journal = {Journal of Scientific Computing},
Year = {2005},
Volume = {22},
Number = {1-3},
Pages = {245–267},
Publisher = {Springer},
Doi = {10.1007/s10915-004-4139-3},
Url = {http://dx.doi.org/10.1007/s10915-004-4139-3}
}
@article{AizingerDawson2002,
Author = {V. Aizinger and C. Dawson},
Title = {A discontinuous Galerkin method for two-dimensional flow and transport in shallow water},
Journal = {Advances in Water Resources},
Year = {2002},
Volume = {25},
Number = {1},
Pages = {67–84},
Publisher = {Elsevier},
Doi = {10.1016/S0309-1708(01)00019-7},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170801000197}
}
@article{AizingerDCC2000,
Author = {V. Aizinger and C. Dawson and B. Cockburn and P. Castillo},
Title = {The local discontinuous Galerkin method for contaminant transport},
Journal = {Advances in Water Resources},
Year = {2000},
Volume = {24},
Number = {1},
Pages = {73–87},
Publisher = {Elsevier},
Doi = {10.1016/S0309-1708(00)00022-1},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170800000221}
}
@article{DawsonAizinger1999,
Author = {C. Dawson and V. Aizinger},
Title = {Upwind-mixed methods for transport equations},
Journal = {Computational Geosciences},
Year = {1999},
Volume = {3},
Number = {2},
Pages = {93–110},
Publisher = {Springer},
Doi = {10.1023/A:1011531109949},
Url = {http://dx.doi.org/10.1023/A:1011531109949}
}
@inbook{Aizinger2011,
Author = {V. Aizinger},
Title = {A geometry independent slope limiter for the discontinuous Galerkin method},
Year = {2011},
Pages = {207–217},
Editor = {E. Krause and Y. Shokin and M. Resch and D. Kröner and N. Shokina},
Publisher = {Springer},
Series = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design},
Booktitle = {Computational Science and High Performance Computing IV},
Doi = {10.1007/978-3-642-17770-5_16},
Url = {http://dx.doi.org/10.1007/978-3-642-17770-5_16}
}
@inbook{AizingerHW2010,
Author = {V. Aizinger and A. Hauser and G. Wittum},
Title = {Simulation of Flow and Transport in a Static Mixer Using Adaptive and Higher Order Numerical Methods},
Year = {2010},
Pages = {245–262},
Editor = {H. Bockhorn and D. Mewes and W. Peukert and H.-J. Warnecke},
Publisher = {Springer},
Series = {Heat and Mass Transfer},
Booktitle = {Micro and Macro Mixing},
Doi = {10.1007/978-3-642-04549-3_14},
Url = {http://dx.doi.org/10.1007/978-3-642-04549-3_14}
}
@incollection{AizingerDawson2004,
Author = {V. Aizinger and C. Dawson},
Title = {A discontinuous Galerkin method for three-dimensional shallow water flows with free surface},
Year = {2004},
Volume = {55},
Pages = {1691–1702},
Editor = {C. T. Miller and M.W. Farthing and W. G. Gray and G. F. Pinder},
Publisher = {Elsevier},
Series = {Developments in Water Science},
Booktitle = {Computational Methods in Water Resources: Volume 2 Proceedings of the XVth International Conference on Computational Methods in Water Resources},
Doi = {10.1016/S0167-5648(04)80177-1},
Url = {http://www.sciencedirect.com/science/article/pii/S0167564804801771}
}
@inbook{DawsonAizinger2002,
Author = {C. Dawson and V. Aizinger},
Title = {The local discontinuous Galerkin method for advection-diffusion equations arising in groundwater and surface water applications},
Year = {2002},
Pages = {231–245},
Editor = {J. Chadam and A. Cunningham and R. E. Ewing and P. Ortoleva and M. F. Wheeler},
Publisher = {Springer},
Series = {The IMA Volumes in Mathematics and its Applications},
Booktitle = {Resource Recovery, Confinement, and Remediation of Environmental Hazards},
Doi = {10.1007/978-1-4613-0037-3_13},
Url = {http://dx.doi.org/10.1007/978-1-4613-0037-3_13}
}
@incollection{DawsonAizinger2002,
Author = {C. Dawson and V. Aizinger},
Title = {Discontinuous Galerkin methods for shallow water flow and transport},
Year = {2002},
Volume = {47},
Pages = {915–922},
Editor = {S. M. Hassanizadeh and R. J. Schotting and W. G. Gray and G. F. Pinder},
Publisher = {Springer},
Series = {Developments in Water Science},
Booktitle = {Computational Methods in Water Resources, Volume 2 Proceedings of the XIV International Conference on Computational Methods in Water Resources}
}
@inbook{DawsonAC2000,
Author = {C. Dawson and V. Aizinger and B. Cockburn},
Title = {The Local Discontinuous Galerkin Method for Contaminant Transport Problems},
Year = {2000},
Pages = {309–314},
Editor = {B. Cockburn and G.E. Karniadakis and C.-W. Shu},
Publisher = {Springer Berlin Heidelberg},
Series = {Lecture Notes in Computational Science and Engineering},
Isbn = {978-3-642-59721-3},
Booktitle = {Discontinuous Galerkin Methods: Theory, Computation and Applications},
Doi = {10.1007/978-3-642-59721-3_26},
Url = {http://dx.doi.org/10.1007/978-3-642-59721-3_26}
}
@article{AngermannKT1998,
Author = {L. Angermann and P. Knabner and K. Thiele},
Title = {An error estimator for a finite volume discretization of density driven flow in porous media},
Journal = {Applied Numerical Mathematics},
Year = {1998},
Volume = {26},
Number = {1–2},
Pages = {179–191},
Doi = {10.1016/S0168-9274(97)00084-6},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/ErrEstFinVolDensFlow_ApplNumMath_97.pdf}
}
@incollection{BarrettKK1997,
Author = {J. W. Barrett and H. Kappmeier and P. Knabner},
Title = {Lagrange-Galerkin Approximation For Advection-Dominated Contaminant Transport With Nonlinear Equilibrium Or Non-equilibrium Adsorption},
Year = {1997},
Volume = {59},
Pages = {36–48},
Editor = {Helmig, Rainer and Jäger, Willi and Kinzelbach, Wolfgang and Knabner, Peter and Wittum, Gabriel},
Publisher = {Vieweg+Teubner Verlag},
Series = {Notes on Numerical Fluid Mechanics (NNFM)},
Isbn = {978-3-322-89567-7},
Booktitle = {Modeling and Computation in Environmental Sciences},
Doi = {10.1007/978-3-322-89565-3_4},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/LagrGalerk_ICA_95.pdf}
}
@inproceedings{BarrettKnabner1995,
Author = {J. W. Barrett and P. Knabner},
Title = {Analysis and Finite Element Approximation of Transport of Reactive Solutes in Porous Media},
Year = {1995},
Pages = {75–99},
Editor = {A. Bourgeat et al.},
Publisher = {Singapore: World Scientific Publishers},
Booktitle = {Mathematical Modelling of Flow through Porous Media}
}
@article{BarrettKnabner1998,
Author = {J. W. Barrett and P. Knabner},
Title = {An Improved Error Bound for a Lagrange–Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics},
Journal = {SIAM Journal on Numerical Analysis},
Year = {1998},
Volume = {35},
Number = {5},
Pages = {1862–1882},
Doi = {10.1137/S0036142996301512},
Url = {http://epubs.siam.org/doi/abs/10.1137/S0036142996301512}
}
@article{BarrettKnabner1997a,
Author = {J. W. Barrett and P. Knabner},
Title = {Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium Adsorption Processes},
Journal = {SIAM Journal on Numerical Analysis},
Year = {1997},
Volume = {34},
Number = {2},
Pages = {455–479},
Publisher = {Society for Industrial and Applied Mathematics},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/FEApproxEqu_SIAM_93.pdf}
}
@article{BarrettKnabner1997b,
Author = {J. W. Barrett and P. Knabner},
Title = {Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part I: Error Estimates for Nonequilibrium Adsorption Processes},
Journal = {SIAM Journal on Numerical Analysis},
Year = {1997},
Volume = {34},
Number = {1},
Pages = {201–227},
Publisher = {Society for Industrial and Applied Mathematics},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/FEApproxNonEqu_SIAM_94.pdf}
}
@article{BauseHK2010,
Author = {M. Bause and J. Hoffmann and P. Knabner},
Title = {First–order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods},
Journal = {Numerische Mathematik},
Year = {2010},
Volume = {116},
Number = {1},
Pages = {1–29},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00211-010-0290-y},
Url = {http://dx.doi.org/10.1007/s00211-010-0290-y},
Keywords = {65N08; 65N30; 65N12; 65N15; 76S05}
}
@article{BauseKnabner2004a,
Author = {M. Bause and P. Knabner},
Title = {Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods},
Journal = {Advances in Water Resources},
Year = {2004},
Volume = {27},
Number = {6},
Pages = {565–581},
Doi = {10.1016/j.advwatres.2004.03.005},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170804000600},
Keywords = {Saturated–unsaturated flow}
}
@article{BauseKnabner2004b,
Author = {M. Bause and P. Knabner},
Title = {Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping},
Journal = {Computing and Visualization in Science},
Year = {2004},
Volume = {7},
Number = {2},
Pages = {61–78},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00791-004-0139-y},
Url = {http://dx.doi.org/10.1007/s00791-004-0139-y}
}
@article{BauseKnabner2004c,
Author = {M. Bause and P. Knabner},
Title = {On uniform convergence rates for Eulerian and Lagrangian finite element approximations of convection-dominated diffusion problems},
Journal = {CALCOLO},
Year = {2004},
Volume = {41},
Number = {1},
Pages = {1–26},
Publisher = {Springer-Verlag},
Doi = {10.1007/s10092-004-0081-x},
Url = {http://dx.doi.org/10.1007/s10092-004-0081-x}
}
@article{BauseKnabner2002,
Author = {M. Bause and P. Knabner},
Title = {Uniform Error Analysis for Lagrange–Galerkin Approximations of Convection-Dominated Problems},
Journal = {SIAM Journal on Numerical Analysis},
Year = {2002},
Volume = {39},
Number = {6},
Pages = {1954–1984},
Doi = {10.1137/S0036142900367478},
Url = {http://epubs.siam.org/doi/abs/10.1137/S0036142900367478}
}
@article{BitterlichDIK2004,
Author = {S. Bitterlich and W. Durner and S. C. Iden and P. Knabner},
Title = {Inverse Estimation of the Unsaturated Soil Hydraulic Properties from Column Outflow Experiments Using Free–Form Parameterizations},
Journal = {Vadoze Zone Journal},
Year = {2004},
Volume = {3},
Number = {3},
Pages = {971–981},
Doi = {10.2136/vzj2004.0971}
}
@article{BitterlichKnabner2004,
Author = {S. Bitterlich and P. Knabner},
Title = {Numerical Methods for the Determination of Material Properties in Soil Science},
Journal = {Inverse Problems in Science and Engineering},
Year = {2004},
Volume = {12},
Number = {4},
Pages = {361–378},
Doi = {10.1080/10682760310001597482}
}
@article{BitterlichKnabner2003,
Author = {S. Bitterlich and P. Knabner},
Title = {Experimental design for outflow experiments based on a multi-level identification method for material laws},
Journal = {Inverse Problems},
Year = {2003},
Volume = {19},
Number = {5},
Pages = {1011–1030},
Doi = {10.1088/0266-5611/19/5/302}
}
@article{Bitterlich2002,
Author = {S. Bitterlich and P. Knabner},
Title = {An efficient method for solving an inverse problem for the Richards equation},
Journal = {Journal of Computational and Applied Mathematics},
Year = {2002},
Volume = {147},
Number = {1},
Pages = {153–173},
Doi = {10.1016/S0377-0427(02)00430-2},
Url = {http://www.sciencedirect.com/science/article/pii/S0377042702004302},
Keywords = {Inverse problem}
}
@article{BitterlichKnabner2002,
Author = {S. Bitterlich and P. Knabner},
Title = {Adaptive and formfree identification of nonlinearities in fluid flow from column experiments},
Journal = {Contemporary Mathematics},
Year = {2002},
Volume = {295},
Number = {707},
Pages = {63–74}
}
@article{BrunnerRBK2012,
Author = {F. Brunner and F. A. Radu and M. Bause and P. Knabner},
Title = {Optimal order convergence of a modified BDM₁ mixed finite element scheme for reactive transport in porous media},
Journal = {Advances in Water Resources},
Year = {2012},
Volume = {35},
Number = {0},
Pages = {163–171},
Doi = {10.1016/j.advwatres.2011.10.001},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170811001898},
Keywords = {Reactive transport}
}
@article{BuchholzerKKK2011,
Author = {H. Buchholzer and Ch. Kanzow and P. Knabner and S. Kräutle},
Title = {The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions},
Journal = {Computational Optimization and Applications},
Year = {2011},
Volume = {50},
Number = {2},
Pages = {193–221},
Publisher = {Springer US},
Doi = {10.1007/s10589-010-9379-6},
Url = {http://dx.doi.org/10.1007/s10589-010-9379-6}
}
@article{CarrayrouHKKDELLMM2010,
Author = {J. Carrayrou and J. Hoffmann and P. Knabner and S. Kräutle and C. Dieuleveult and J. Erhel and J. Lee and V. Lagneau and K. U. Mayer and K. T. B. MacQuarrie},
Title = {Comparison of numerical methods for simulating strongly nonlinear and heterogeneous reactive transport problems—the MoMaS benchmark case},
Journal = {Computational Geosciences},
Year = {2010},
Volume = {14},
Number = {3},
Pages = {483–502},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-010-9178-2},
Url = {http://dx.doi.org/10.1007/s10596-010-9178-2},
Keywords = {MoMaS; Benchmark; Code intercomparison; Numerical methods for reactive transport; Direct substitution approach (DSA); Differential and algebraic equations (DAE); Sequential iterative approach (SIA); Sequential noniterative approach (SNIA)}
}
@article{CarrayrouKK2010,
Author = {J. Carrayrou and M. Kern and P. Knabner},
Title = {Reactive transport benchmark of MoMaS},
Journal = {Computational Geosciences},
Year = {2010},
Volume = {14},
Number = {3},
Pages = {385–392},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-009-9157-7},
Url = {http://dx.doi.org/10.1007/s10596-009-9157-7},
Keywords = {Reactive transport; Porous media; Benchmark; MoMaS}
}
@article{DuijnKnabner1997,
Author = {C. J. van Duijn and P. Knabner},
Title = {Travelling wave behaviour of crystal dissolution in porous media flow},
Journal = {European Journal of Applied Mathematics},
Year = {1997},
Volume = {8},
Number = {1},
Pages = {49–72},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/TravCrystal_EuropJouAM_95.pdf}
}
@article{DuijnKnabner1996,
Author = {C. J. van Duijn and P. Knabner},
Title = {Crystal Dissolution in Porous Media Flow},
Journal = {Journal of Applied Mathematics and Mechanics},
Year = {1996},
Volume = {76},
Pages = {329–332},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/CrystalDiss__.pdf}
}
@article{DuijnKnabner1994,
Author = {C. J. van Duijn and P. Knabner},
Title = {Flow and reactive transport in porous media induced by well injection: Similarity solution},
Journal = {IMA Journal of Applied Mathematics},
Year = {1994},
Volume = {52},
Number = {2},
Pages = {177–200},
Doi = {10.1093/imamat/52.2.177},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/FlReaTraPoMedWeInSimSol_IMA_94.pdf}
}
@article{DuijnKnabner1992a,
Author = {C. J. van Duijn and P. Knabner},
Title = {Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange — Part 1},
Journal = {Transport in Porous Media},
Year = {1992},
Volume = {8},
Number = {3},
Pages = {167–194},
Publisher = {Kluwer Academic Publishers},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/TrWaReSolPoMedAdIExPI_TrPoMed_92.pdf}
}
@article{DuijnKnabner1992b,
Author = {C. J. van Duijn and P. Knabner},
Title = {Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange — Part 2},
Journal = {Transport in Porous Media},
Year = {1992},
Volume = {8},
Number = {3},
Pages = {199–225},
Publisher = {Kluwer Academic Publishers},
Doi = {10.1007/BF00618542},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/TrWaReSolPoMedAdIExPII_ExVers_TrPoMed_92.pdf},
Keywords = {Travelling wave; self-sharpening front; mathematical analysis; mathematical model; adsorption; ion exchange}
}
@article{DuijnKnabner1991,
Author = {C. J. van Duijn and P. Knabner},
Title = {Solute Transport in Porous Media with Equilibrium and Non–equilibrium Multiple Site Adsorption: Travelling Waves},
Journal = {Journal für die reine und angewandte Mathematik (Crelles Journal)},
Year = {1991},
Volume = {415},
Pages = {1–49}
}
@article{vanDuijnKS1998,
Author = {C. J. van Duijn and P. Knabner and R. J. Schotting},
Title = {An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions},
Journal = {Advances in Water Resources},
Year = {1998},
Volume = {22},
Number = {1},
Pages = {1–16},
Doi = {10.1016/S0309-1708(97)00038-9},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170897000389},
Keywords = {transport}
}
@article{DuijnKZ1993,
Author = {C. J. van Duijn and P. Knabner and S. E. A. T. M. van der Zee},
Title = {Travelling waves during the transport of reactive solute in porous media: Combination of Langmuir and Freundlich isotherms},
Journal = {Advances in Water Resources},
Year = {1993},
Volume = {16},
Number = {2},
Pages = {97–105},
Doi = {10.1016/0309-1708(93)90001-V},
Url = {http://www.sciencedirect.com/science/article/pii/030917089390001V},
Keywords = {Transport}
}
@article{EckJK2010,
Author = {C. Eck and B. Jadamba and P. Knabner},
Title = {Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures},
Journal = {SIAM Journal on Numerical Analysis},
Year = {2010},
Volume = {47},
Number = {6},
Pages = {4429–4445},
Doi = {10.1137/050637984},
Url = {http://epubs.siam.org/doi/abs/10.1137/050637984}
}
@incollection{EckKnabner2002a,
Author = {C. Eck and P. Knabner},
Title = {Two-Scale Models for Liquid-Solid Phase Transitions in Binary Material with Equiaxed Microstructure},
Year = {2002},
Pages = {175–187},
Editor = {Antonić, Nenad and van Duijn, C.~J. and Jäger, Willi and Mikelić, Andro},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-540-43584-6},
Booktitle = {Multiscale Problems in Science and Technology},
Doi = {10.1007/978-3-642-56200-6_7},
Url = {http://dx.doi.org/10.1007/978-3-642-56200-6_7}
}
@incollection{EckKnabner2002b,
Author = {Ch. Eck and P. Knabner},
Title = {A Two—Scale Method for Liquid—Solid Phase Transitions with Dendritic Microstructure},
Year = {2002},
Volume = {21},
Pages = {237–244},
Editor = {Breuer, Michael and Durst, Franz and Zenger, Christoph},
Publisher = {Springer Berlin Heidelberg},
Series = {Lecture Notes in Computational Science and Engineering},
Isbn = {978-3-540-42946-3},
Booktitle = {High Performance Scientific And Engineering Computing},
Doi = {10.1007/978-3-642-55919-8_26},
Url = {http://dx.doi.org/10.1007/978-3-642-55919-8_26}
}
@article{EckKK2002,
Author = {C. Eck and P. Knabner and S. Korotov},
Title = {A Two–Scale Method for the Computation of Solid–Liquid Phase Transitions with Dendritic Microstructure},
Journal = {Journal of Computational Physics},
Year = {2002},
Volume = {178},
Number = {1},
Pages = {58–80},
Doi = {10.1006/jcph.2002.7018},
Url = {http://www.sciencedirect.com/science/article/pii/S002199910297018X}
}
@article{FrankRK2013,
Author = {F. Frank and N. Ray and P. Knabner},
Title = {Numerical investigation of homogenized Stokes–Nernst–Planck–Poisson systems},
Journal = {Computing and Visualization in Science},
Year = {2011},
Volume = {14},
Number = {8},
Pages = {385–400},
Publisher = {Springer Berlin Heidelberg},
Doi = {10.1007/s00791-013-0189-0},
Url = {http://dx.doi.org/10.1007/s00791-013-0189-0},
Keywords = {Homogenization; Two-scale convergence; Porous media; Stokes/Darcy–Nernst–Planck–Poisson system; Colloidal transport; Numerical simulation; Mixed finite elements}
}
@article{FriedmanKnabner1992,
Author = {A. Friedman and P. Knabner},
Title = {A transport model with micro- and macro-structure},
Journal = {Journal of Differential Equations},
Year = {1992},
Volume = {98},
Number = {2},
Pages = {328–354},
Doi = {10.1016/0022-0396(92)90096-6},
Url = {http://www.sciencedirect.com/science/article/pii/0022039692900966}
}
@article{HerzRK2012,
Author = {M. Herz and N. Ray and P. Knabner},
Title = {Existence and uniqueness of a global weak solution of a Darcy–Nernst–Planck–Poisson system},
Journal = {GAMM-Mitteilungen},
Year = {2012},
Volume = {35},
Number = {2},
Pages = {191–208},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/gamm.201210013},
Url = {http://dx.doi.org/10.1002/gamm.201210013},
Keywords = {Darcy–Nernst–Planck–Poisson system, electro–hydrodynamics, Moser iteration, fixed point approach, global existence}
}
@article{HoffmannKK2012,
Author = {J. Hoffmann and S. Kräutle and P. Knabner},
Title = {A general reduction scheme for reactive transport in porous media},
Journal = {Computational Geosciences},
Year = {2012},
Volume = {16},
Number = {4},
Pages = {1081–1099},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-012-9304-4},
Url = {http://dx.doi.org/10.1007/s10596-012-9304-4},
Keywords = {Reactive transport; Porous media; Reduction of problem size; Numerical simulation; Global implicit approach; 35K57; 35K58; 65Y20}
}
@article{HoffmannKK2010,
Author = {J. Hoffmann and S. Kräutle and P. Knabner},
Title = {A parallel global–implicit 2-D solver for reactive transport problems in porous media based on a reduction scheme and its application to the MoMaS benchmark problem},
Journal = {Computational Geosciences},
Year = {2010},
Volume = {14},
Number = {3},
Pages = {421–433},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-009-9173-7},
Url = {http://dx.doi.org/10.1007/s10596-009-9173-7},
Keywords = {Reactive transport; Porous media; Numerical simulation; Size reduction; Complementarity problems; 90C33; 34A09; 76S05; 35K57}
}
@inproceedings{HoffmannKK2008,
Author = {J. Hoffmann and S. Kräutle and P. Knabner},
Title = {Computation of the MoMaS Benchmark Problem with a Parallel Global-Implicit 2-D Solver based on a Reformulation of the PDE-ODE System},
Year = {2008},
Booktitle = {International Workshop on Modelling Reactive Transport in Porous Media, Strasbourg}
}
@article{HoffmannKS1991,
Author = {K. H. Hoffmann and P. Knabner and W. Seifert},
Title = {Adaptive methods for parameter identification in ground water hydrology},
Journal = {Advances in Water Resources},
Year = {1991},
Volume = {14},
Number = {5},
Pages = {220–239},
Doi = {10.1016/0309-1708(91)90036-N},
Url = {http://www.sciencedirect.com/science/article/pii/030917089190036N}
}
@article{IglerTK1998,
Author = {B. A. Igler and K. U. Totsche and P. Knabner},
Title = {Identification of Nonlinear Sorption Isotherms by Soil Column Breakthrough Experiments},
Journal = {Physics and Chemistry of the Earth},
Year = {1998},
Volume = {23},
Number = {2},
Pages = {215–219},
Doi = {10.1016/S0079-1946(98)00016-0}
}
@inproceedings{Knabner1982,
Author = {P. Knabner},
Title = {Das inverse Stefan-Problem - Ein Vergleich verschiedener Fragestellungen},
Year = {1982},
Pages = {145–160},
Editor = {J. Albrecht and L. Collatz and K.-H. Hoffmann},
Booktitle = {Numerische Behandlung freier Randwertaufgaben}
}
@inproceedings{Knabner1985b,
Author = {P. Knabner},
Title = {Salt Leaching as a Free Boundary Problem},
Year = {1985},
Pages = {263–271},
Note = {Pitman Research Notes in Mathematics 120},
Editor = {A. Bossavit and A. Damlamian and M. Fremond},
Booktitle = {Free Boundary Problems: Application and Theory Vol.III}
}
@inproceedings{Knabner1987,
Author = {P. Knabner},
Title = {Finite-Element Simulation of Saturated-Unsaturated Flow through Porous Media},
Year = {1987},
Pages = {83–93},
Editor = {P. Deuflhard and B. Engquist},
Publisher = {Boston: Birkhäuser},
Booktitle = {Large Scale Scientific Computing}
}
@inproceedings{Knabner1983c,
Author = {P. Knabner},
Title = {Stability Theorems for General Free Boundary Problems of the Stefan Type and Applications},
Year = {1983},
Pages = {95–116},
Editor = {R. Gorenflo and K.-H. Hoffmann},
Booktitle = {Applied Nonlinear Functional Analysis}
}
@inproceedings{Knabner1983a,
Author = {P. Knabner},
Title = {Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions},
Year = {1983},
Pages = {165–177},
Editor = {G. Hämmerlin and K. H. Hoffmann},
Booktitle = {Improperly Posed Problems and Their Numerical Treatment}
}
@inproceedings{Knabner1992,
Author = {P. Knabner},
Title = {Finite-Element-Approximation of Solute Transport in Porous Media with General Adsorption Processes},
Year = {1992},
Pages = {223–292},
Editor = {S. T. Xiao},
Publisher = {Singapore: World Scientific Publishing},
Booktitle = {Flow and Transport in Porous Media}
}
@techreport{Knabner2007,
Author = {P. Knabner},
Title = {Open Questions and Research Directions in Parameter Identification for Multicomponent Reactive Transport in Porous Media},
Journal = {The Preprint-Series of the Institute of Applied Mathematics},
Year = {2007},
Volume = {315},
Number = {315},
Url = {http://www.math.fau.de/fileadmin/preprints/pr315.pdf},
Type = {Preprint},
Institution = {Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg}
}
@inproceedings{Knabner1991a,
Author = {P. Knabner},
Title = {Order of Convergence Estimates for Finite Element Approximations of Degenerate Parabolic Systems Modelling Reactive Solute Transport in Porous Media},
Year = {1991},
Pages = {611–612},
Booktitle = {13th IMACS World Congress on Computation and Applied Mathematics, Dublin, 22-26 July 1991},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/OrdConEstFEDgParPDEPoMed_IMACS_91.pdf}
}
@book{Knabner1991b,
Author = {P. Knabner},
Title = {Mathematische Modelle für Transport und Sorption gelöster Stoffe in porösen Medien},
Year = {1991},
Volume = {36},
Publisher = {Frankfurt am Main: Peter Lang},
Series = {Methoden und Verfahren der mathematischen Physik}
}
@article{Knabner1986a,
Author = {P. Knabner},
Title = {A Free Boundary Problem arising from the Leaching of Saline Soils},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {1986},
Volume = {17},
Pages = {610–625}
}
@article{Knabner1986b,
Author = {P. Knabner},
Title = {Global Existence in a General Stefan–like Problem},
Journal = {Journal of Mathematical Analysis and Applications},
Year = {1986},
Volume = {115},
Pages = {543–559}
}
@article{Knabner1985a,
Author = {P. Knabner},
Title = {Control of Stefan Problems by Means of Linear-quadratic Defect Minimization},
Journal = {Numerische Mathematik},
Year = {1985},
Volume = {46},
Pages = {429–443}
}
@article{Knabner1984,
Author = {P. Knabner},
Title = {Regularization of the Cauchy Problem for the Heat Equation by Norm Bounds},
Journal = {Applicable Analysis},
Year = {1984},
Volume = {17},
Pages = {295–312}
}
@phdthesis{Knabner1983b,
Author = {P. Knabner},
Title = {Fragen der Rekonstruktion und der Steuerung bei Stefan Problemen und ihre Behandlung über lineare Ersatzaufgaben},
Year = {1983},
School = {Universität Augsburg, Germany}
}
@incollection{KnabnerBK1994,
Author = {P. Knabner and J. W. Barrett and H. Kappmeier},
Title = {Lagrange-Galerkin Approximation of Advection-Dominated Nonlinear Contaminant Transport in Porous Media},
Year = {1994},
Volume = {1},
Number = {10},
Pages = {299–308},
Booktitle = {Computational Methods in Water Resources},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/LagrGalerk_CompMethWR_94.pdf}
}
@incollection{KnabnerBTPS2003,
Author = {P. Knabner and S. Bitterlich and R. Iza Teran and A. Prechtel and E. Schneid},
Title = {Influence of Surfactants on Spreading of Contaminants and Soil Remediation},
Year = {2003},
Pages = {152–161},
Editor = {Jäger, Willi and Krebs, Hans-Joachim},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-642-62914-3},
Booktitle = {Mathematics — Key Technology for the Future},
Doi = {10.1007/978-3-642-55753-8_12},
Url = {http://dx.doi.org/10.1007/978-3-642-55753-8_12}
}
@inproceedings{KnabnerDuijn1990,
Author = {P. Knabner and C. J. van Duijn},
Title = {Solute Transport through Porous Media with Slow Adsorption},
Year = {1990},
Pages = {375–388},
Note = {Pitman Research Notes in Mathematics 185},
Editor = {K.-H. Hoffmann and J. Sprekels},
Booktitle = {Free Boundary Problems: Theory and Applications, Vol. I}
}
@article{KnabnerDH1995,
Author = {P. Knabner and C. J. van Duijn and S. Hengst},
Title = {An analysis of crystal dissolution fronts in flows through porous media. Part 1: Compatible boundary conditions},
Journal = {Advances in Water Resources},
Year = {1995},
Volume = {18},
Number = {3},
Pages = {171–185},
Doi = {10.1016/0309-1708(95)00005-4},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/AnalCrystDisFrPartI_AdWaRes_95.pdf},
Keywords = {transport}
}
@inproceedings{KnabnerFHKOP2008,
Author = {P. Knabner and F. Frank and J. Hoffmann and S. Kräutle and St. Oßmann and A. Prechtel},
Title = {Entwicklung, Zuverlässigkeit und Effizienz reaktiver Mehrkomponententransportmodelle},
Year = {2008},
Pages = {195--233},
Note = {DGFZ, Dresden},
Publisher = {Dresdner Grundwasserforschungszentrum e.V. (DGFZ)},
Series = {Gemeinsame Mitteilungen des Dresdner Grundwasserforschungszentrums e.V. und seiner Partner},
Booktitle = {Systemanalyse, Modellierung und Prognose der Wirkungen natürlicher Schadstoffminderungsprozesse – eine rezente Synopse: Abschlussdokumentation des KORA-TV7}
}
@incollection{KnabnerFrolkovic1996,
Author = {P. Knabner and P. Frolkovic},
Title = {Consistent Velocity Approximations in Finite Element or Volume Discretizations of Density Driven Flow},
Year = {1996},
Volume = {1},
Number = {11},
Pages = {93–100},
Publisher = {Computational Mechanics Publication, Southampton},
Booktitle = {Computational Methods in Water Resources},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/ConsVelApproxDensFlow_CompMethWR_96.pdf}
}
@inproceedings{KnabnerHilpert1980,
Author = {P. Knabner and M. Hilpert},
Title = {Comparison of Several Methods for Parabolic Control Problems},
Year = {1980},
Pages = {177–185},
Editor = {K. H. Well},
Booktitle = {2nd IFAC Workshop on control Application of Nonlinear Programming and Optimization, Oberpfaffenhofen, Sep. 15-17, 1980}
}
@inproceedings{Knabner1979,
Author = {P. Knabner and K. H. Hoffmann},
Title = {Freie Randwertprobleme},
Year = {1979},
Pages = {25–56},
Editor = {G. Meinardus},
Booktitle = {Approximation in Theorie und Praxis}
}
@inproceedings{KnabnerIgler1998,
Author = {P. Knabner and B. Igler},
Title = {Identification of Nonlinearities in PDEs: Sorption Isotherms in Reactive Flow Through Porous Media},
Year = {1998},
Editor = {H.G. Bock},
Booktitle = {ENUMATH 97, World Scientific, Singapore}
}
@incollection{KnabnerIgler2000,
Author = {P. Knabner and B. Igler},
Title = {Structural Identification of Nonlinear Coefficient Functions in Transport Processes through Porous Media},
Year = {2000},
Pages = {157–175},
Editor = {Bungartz, Hans-Joachim and Hoppe, RonaldH.W. and Zenger, Christoph},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-642-64094-0},
Booktitle = {Lectures on Applied Mathematics},
Doi = {10.1007/978-3-642-59709-1_12},
Url = {http://dx.doi.org/10.1007/978-3-642-59709-1_12}
}
@article{KnabnerITD2005,
Author = {P. Knabner and B. A. Igler and K. U. Totsche and P. DuChateau},
Title = {Unbiased identification of nonlinear sorption characteristics by soil column breakthrough experiments},
Journal = {Computational Geosciences},
Year = {2005},
Volume = {9},
Number = {4},
Pages = {203–217},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-005-9008-0},
Url = {http://dx.doi.org/10.1007/s10596-005-9008-0},
Keywords = {identification; inverse problems; breakthrough experiment; sorption; output least squares minimization; adaptation}
}
@incollection{KnabnerIKSH1997,
Author = {P. Knabner and B. Igler and H. Kappmeier and E. Schneid and R. Hempfling},
Title = {Trägerbeeinflußter und lösungsvermittelter Transport von Umweltchemikalien in porösen Medien},
Year = {1997},
Pages = {231–241},
Editor = {Hoffmann, Karl-Heinz and Jäger, Willi and Lohmann, Thomas and Schunck, Hermann},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-642-64453-5},
Booktitle = {Mathematik Schlüsseltechnologie für die Zukunft},
Doi = {10.1007/978-3-642-60550-5_20},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/TranspUmweltchemPorMed.pdf}
}
@inproceedings{KnabnerKD1990,
Author = {P. Knabner and I. Kögel-Knabner and H. Deschauer},
Title = {Enhanced Leaching of Organic Chemicals in Soils due to Binding to Dissolved Organic Carbon?},
Year = {1990},
Pages = {323–329},
Editor = {F. Arendt and M. Hinsenveld and W.J. van den Brink},
Publisher = {Kluver academic publishers},
Booktitle = {Contaminated Soil '90}
}
@incollection{KnabnerKT1993,
Author = {P. Knabner and I. Kögel-Knabner and K. Totsche},
Title = {Carrier Influenced Transport of Pollutants in Porous Media: Mathematical Modeling},
Year = {1993},
Volume = {2},
Pages = {163–172},
Editor = {Arendt, F. and Annokkée, G.J. and Bosman, R. and Brink, W.J.},
Publisher = {Springer Netherlands},
Series = {Soil \& Environment},
Isbn = {978-94-010-4892-7},
Booktitle = {Contaminated Soil ’93},
Doi = {10.1007/978-94-011-2018-0_31},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/CarrTransPolPorMed_Kluw_93.pdf}
}
@inproceedings{BitterlichKnabner2001,
Author = {P. Knabner and S. Korotov and G. Summ},
Title = {Conditions for the Invertibility of the Isoparametric Mapping for 3D Multilinear Finite Elements},
Year = {2001},
Editor = {W. Hackbusch and U. Langer},
Booktitle = {17th GAMM-Seminar Leipzig on Construction of Grid Generation Algorithms}
}
@article{KnabnerKS2003,
Author = {P. Knabner and S. Korotov and G. Summ},
Title = {Conditions for the invertibility of the isoparametric mapping for hexahedral finite elements},
Journal = {Finite Elements in Analysis and Design},
Year = {2003},
Volume = {40},
Number = {2},
Pages = {159–172},
Publisher = {Elsevier Science Publishers B. V.},
Address = {Amsterdam, The Netherlands, The Netherlands},
Doi = {10.1016/S0168-874X(02)00196-8},
Url = {http://dx.doi.org/10.1016/S0168-874X(02)00196-8},
Keywords = {hexahedral finite elements, invertibility, isoparametric mapping}
}
@article{KnabnerMP2013,
Author = {P. Knabner and A. Mikelić and I. S. Pop},
Title = {Special issue “Mathematics of Porous Media” dedicated to Professor C. J. van Duijn on the occasion of his 60th anniversary},
Journal = {Computational Geosciences},
Year = {2013},
Volume = {17},
Number = {3},
Pages = {443–445},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-013-9348-0},
Url = {http://dx.doi.org/10.1007/s10596-013-9348-0}
}
@article{KnabnerNS1999,
Author = {P. Knabner and M. J. De Neef and G. Summ},
Title = {Transient Numerical Simulation of Combustion in Inert Porous Media},
Journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik},
Year = {1999},
Volume = {79},
Number = {S1},
Pages = {45–48},
Publisher = {Wiley-VCH Verlag},
Doi = {10.1002/zamm.19990791312},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/TrNumSimCombPorMed_ZAMM_98.pdf}
}
@article{KnabnerOtto2000,
Author = {P. Knabner and F. Otto},
Title = {Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: uniqueness of weak solutions},
Journal = {Nonlinear Anal.},
Year = {2000},
Volume = {42},
Number = {3},
Pages = {381–403},
Publisher = {Elsevier Science Ltd.},
Address = {Oxford, UK, UK},
Doi = {10.1016/S0362-546X(98)00352-6},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/SolTrPoMedMuSiAdUniq_TMA_96.pdf},
Keywords = {degenerate parabolic systems, flow and transport in porous media, stability, uniqueness}
}
@inproceedings{RayRK2011,
Author = {P. Knabner and N. Ray and F. A. Radu},
Title = {Drug release from collagen matrices and transport phenomena in porous media including an evolving microstructure},
Year = {2011},
Booktitle = {Proceedings of the 11th International Conference on Mathematical Methods in Science and Engineering, Alicante}
}
@incollection{KnabnerSchneid2002,
Author = {P. Knabner and E. Schneid},
Title = {Adaptive Hybrid Mixed Finite Element Discretization of Instationary Variably Saturated Flow in Porous Media},
Year = {2002},
Volume = {21},
Pages = {37–44},
Editor = {Breuer, Michael and Durst, Franz and Zenger, Christoph},
Publisher = {Springer Berlin Heidelberg},
Series = {Lecture Notes in Computational Science and Engineering},
Isbn = {978-3-540-42946-3},
Booktitle = {High Performance Scientific And Engineering Computing},
Doi = {10.1007/978-3-642-55919-8_4},
Url = {http://dx.doi.org/10.1007/978-3-642-55919-8_4}
}
@incollection{KnabnerSchneid1996,
Author = {P. Knabner and E. Schneid},
Title = {Qualitative Properties of a Model for Carrier Facilitated Groundwater Contaminant Transport},
Year = {1996},
Pages = {129–135},
Editor = {Keil, Frerich and Mackens, Wolfgang and Voß, Heinrich and Werther, Joachim},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-642-80151-8},
Booktitle = {Scientific Computing in Chemical Engineering},
Doi = {10.1007/978-3-642-80149-5_14},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/QualPropCarrierTrans.pdf}
}
@inproceedings{KnabnerSchneid1997,
Author = {P. Knabner and E. Schneid},
Title = {Numerical Solution of Unsteady Saturated/Unsaturated Flow Through Porous Media},
Year = {1997},
Pages = {337–343},
Booktitle = {Numerical Modelling in Continuum Mechanics, Part II}
}
@book{KnabnerSeifert1991,
Author = {P. Knabner and W. Seifert},
Title = {Das Finite-Element-Programm FELIPE: Programmbeschreibung und Benutzerhandbuch Version 1.2},
Year = {1991},
Publisher = {Institut für Mathematik, Universität Augsburg}
}
@inproceedings{KnabnerSumm1999,
Author = {P. Knabner and G. Summ},
Title = {Hybrid Mixed Discretization Methods for Combustion Problems in Porous Media},
Journal = {Scientific Computing in Chemical Engineering II},
Year = {1999},
Pages = {110–117},
Editor = {F. Keil et al.},
Booktitle = {Scientific Computing in Chemical Engineering II},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/HybMixDiscCombPorMed_SCCE_99.pdf}
}
@article{KnabnerSumm2001a,
Author = {P. Knabner and G. Summ},
Title = {The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements},
Journal = {Numerische Mathematik},
Year = {2001},
Volume = {88},
Number = {4},
Pages = {661–681},
Publisher = {Springer-Verlag},
Doi = {10.1007/PL00005454},
Url = {http://dx.doi.org/10.1007/PL00005454},
Keywords = {Mathematics Subject Classification (1991): 65N30, 65N50}
}
@article{KnabnerTT2001,
Author = {P. Knabner and C. Tapp and K. Thiele},
Title = {Adaptivity in the Finite Volume Discretization of Variable Density Flows in Porous Media},
Journal = {Physics and Chemistry of the Earth},
Year = {2001},
Volume = {25},
Number = {2},
Pages = {1–6},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/AdFinVolDiscVarDensFlows_PCE.pdf}
}
@article{KnabnerTT1998,
Author = {P. Knabner and C. Tapp and K. Thiele},
Title = {Adaptive Finite Volume Discretization of Density Driven Flows in Porous Media},
Journal = {Acta Mathematica Universitatis Comenianae},
Year = {1998},
Volume = {67},
Pages = {115–136},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/FinVolDiscDensFlows_AMUniCom_97.pdf}
}
@article{KnabnerTK1996,
Author = {P. Knabner and K. U. Totsche and I. Kögel-Knabner},
Title = {The modeling of reactive solute transport with sorption to mobile and immobile sorbents: 1. Experimental evidence and model development},
Journal = {Water Resources Research},
Year = {1996},
Volume = {32},
Number = {6},
Pages = {1611–1622},
Doi = {10.1029/95WR02994},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/ModSolTrSorPart1_WRR_96.pdf}
}
@inproceedings{KnabnerVessella1987b,
Author = {P. Knabner and S. Vessella},
Title = {Stability Estimates for Ill-Posed Cauchy Problems for Parabolic Equations},
Year = {1987},
Pages = {351–368},
Editor = {H.W. Engl and C.W. Groetsch},
Publisher = {Academic Press},
Booktitle = {Inverse and Ill-Posed Problems}
}
@article{KnabnerVessella1988,
Author = {P. Knabner and S. Vessella},
Title = {The Optimal Stability Estimate for some III-Posed Cauchy Problems for a Parabolic Equation},
Journal = {Mathematical Methods in the Applied Sciences},
Year = {1988},
Volume = {10},
Pages = {575–583}
}
@article{KnabnerVessella1987a,
Author = {P. Knabner and S. Vessella},
Title = {Stabilization of Ill-Posed Cauchy Problems for Parabolic Equations},
Journal = {Annali di Matematica Pura ed Applicata (IV)},
Year = {1987},
Volume = {149},
Pages = {393–409}
}
@article{KnabnerWolfersdorf,
Author = {P. Knabner and L. von Wolfersdorf},
Title = {Travelling Wave Solutions of some Systems of Nonlinear Diffusion Equations with Integral Term},
Journal = {Zeitschrift für Analysis und ihre Anwendungen},
Year = {1991},
Volume = {10},
Pages = {503–512}
}
@incollection{Kögel-KnabnerKD1991,
Author = {I. Kögel-Knabner and P. Knabner and H. Deschauer},
Title = {Dissolved Organic Matter as Carrier for Exogeneous Organic Chemicals in Soils},
Year = {1991},
Publisher = {The Royal Society of Chemistry},
Booktitle = {Advances in Soil Organic Matter Research: The Impact on Agriculture and the Environment}
}
@incollection{KräuleBPRK2005,
Author = {S. Kräutle and M. Bause and A. Prechtel and F. A. Radu and P. Knabner},
Title = {ParRichy: Parallel Simulation of Bioreactive Multicomponent Transport Processes in Porous Media},
Year = {2005},
Pages = {181–192},
Editor = {Bode, Arndt and Durst, Franz},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-540-26145-2},
Booktitle = {High Performance Computing in Science and Engineering, Garching 2004},
Doi = {10.1007/3-540-28555-5_16},
Url = {http://dx.doi.org/10.1007/3-540-28555-5_16}
}
@article{KraeutleKnabner2007,
Author = {S. Kräutle and P. Knabner},
Title = {A reduction scheme for coupled multicomponent transport-reaction problems in porous media: Generalization to problems with heterogeneous equilibrium reactions},
Journal = {Water Resources Research},
Year = {2007},
Volume = {43},
Number = {3},
Doi = {10.1029/2005WR004465},
Url = {http://dx.doi.org/10.1029/2005WR004465},
Keywords = {multispecies, porous media, reactive flow}
}
@article{KräutleKnabner2005,
Author = {S. Kräutle and P. Knabner},
Title = {A new numerical reduction scheme for fully coupled multicomponent transport-reaction problems in porous media},
Journal = {Water Resources Research},
Year = {2005},
Volume = {41},
Number = {9},
Pages = {n/a–n/a},
Doi = {10.1029/2004WR003624},
Url = {http://dx.doi.org/10.1029/2004WR003624},
Keywords = {multispecies, numerical simulation, reactive transport}
}
@article{MarchandMK2013,
Author = {E. Marchand and T. Müller and P. Knabner},
Title = {Fully coupled generalized hybrid–mixed finite element approximation of two–phase two-component flow in porous media. Part I: formulation and properties of the mathematical model},
Journal = {Computational Geosciences},
Year = {2013},
Volume = {17},
Number = {2},
Pages = {431–442},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-013-9341-7},
Url = {http://dx.doi.org/10.1007/s10596-013-9341-7},
Keywords = {Nonlinear PDEs; Compositional multiphase flow; Complementarity problems; 35G50}
}
@article{MarchandMK2012,
Author = {E. Marchand and T. Müller and P. Knabner},
Title = {Fully coupled generalised hybrid–mixed finite element approximation of two–phase two–component flow in porous media. Part II: numerical scheme and numerical results},
Journal = {Computational Geosciences},
Year = {2012},
Volume = {16},
Number = {3},
Pages = {691–708},
Publisher = {Springer Netherlands},
Doi = {10.1007/s10596-012-9279-1},
Url = {http://dx.doi.org/10.1007/s10596-012-9279-1},
Keywords = {Nonlinear systems of partial differential equations; Mixed hybrid finite elements; 35G50; 65M60}
}
@article{MetzmacherRBK2007,
Author = {I. Metzmacher and F. A. Radu and M. Bause and P. Knabner and W. Friess},
Title = {A model describing the effect of enzymatic degradation on drug release from collagen minirods},
Journal = {European Journal of Pharmaceutics and Biopharmaceutics},
Year = {2007},
Volume = {67},
Number = {2},
Pages = {349–360},
Doi = {10.1016/j.ejpb.2007.02.013},
Url = {http://www.sciencedirect.com/science/article/pii/S0939641107000732},
Keywords = {Collagen}
}
@incollection{NeefKS1999,
Author = {M. Neef and P. Knabner and G. Summ},
Title = {Numerical Bifurcation Analysis of Premixed Combustion in Porous Inert Media},
Year = {1999},
Volume = {8},
Pages = {39–50},
Editor = {Bungartz, Hans-Joachim and Durst, Franz and Zenger, Christoph},
Publisher = {Springer Berlin Heidelberg},
Series = {Lecture Notes in Computational Science and Engineering},
Isbn = {978-3-540-65730-9},
Booktitle = {High Performance Scientific and Engineering Computing},
Doi = {10.1007/978-3-642-60155-2_4},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/NumBifAnCombPorMed_HPSEC_99.pdf}
}
@article{PopRK2004,
Author = {I. S. Pop and F. A. Radu and P. Knabner},
Title = {Mixed finite elements for the Richards’ equation: linearization procedure},
Journal = {Journal of Computational and Applied Mathematics},
Year = {2004},
Volume = {168},
Number = {1–2},
Pages = {365–373},
Note = {Selected Papers from the Second International Conference on Advanced Computational Methods in Engineering (ACOMEN 2002)},
Doi = {10.1016/j.cam.2003.04.008},
Url = {http://www.sciencedirect.com/science/article/pii/S037704270301001X},
Keywords = {Euler implicit scheme}
}
@article{PrechtelBRK2006,
Author = {A. Prechtel and S. Bitterlich and F. A. Radu and P. Knabner},
Title = {Natural Attenuation: hohe Anforderungen an die Modellsimulation},
Journal = {Grundwasser},
Year = {2006},
Volume = {11},
Number = {3},
Pages = {217–225},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00767-006-0147-6},
Url = {http://dx.doi.org/10.1007/s00767-006-0147-6}
}
@incollection{PrechtelKnabner2002,
Author = {A. Prechtel and P. Knabner},
Title = {Accurate and efficient simulation of coupled water flow and nonlinear reactive transport in the saturated and vadose zone—application to surfactant enhanced and intrinsic bioremediation},
Year = {2002},
Volume = {47},
Pages = {687–694},
Editor = {S. Majid Hassanizadeh, Ruud J. Schotting, William G. Gray and George F. Pinder},
Publisher = {Elsevier},
Series = {Developments in Water Science},
Booktitle = {Computational Methods in Water Resources Proceedings of the XIVth International Conference on Computational Methods in Water Resources (CMWR XIV)},
Doi = {10.1016/S0167-5648(02)80125-3},
Url = {http://www.sciencedirect.com/science/article/pii/S0167564802801253}
}
@article{PrechtelKST2002,
Author = {A. Prechtel and P. Knabner and E. Schneid and K. U. Totsche},
Title = {Simulation of carrier-facilitated transport of phenanthrene in a layered soil profile},
Journal = {Journal of Contaminant Hydrology},
Year = {2002},
Volume = {56},
Number = {3–4},
Pages = {209–225},
Doi = {10.1016/S0169-7722(01)00211-X},
Url = {http://www.sciencedirect.com/science/article/pii/S016977220100211X},
Keywords = {Carrier facilitation}
}
@article{RaduBKFM2009,
Author = {F. A. Radu and M. Bause and P. Knabner and W. Friess and I. Metzmacher},
Title = {Numerical simulation of drug release from collagen matrices by enzymatic degradation},
Journal = {Computing and Visualization in Science},
Year = {2009},
Volume = {12},
Number = {8},
Pages = {409–420},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00791-008-0118-9},
Url = {http://dx.doi.org/10.1007/s00791-008-0118-9}
}
@article{RaduBKLF2002,
Author = {F. A. Radu and M. Bause and P. Knabner and G. W. Lee and W. C. Friess},
Title = {Modeling of drug release from collagen matrices},
Journal = {Journal of Pharmaceutical Sciences},
Year = {2002},
Volume = {91},
Number = {4},
Pages = {964–972},
Publisher = {Wiley Subscription Services, Inc., A Wiley Company},
Doi = {10.1002/jps.10098},
Url = {http://dx.doi.org/10.1002/jps.10098},
Keywords = {drug release, collagen matrices, numerical simulation, moving boundary, finite element method}
}
@article{RaduPAK2007,
Author = {F. A. Radu and I. S. Pop and S. Attinger and P. Knabner},
Title = {Error estimates for an Euler implicit-mixed finite element scheme for reactive transport in saturated/unsaturated soil},
Journal = {PAMM},
Year = {2007},
Volume = {7},
Number = {1},
Pages = {1024705–1024706},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/pamm.200700428},
Url = {http://dx.doi.org/10.1002/pamm.200700428}
}
@incollection{RaduPK2006,
Author = {F. A. Radu and I. S. Pop and P. Knabner},
Title = {Newton—Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations},
Year = {2006},
Pages = {1192–1200},
Editor = {de Castro, AlfredoBermúdez and Gómez, Dolores and Quintela, Peregrina and Salgado, Pilar},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-540-34287-8},
Booktitle = {Numerical Mathematics and Advanced Applications},
Doi = {10.1007/978-3-540-34288-5_120},
Url = {http://dx.doi.org/10.1007/978-3-540-34288-5_120}
}
@article{RaduPK2008,
Author = {F. A. Radu and I. S. Pop and P. Knabner},
Title = {Error estimates for a mixed finite element discretization of some degenerate parabolic equations},
Journal = {Numerische Mathematik},
Year = {2008},
Volume = {109},
Number = {2},
Pages = {285–311},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00211-008-0139-9},
Url = {http://dx.doi.org/10.1007/s00211-008-0139-9},
Keywords = {65M12; 65M15; 65M60; 35K65; 35K55; 76S05}
}
@article{RaduPK2004,
Author = {F. A. Radu and I. S. Pop and P. Knabner},
Title = {Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation},
Journal = {SIAM Journal on Numerical Analysis},
Year = {2004},
Volume = {42},
Number = {4},
Pages = {1452–1478},
Doi = {10.1137/S0036142902405229},
Url = {http://epubs.siam.org/doi/abs/10.1137/S0036142902405229}
}
@techreport{RayEMK2011,
Author = {N. Ray and Ch. Eck and A. Muntean and P. Knabner},
Title = {Variable Choices of Scaling in the Homogenization of a Nernst–Planck–Poisson Problem},
Journal = {The Preprint-Series of the Institute of Applied Mathematics},
Year = {2011},
Volume = {344},
Number = {344},
Pages = {1–32},
Note = {University of Erlangen-Nuremberg},
Url = {http://fauams5.am.uni-erlangen.de/papers/pr344.pdf},
Type = {Preprint}
}
@article{RayMK2012,
Author = {N. Ray and A. Muntean and P. Knabner},
Title = {Rigorous homogenization of a Stokes–Nernst–Planck–Poisson system},
Journal = {Journal of Mathematical Analysis and Applications},
Year = {2012},
Volume = {390},
Number = {1},
Pages = {374–393},
Doi = {10.1016/j.jmaa.2012.01.052},
Url = {http://www.sciencedirect.com/science/article/pii/S0022247X12000807},
Keywords = {Homogenization}
}
@article{RayNFK2012,
Author = {N. Ray and T. Noorden and F. Frank and P. Knabner},
Title = {Multiscale Modeling of Colloid and Fluid Dynamics in Porous Media Including an Evolving Microstructure},
Journal = {Transport in Porous Media},
Year = {2012},
Volume = {95},
Number = {3},
Pages = {669–696},
Publisher = {Springer Netherlands},
Doi = {10.1007/s11242-012-0068-z},
Url = {http://dx.doi.org/10.1007/s11242-012-0068-z},
Keywords = {Periodic homogenization; Evolving microstructure; Level set function; Colloidal transport; Pore scale modeling; Particle–surface interaction; Pore clogging; Porosity changes; Multiscale coefficients; Mixed finite elements}
}
@article{RayNRFK2013,
Author = {N. Ray and T. van Noorden and F. A. Radu and W. Friess and P. Knabner},
Title = {Drug release from collagen matrices including an evolving microstructure},
Journal = {ZAMM—Journal of Applied Mathematics and Mechanics},
Year = {2013},
Volume = {93},
Pages = {811–822},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/zamm.201200196},
Url = {http://dx.doi.org/10.1002/zamm.201200196},
Keywords = {Drug release, porous media, homogenization, evolving microstructure, numerical simulation, mixed finite element method.}
}
@article{SchneidKR2004,
Author = {E. Schneid and P. Knabner and F. A. Radu},
Title = {A priori error estimates for a mixed finite element discretization of the Richards’ equation},
Journal = {Numerische Mathematik},
Year = {2004},
Volume = {98},
Number = {2},
Pages = {353–370},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00211-003-0509-2},
Url = {http://dx.doi.org/10.1007/s00211-003-0509-2}
}
@article{SchneidPK2000,
Author = {E. Schneid and A. Prechtel and P. Knabner},
Title = {A Comprehensive Tool for the Simulation of Complex Reactive Transport and Flow in Soils},
Journal = {Land Contamination \& Reclamation},
Year = {2000},
Volume = {8},
Number = {4},
Pages = {357–365},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/CompToolSimCompReactTransFlowSoils_LCR.pdf}
}
@techreport{SuciuARVVVK2011,
Author = {N. Suciu and S. Attinger and F. A. Radu and C. Vamos and J. Vanderborght and H. Vereecken and P. Knabner},
Title = {Solute transport in aquifers with evolving scale heterogeneity},
Journal = {The Preprint-Series of the Institute of Applied Mathematics},
Year = {2011},
Volume = {346},
Number = {346},
Pages = {1–18},
Note = {University of Erlangen-Nuremberg},
Url = {http://www.math.fau.de/fileadmin/preprints/pr346.pdf},
Type = {Preprint}
}
@article{SuciuKnabner2009,
Author = {N. Suciu and P. Knabner},
Title = {Comment on “Spatial moments analysis of kinetically sorbing solutes in aquifer with bimodal permeability distribution” by M. Massabó, A. Bellin, and A. J. Valocchi},
Journal = {Water Resources Research},
Year = {2009},
Volume = {45},
Number = {5},
Pages = {1–2},
Doi = {10.1029/2008WR007498},
Url = {http://dx.doi.org/10.1029/2008WR007498},
Keywords = {ergodicity, uncertainty, dispersivity}
}
@article{SuciuRPBK2013,
Author = {N. Suciu and F. A. Radu and A. Prechtel and F. Brunner and P. Knabner},
Title = {A coupled finite element–global random walk approach to advection–dominated transport in porous media with random hydraulic conductivity},
Journal = {Journal of Computational and Applied Mathematics},
Year = {2013},
Volume = {246},
Number = {0},
Pages = {27–37},
Doi = {10.1016/j.cam.2012.06.027},
Url = {http://www.sciencedirect.com/science/article/pii/S0377042712002622},
Keywords = {Random walk methods}
}
@article{SuciuVRVK2009,
Author = {N. Suciu and C. Vamos and F. A. Radu and H. Vereecken and P. Knabner},
Title = {Persistent memory of diffusing particles},
Journal = {Physical Review E},
Year = {2009},
Volume = {80},
Pages = {061134},
Publisher = {American Physical Society},
Doi = {10.1103/PhysRevE.80.061134},
Url = {http://link.aps.org/doi/10.1103/PhysRevE.80.061134}
}
@article{SuciuVVSK2008a,
Author = {N. Suciu and C. Vamos and H. Vereecken and K. Sabelfeld and P. Knabner},
Title = {Memory effects induced by dependence on initial conditions and ergodicity of transport in heterogeneous media},
Journal = {Water Resources Research},
Year = {2008},
Volume = {44},
Number = {8},
Doi = {10.1029/2007WR006740},
Url = {http://dx.doi.org/10.1029/2007WR006740},
Keywords = {memory effects, ergodicity, global random walk}
}
@article{SuciuVVSK2008b,
Author = {N. Suciu and C. Vamos and H. Vereecken and K. Sabelfeld and P. Knabner},
Title = {Ito equation model for disperion of solutes in heterogeneous media},
Journal = {Revue d'Analyse Numérique et de Théorie de l'Approximation},
Year = {2008},
Volume = {37},
Pages = {221–238}
}
@article{TotscheKK1996,
Author = {K. U. Totsche and P. Knabner and I. Kögel-Knabner},
Title = {The modeling of reactive solute transport with sorption to mobile and immobile sorbents. Part 2: Model discussion and numerical simulation},
Journal = {Water Resources Research},
Year = {1996},
Volume = {32},
Number = {6},
Pages = {1623–1634},
Doi = {10.1029/95WR02993},
Url = {http://www.mso.math.fau.de/fileadmin/am1/users/knabner/publicationen/ModSolTrSorPart2_WRR_96.pdf}
}
@article{AbelsGG2012,
Author = {H. Abels and H. Garcke and G. Grün},
Title = {Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities},
Journal = {Mathematical Models and Methods in Applied Sciences},
Year = {2012},
Volume = {22},
Number = {3},
Pages = {1150013},
Doi = {10.1142/S0218202511500138}
}
@article{BeckerGruen2005,
Author = {J. Becker and G. Grün},
Title = {The thin–film equation: recent advances and some new perspectives},
Journal = {Journal of Physics: Condensed Matter},
Year = {2005},
Volume = {17},
Number = {9},
Pages = {291–307},
Doi = {10.1088/0953-8984/17/9/002}
}
@article{BeckerGruen2004,
Author = {J. Becker and G. Grün},
Title = {Some Remarks on Modelling and Simulation of Thin Film Flow},
Journal = {PAMM},
Year = {2004},
Volume = {4},
Number = {1},
Pages = {47–50},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/pamm.200410012},
Url = {http://dx.doi.org/10.1002/pamm.200410012}
}
@article{BeckerGBJMMS2003,
Author = {J. Becker and G. Grün and R. Blossey and K. Jacobs and H. Mantz and K. R. Mecke and R. Seemann},
Title = {Complex dewetting scenarios captured by thin-film models},
Journal = {Nature Materials},
Year = {2003},
Volume = {2},
Pages = {59–63},
Doi = {10.1038/nmat788}
}
@article{BeckerGLR2002,
Author = {J. Becker and G. Grün and M. Lenz and M. Rumpf},
Title = {Numerical methods for fourth order nonlinear degenerate diffusion problems},
Journal = {Applications of Mathematics},
Year = {2002},
Volume = {47},
Number = {6},
Pages = {517–543},
Publisher = {Kluwer Academic Publishers-Plenum Publishers},
Doi = {10.1023/B:APOM.0000034537.55985.44},
Url = {http://dx.doi.org/10.1023/B%3AAPOM.0000034537.55985.44},
Keywords = {thin film; fourth order degenerate parabolic equation; nonnegativity preserving scheme; surfactant driven flow; finite element method; finite volume method}
}
@article{BeckerGSJ2001,
Author = {J. Becker and G. Grün and R. Seemann and K. Jacobs},
Title = {Dynamical pattern formation upon dewetting},
Journal = {Condensed Matter},
Year = {2001}
}
@article{BertozziGW2001,
Author = {A. L. Bertozzi and G. Grün and T. P. Witelski},
Title = {Dewetting films: bifurcations and concentrations},
Journal = {Nonlinearity},
Year = {2001},
Volume = {14},
Number = {6},
Pages = {1569–1592},
Url = {http://stacks.iop.org/0951-7715/14/i=6/a=309}
}
@article{BertschPGG1998,
Author = {M. Bertsch and R. Dal Passo and H. Garcke and G. Grün},
Title = {The thin viscous flow equation in higher space dimensions},
Journal = {Adv. Differential Equ.},
Year = {1998},
Volume = {3},
Pages = {417–440}
}
@article{Campillo-FunolletGK2012,
Author = {E. Campillo-Funollet and G. Grün and F. Klingbeil},
Title = {On Modeling and Simulation of Electrokinetic Phenomena in Two-Phase Flow with General Mass Densities},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2012},
Volume = {72},
Number = {6},
Pages = {1899–1925},
Doi = {10.1137/120861333},
Url = {http://epubs.siam.org/doi/abs/10.1137/120861333}
}
@article{EckFGKV2009,
Author = {C. Eck and M. Fontelos and G. Grün and F. Klingbeil and O. Vantzos},
Title = {On a phase-ﬁeld model for electrowetting},
Journal = {Interfaces and Free Boundaries},
Year = {2009},
Volume = {11},
Number = {2},
Pages = {259–290},
Doi = {10.4171/IFB/211}
}
@article{EckFGKV2007,
Author = {C. Eck and M. Fontelos and G. Grün and F. Klingbeil and O. Vantzos},
Title = {A phase field model in electrowetting and related phenomena},
Journal = {PAMM},
Year = {2007},
Volume = {7},
Number = {1},
Pages = {1151205–1151206},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/pamm.200700885},
Url = {http://dx.doi.org/10.1002/pamm.200700885}
}
@article{FontelosGruen2013,
Author = {M. A. Fontelos and G. Grün},
Title = {On uniqueness results for an elliptic-parabolic-system of partial differential equations arising in dynamic electrowetting},
Journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik},
Year = {2013},
Volume = {93},
Pages = {777-788},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/zamm.201200200},
Url = {http://dx.doi.org/10.1002/zamm.201200200},
Keywords = {Electrowetting, phase-field model, Navier-Stokes system, Cahn-Hilliard equation, elliptic transmission problem, uniqueness of weak solutions in 3D.}
}
@article{FontelosGKK2012,
Author = {M. A. Fontelos and G. Grün and U. Kindelán and F. Klingbeil},
Title = {Numerical Simulation of Static and Dynamic Electrowetting},
Journal = {Journal of Adhesion Science and Technology},
Year = {2012},
Volume = {26},
Number = {12-17},
Pages = {1805–1824},
Doi = {10.1163/156856111X600145},
Url = {http://www.tandfonline.com/doi/abs/10.1163/156856111X600145}
}
@article{FontelosGJ2011,
Author = {M. Fontelos and G. Grün and S. Jörres},
Title = {On a Phase–Field Model for Electrowetting and Other Electrokinetic Phenomena},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {2011},
Volume = {43},
Number = {1},
Pages = {527–563},
Doi = {10.1137/090779668},
Url = {http://epubs.siam.org/doi/abs/10.1137/090779668}
}
@article{GiacomelliGruen2006,
Author = {L. Giacomelli and G. Grün},
Title = {Lower bounds on waiting time for degenerate parabolic equations and systems},
Journal = {Interfaces and Free Boundaries},
Year = {2006},
Volume = {8},
Number = {1},
Pages = {111–129},
Doi = {10.4171/IFB/137}
}
@inproceedings{RammerstorferEGBR2002,
Author = {G. Gruen and J. Becker and M. Rumpf},
Title = {On space–time adaptive convergent finite element schemes for a general class of lubrication–type equations},
Year = {2002},
Editor = {H. A. Mang and F. G. Rammerstorfer and J. Eberhardsteiner},
Booktitle = {Proceedings of the 5th World Congress on Computational Mechanics, Vienna}
}
@inproceedings{Gruen1999,
Author = {G. Grün},
Title = {On the numerical simulation of wetting phenomena},
Year = {1999},
Editor = {W. Hackbusch and S. Sauter},
Booktitle = {Proceedings of the 15th GAMM-Seminar Kiel, Numerical methods of composite materials}
}
@article{Gruen2013,
Author = {G. Grün},
Title = {On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities},
Journal = {SIAM Journal on Numerical Analysis},
Year = {2013},
Pages = {accepted}
}
@article{Gruen2005,
Author = {G. Grün},
Title = {Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem},
Journal = {Communications in Partial Differential Equations},
Year = {2005},
Volume = {29},
Number = {11-12},
Pages = {1697–1744},
Doi = {10.1081/PDE-200040193},
Url = {http://www.tandfonline.com/doi/abs/10.1081/PDE-200040193}
}
@article{Gruen2004,
Author = {G. Grün},
Title = {Droplet spreading under weak slippage: the waiting time phenomenon},
Journal = {Annales de l'Institut Henri Poincare Non Linear Analysis},
Year = {2004},
Volume = {21},
Number = {2},
Pages = {255–269},
Doi = {10.1016/j.anihpc.2003.02.002},
Url = {http://www.sciencedirect.com/science/article/pii/S0294144903000337},
Keywords = {Fourth order degenerate parabolic equations}
}
@article{Gruen2003,
Author = {G. Grün},
Title = {Droplet Spreading Under Weak Slippage: A Basic Result on Finite Speed of Propagation},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {2003},
Volume = {34},
Number = {4},
Pages = {992–1006},
Doi = {10.1137/S0036141002403298},
Url = {http://epubs.siam.org/doi/abs/10.1137/S0036141002403298}
}
@article{Gruen2003a,
Author = {G. Grün},
Title = {On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions},
Journal = {Math.Comp},
Year = {2003},
Volume = {72},
Pages = {1251–1279}
}
@article{Gruen2002,
Author = {G. Grün},
Title = {Droplet spreading under weak slippage: the optimal asymptotic propagation rate in the multi-dimensional case},
Journal = {Interfaces and Free Boundaries},
Year = {2002},
Volume = {4},
Number = {3},
Pages = {309–323},
Doi = {10.4171/IFB/63}
}
@article{Gruen2001,
Author = {G. Grün},
Title = {On Bernis' interpolation inequalities in multiple space dimensions},
Journal = {Zeitschrift für Analysis und ihre Anwendungen},
Year = {2001},
Volume = {20},
Number = {4},
Pages = {987–998},
Doi = {10.4171/ZAA/1055}
}
@article{Gruen1995,
Author = {G. Grün},
Title = {Degenerate parabolic equations of fourth order and a plasticity model with nonlocal hardening},
Journal = {Journal of Analysis and its Applications},
Year = {1995},
Volume = {14},
Pages = {541–573}
}
@article{GruenKlingbeil2012,
Author = {G. Grün and F. Klingbeil},
Title = {Two–phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model},
Journal = {Journal of Computational Physics},
Year = {2012},
Volume = {257}
}
@inproceedings{GruenLR2002,
Author = {G. Grün and M. Lenz and M. Rumpf},
Title = {A Finite Volume Scheme for Surfactant Driven Thin Film Flow},
Year = {2002},
Pages = {567-574},
Editor = {R. Herbin and D. Kröner},
Booktitle = {Proceedings of the Third International Symposium on Finite Volumes for Complex Applications}
}
@article{GruenMR2006,
Author = {G. Grün and K. Mecke and M. Rauscher},
Title = {Thin–Film Flow Influenced by Thermal Noise},
Journal = {Journal of Statistical Physics},
Year = {2006},
Volume = {122},
Number = {6},
Pages = {1261–1291},
Publisher = {Springer US},
Doi = {10.1007/s10955-006-9028-8},
Url = {http://dx.doi.org/10.1007/s10955-006-9028-8},
Keywords = {wetting; microfluidics; thin film flow; stochastic hydrodynamics}
}
@inproceedings{GruenRumpf1999,
Author = {G. Grün and M. Rumpf},
Title = {Entropy consistent finite volume schemes for the thin film equation},
Year = {1999},
Editor = {R. Vilsmeier and F. Benkhaldoun and D. Hänel},
Booktitle = {Finite volume schemes for complex applications II., Hermes Science Publications, Paris}
}
@article{GruenRumpf2001,
Author = {G. Grün and M. Rumpf},
Title = {Simulation of singularities and instabilities arising in thin film flow},
Journal = {European Journal of Applied Mathematics},
Year = {2001},
Volume = {12},
Pages = {293–320},
Doi = {10.1017/S0956792501004429},
Url = {http://journals.cambridge.org/article_S0956792501004429}
}
@article{GruenRumpf2000,
Author = {G. Grün and M. Rumpf},
Title = {Nonnegativity preserving convergent schemes for the thin film equation},
Journal = {Numerische Mathematik},
Year = {2000},
Volume = {87},
Number = {1},
Pages = {113–152},
Publisher = {Springer-Verlag},
Doi = {10.1007/s002110000197},
Url = {http://dx.doi.org/10.1007/s002110000197},
Keywords = {Mathematics Subject Classification (1991): 35K35, 35K55, 35K65, 65M12, 65M50, 65M60, 76D08}
}
@article{Neto2003,
Author = {C. Neto and K. Jacobs and R. Seemann and R. Blossey and J. Becker and G. Grün},
Title = {Correlated dewetting patterns in thin polystyrene films},
Journal = {Journal of Physics: Condensed Matter},
Year = {2003},
Volume = {15},
Number = {1},
Pages = {S421},
Url = {http://stacks.iop.org/0953-8984/15/i=1/a=358}
}
@article{NetoJSBBG2003,
Author = {C. Neto and K. Jacobs and R. Seemann and R. Blossey and J. Becker and G. Grün},
Title = {Satellite hole formation during dewetting: experiment and simulation},
Journal = {Journal of Physics: Condensed Matter},
Year = {2003},
Volume = {15},
Number = {19},
Pages = {3355},
Url = {http://stacks.iop.org/0953-8984/15/i=19/a=334}
}
@article{PassoGG1998,
Author = {R. Passo and H. Garcke and G. Grün},
Title = {On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {1998},
Volume = {29},
Number = {2},
Pages = {321–342},
Doi = {10.1137/S0036141096306170},
Url = {http://epubs.siam.org/doi/abs/10.1137/S0036141096306170}
}
@incollection{PassoGG2003,
Author = {R. Dal Passo and L. Giacomelli and G. Grün},
Title = {Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach},
Year = {2003},
Pages = {637–648},
Editor = {S. Hildebrandt and H. Karcher},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-540-44051-2},
Booktitle = {Geometric Analysis and Nonlinear Partial Differential Equations},
Doi = {10.1007/978-3-642-55627-2_33},
Url = {http://dx.doi.org/10.1007/978-3-642-55627-2_33}
}
@article{DalPassoGG2001,
Author = {R. Dal Passo and L. Giacomelli and G. Grün},
Title = {A waiting time phenomenon for thin film equations},
Journal = {Annali della Scuola Normale Superiore di Pisa},
Year = {2001},
Volume = {30},
Number = {2},
Pages = {437–463}
}
@article{ArneMSW2011,
Author = {W. Arne and N. Marheineke and J. Schnebele and R. Wegener},
Title = {Fluid–fiber–interactions in rotational spinning process of glass wool production},
Journal = {Journal of Mathematics in Industry},
Year = {2011},
Volume = {1},
Number = {1},
Pages = {1–26},
Publisher = {Springer-Verlag},
Doi = {10.1186/2190-5983-1-2},
Url = {http://dx.doi.org/10.1186/2190-5983-1-2},
Keywords = {Rotational spinning process; viscous thermal jets; fluid-fiber interactions; two-way coupling; slender-body theory; Cosserat rods; drag models; boundary value problem; continuation method}
}
@article{ArneMW2011,
Author = {W. Arne and N. Marheineke and R. Wegener},
Title = {Asymptotic transition from Cosserat rod to string models for curved viscous inertial jets},
Journal = {Mathematical Models and Methods in Applied Sciences},
Year = {2011},
Volume = {21},
Number = {10},
Pages = {1987–2018}
}
@article{BonillaGKMW2008,
Author = {L. Bonilla and T. Götz and A. Klar and N. Marheineke and R. Wegener},
Title = {Hydrodynamic Limit of a Fokker–Planck Equation Describing Fiber Lay–Down Processes},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2008},
Volume = {68},
Number = {3},
Pages = {648–665},
Doi = {10.1137/070692728},
Url = {http://epubs.siam.org/doi/abs/10.1137/070692728}
}
@article{DragoMP2013,
Author = {C. R. Drago and N. Marheineke and R. Pinnau},
Title = {Semiconductor device optimization in the presence of thermal effects},
Journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik},
Year = {2013},
Volume = {93},
Pages = {700-705},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/zamm.201100171},
Url = {http://dx.doi.org/10.1002/zamm.201100171},
Keywords = {Semiconductor design, energy transport model, fast optimal design, Gaussian doping profiles.}
}
@article{GoetzKMW2007,
Author = {T. Götz and A. Klar and N. Marheineke and R. Wegener},
Title = {A Stochastic Model and Associated Fokker–Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2007},
Volume = {67},
Number = {6},
Pages = {1704–1717},
Doi = {10.1137/06067715X},
Url = {http://epubs.siam.org/doi/abs/10.1137/06067715X}
}
@article{HuebschMRW2013,
Author = {F. Hübsch and N. Marheineke and K. Ritter and R. Wegener},
Title = {Random Field Sampling for a Simplified Model of Melt–Blowing Considering Turbulent Velocity Fluctuations},
Journal = {Journal of Statistical Physics},
Year = {2013},
Volume = {150},
Number = {6},
Pages = {1115–1137},
Publisher = {Springer US},
Doi = {10.1007/s10955-013-0715-y},
Url = {10.1007/s10955-013-0715-y},
Keywords = {Turbulence modeling; Gaussian random velocity fields; Sampling procedure; Random ordinary differential equations; Melt-blowing simulations; Fiber spinning}
}
@article{KlarMW2009,
Author = {A. Klar and N. Marheineke and R. Wegener},
Title = {Hierarchy of mathematical models for production processes of technical textiles},
Journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik},
Year = {2009},
Volume = {89},
Number = {12},
Pages = {941–961},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/zamm.200900282},
Url = {http://dx.doi.org/10.1002/zamm.200900282},
Keywords = {Fiber-fluid interaction, slender-body theory, turbulence modeling, model reduction, stochastic differential equations, Fokker-Planck equation, asymptotic expansions, parameter identification.}
}
@article{MarburgerMP2011,
Author = {J. Marburger and N. Marheineke and R. Pinnau},
Title = {Adjoint–based optimal control using meshfree discretizations},
Journal = {J. Comput. Appl. Math.},
Year = {2011},
Volume = {235},
Number = {10},
Pages = {3138–3150},
Publisher = {Elsevier Science Publishers B. V.},
Doi = {10.1016/j.cam.2010.12.018},
Url = {http://dx.doi.org/10.1016/j.cam.2010.12.018},
Keywords = {49-99, 65K10, 76M28, Adjoint method, Eulerian-Lagrangian formulation, Hyperbolic equations, Meshless methods, Optimization strategies, Particle methods}
}
@article{MarheinekeAMSW2015,
Author = {W. Arne and N. Marheineke and A. Meister and S. Schiessl and R. Wegener},
Title = {Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets},
Journal = {Journal of Computational Physics},
Year = {2015},
Volume = {294},
Pages = {20-37},
Doi = {10.1016/j.jcp.2015.03.042}
}
@article{MarheinekeCSP2014,
Author = {N. Marheineke and T. M. Cibis and S. Schiessl and U. Pielmeier},
Title = {Optimal control of glucose balance in ICU patients based on GlucoSafe-model},
Journal = {Journal of Mathematics in Industry},
Year = {2014},
Volume = {4},
Number = {3},
Doi = {10.1186/2190-5983-4-3}
}
@article{MarheinekeGrothaus,
Author = {M. Grothaus and N. Marheineke},
Title = {On a nonlinear partial differential algebraic system arising in technical textile industry: Analysis and numerics},
Journal = {IMA Journal of Numerical Analysis},
Year = {2014},
Pages = {submitted},
Url = {http://arxiv.org/pdf/1203.3692.pdf}
}
@article{MarheinekeKW,
Author = {F. Baus, A. Klar, N. Marheineke and R. Wegener},
Title = {Low-mach-number-slenderness limit for elastic Cosserat rods},
Journal = {Mathematical Methods in the Applied Sciences},
Year = {2014},
Pages = {submitted}
}
@article{MarheinekeLMSW2012,
Author = {N. Marheineke and J. Liljo and J. Mohring and J. Schnebele and R. Wegener},
Title = {Multiphysics and multimethods problem of rotational glass fiber melt-spinning},
Journal = {Int. J. Numer. Anal. Model., Ser. B},
Year = {2012},
Volume = {3},
Number = {3},
Pages = {330–344},
Keywords = {rotational spinning; viscous thermal jets; fluid-structure interactions; fluid dynamics; structure mechanics; heat transfer; slender-body theory; Cosserat rods; drag models}
}
@article{MarheinekeLW,
Author = {N. Marheineke and B. Liljegren-Sailer and M. Lorenz and R. Wegener},
Title = {Asymptotics and numerics for the upper convected Maxwell model of transient curved viscoelastic jets},
Journal = {Mathematical Models and Methods in Applied Sciences},
Year = {2014},
Pages = {submitted}
}
@article{MarheinekePinnau2012,
Author = {N. Marheineke and R. Pinnau},
Title = {Model hierarchies in space-mapping optimization: Feasibility study for transport processes},
Journal = {Journal of Computational Methods in Science and Engineering},
Year = {2012},
Volume = {12},
Number = {1},
Pages = {63–74},
Doi = {10.3233/JCM-2012-0404}
}
@article{MarheinekePR2012,
Author = {N. Marheineke and R. Pinnau and E. Reséndiz},
Title = {Space mapping–focused control techniques for particle dispersions in fluids},
Journal = {Optimization and Engineering},
Year = {2012},
Volume = {13},
Number = {1},
Pages = {101–120},
Publisher = {Springer US},
Doi = {10.1007/s11081-011-9150-6},
Url = {http://dx.doi.org/10.1007/s11081-011-9150-6},
Keywords = {Space mapping technique; Stochastic control; Optimal control; Instantaneous control; Tracking problem; Particle dynamics; Navier-Stokes equations; k-ϵ turbulence model}
}
@article{MarheinekeWegener2011,
Author = {N. Marheineke and R. Wegener},
Title = {Modeling and application of a stochastic drag for fibers in turbulent flows},
Journal = {International Journal of Multiphase Flow},
Year = {2011},
Volume = {37},
Number = {2},
Pages = {136–148},
Doi = {10.1016/j.ijmultiphaseflow.2010.10.001},
Url = {http://www.sciencedirect.com/science/article/pii/S0301932210001746},
Keywords = {Fiber–fluid interactions}
}
@article{MarheinekeWegener2009,
Author = {N. Marheineke and R. Wegener},
Title = {Asymptotic model for the dynamics of curved viscous fibres with surface tension},
Journal = {Journal of Fluid Mechanics},
Year = {2009},
Volume = {622},
Pages = {345–369},
Doi = {10.1017/S0022112008005259}
}
@article{MarheinekeWegener2007,
Author = {N. Marheineke and R. Wegener},
Title = {Fiber Dynamics in Turbulent Flows: Specific Taylor Drag},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2007},
Volume = {68},
Number = {1},
Pages = {1–23},
Doi = {10.1137/06065489X},
Url = {http://epubs.siam.org/doi/abs/10.1137/06065489X}
}
@article{MarheinekeWegener2006,
Author = {N. Marheineke and R. Wegener},
Title = {Fiber Dynamics in Turbulent Flows: General Modeling Framework},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2006},
Volume = {66},
Number = {5},
Pages = {1703–1726},
Doi = {10.1137/050637182},
Url = {http://epubs.siam.org/doi/abs/10.1137/050637182}
}
@article{PandaMW2008,
Author = {S. Panda and N. Marheineke and R. Wegener},
Title = {Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers},
Journal = {Mathematical Methods in the Applied Sciences},
Year = {2008},
Volume = {31},
Number = {10},
Pages = {1153–1173},
Publisher = {John Wiley \& Sons, Ltd.},
Doi = {10.1002/mma.962},
Url = {http://dx.doi.org/10.1002/mma.962},
Keywords = {curved viscous fibers, Navier–Stokes equations, free boundary value problem, asymptotic expansions, slender body theory}
}
@article{RepkeMP2011,
Author = {S. Repke and N. Marheineke and R. Pinnau},
Title = {Two Adjoint–Based Optimization Approaches for a Free Surface Stokes Flow},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2011},
Volume = {71},
Number = {6},
Pages = {2168–2184},
Doi = {10.1137/100797953},
Url = {http://epubs.siam.org/doi/abs/10.1137/100797953}
}
@article{WegenerMAM2010,
Author = {R. Wegener and A. Meister and W. Arne and N. Marheineke},
Title = {Numerical analysis of Cosserat rod and string models for viscous jets in rotational spinning processes},
Journal = {Mathematical Models and Methods in Applied Sciences},
Year = {2010},
Volume = {20},
Number = {10},
Pages = {1941–1965},
Doi = {10.1142/S0218202510004738},
Url = {http://www.worldscientific.com/doi/abs/10.1142/S0218202510004738}
}
@article{BaderMerz,
Author = {R. Bader and W. Merz},
Title = {Local Existence Result of Single Dopant Diffusion including Cluster Reactions of High Order},
Journal = {Abstract and Applied Analysis},
Year = {2001},
Note = {(to appear)}
}
@article{BaderMerz2,
Author = {R Bader and W. Merz},
Title = {Local Existence Result of Single Dopant Diffusion in Arbitrary Space Dimensions},
Journal = {ZAA},
Year = {2002},
Volume = {21},
Number = {1}
}
@article{BaderMS2002,
Author = {R. Bader and W. Merz and N. Strecker},
Title = {Local Existence Result of Single Dopant Diffusion including a Chain of Clusters},
Journal = {International Journal of Pure and Appl. Math.},
Year = {2002},
Volume = {3},
Number = {1},
Pages = {37–47}
}
@article{BauseMerz,
Author = {M. Bause and W. Merz},
Title = {Higher order regularity and approximation of solutions to the Monod biodegradation model},
Journal = {APNUM},
Year = {2005},
Pages = {154–172},
Note = {(to appear)}
}
@article{G,
Author = {I. G. Goetz and W. Merz and K. Pulverer and J. Zhang},
Title = {A Fluid Dynamical Free Boundary Value Problem for the Oxidation Process of Silicon},
Journal = {Nonlinear World},
Year = {1995},
Volume = {2},
Pages = {429–458}
}
@article{GriebelMN1999,
Author = {M. Griebel and W. Merz and T. Neunhoeffer},
Title = {Mathematical modeling and numerical simulation of freezing processes of a supercooled melt under consideration of density changes},
Journal = {Computing and Visualization in Science},
Year = {1999},
Volume = {1},
Number = {4},
Pages = {201},
Publisher = {Springer-Verlag},
Doi = {10.1007/s007910050019},
Url = {http://dx.doi.org/10.1007/s007910050019}
}
@article{JiangLMZ,
Author = {L. Jiang and Z. Liu and W. Merz and N. Zhu},
Title = {A Free Boundary Problem Arising in Oxidation Process of Silicon},
Journal = {Advances in Mathematical Science and Applications},
Year = {1994},
Note = {(to appear)}
}
@article{JiangMerz1994,
Author = {L. Jiang and W. Merz},
Title = {A Free Boundary Problem describing the one dimensional Oxidation Process of Silicon},
Journal = {Journal of Computational and Applied Mathematics},
Year = {1994},
Volume = {17},
Number = {2},
Pages = {159}
}
@article{LangMerz2001raey,
Author = {J. Lang and W. Merz},
Title = {Two–dimensional adaptive simulation of dopant diffusion in silicon},
Journal = {Computing and Visualization in Science},
Year = {2001},
Volume = {3},
Number = {4},
Pages = {169–176},
Publisher = {Springer-Verlag},
Doi = {10.1007/s007910000045},
Url = {http://dx.doi.org/10.1007/s007910000045}
}
@inproceedings{LangMerz1998,
Author = {J. Lang and W. Merz},
Title = {Dynamic mesh design control in semiconductor device simulation},
Year = {1998},
Booktitle = {Proceedings of Int. Conference on Systems, Signals, Control and Computers, Durban}
}
@techreport{LangMerz1997,
Author = {J. Lang and W. Merz},
Title = {Numerical Simulation of Single Species Dopant Diffusion in Silicon under Extrinsic Conditions},
Year = {1997},
Number = {SC-97-47},
Address = {Takustr.7, 14195 Berlin},
Institution = {ZIB}
}
@incollection{Merz2000,
Author = {W. Merz},
Title = {The Oxidation Process of Silicon},
Year = {2000},
Pages = {217},
Editor = {Bungartz, Hans-Joachim and Hoppe, RonaldH.W. and Zenger, Christoph},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-642-64094-0},
Booktitle = {Lectures on Applied Mathematics},
Doi = {10.1007/978-3-642-59709-1_15},
Url = {http://dx.doi.org/10.1007/978-3-642-59709-1_15}
}
@incollection{Merz1993,
Author = {W. Merz},
Title = {Oxidation of Silicon},
Year = {1993},
Editor = {J. M. Chadam and H. Rasmussen},
Publisher = {Longman Scientific and Technical},
Booktitle = {Emerging applications in free boundary problems, Proc. Int. Colloquium "Free Boundary Problems: Theory and Applications''}
}
@article{Merz,
Author = {W. Merz},
Title = {Global Existence Result of the Monod Model in Bioremediation},
Journal = {Adv. Math. Sci. Appl.},
Year = {2005},
Pages = {709–726},
Note = {(to appear)}
}
@article{Merz2001,
Author = {W. Merz},
Title = {Strong Solutions for Reaction-Drift-Diffusion Problems in Semiconductor Technology},
Journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f},
Year = {2001},
Volume = {81},
Number = {9},
Pages = {623–635},
Publisher = {WILEY-VCH Verlag Berlin GmbH},
Doi = {10.1002/1521-4001(200109)81:93.0.CO;2-1},
Url = {http://dx.doi.org/10.1002/1521-4001(200109)81:93.0.CO;2-1},
Keywords = {dopant diffusion, nonlinear reaction-drift-diffusion equations}
}
@phdthesis{Merz1999,
Author = {W. Merz},
Title = {Analysis und Numerische Berechnung der Diffusion von Fremdatomen in Homgenen Strukturen},
Year = {1999},
Type = {Habilitation thesis},
School = {TU M}
}
@phdthesis{Merz1992,
Author = {W. Merz},
Title = {Analytische und Numerische Behandlung des Oxidationsprozesses von Silizium},
Year = {1992},
School = {Universit}
}
@mastersthesis{Merz1988,
Author = {W. Merz},
Title = {W},
Year = {1988},
School = {Universit}
}
@article{MerzGlitzky,
Author = {A. Glitzky and W. Merz},
Title = {Single Dopant Diffusion in Semiconductor Technology},
Journal = {Math. Methods in the Appl. Sciences},
Year = {2004},
Pages = {133–154},
Note = {(to appear)}
}
@article{MerzGHP,
Author = {W. Merz and A. Glitzky and R. Huenlich and K. Pulverer},
Title = {Strong solutions for pair diffusion models in homogeneous semiconductors},
Journal = {Nonlinear Analysis: Real World Applications},
Year = {2001},
Volume = {2},
Number = {4},
Pages = {541–567 },
Note = {(to appear)},
Doi = {10.1016/S1468-1218(01)00010-4},
Url = {http://www.sciencedirect.com/science/article/pii/S1468121801000104}
}
@inproceedings{MerzLang1999,
Author = {W. Merz and J. Lang},
Title = {Analysis and Simulation of Two-dimensional Dopant Diffusion in Silicon},
Year = {1999},
Pages = {83},
Editor = {Hoffmann, Karl-Heinz},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-642-63233-4},
Booktitle = {Proceedings of first caesarium, Bonn},
Doi = {10.1007/978-3-642-56855-8_7},
Url = {http://dx.doi.org/10.1007/978-3-642-56855-8_7}
}
@article{MerzPS1998,
Author = {W. Merz and K. Pulverer and B. Stoth},
Title = {Construction of an Asymptotic Model for the Oxidation Process of Silicon},
Journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f},
Year = {1998},
Volume = {78},
Number = {10},
Pages = {711},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/(SICI)1521-4001(199810)78:103.0.CO;2-3},
Url = {http://dx.doi.org/10.1002/(SICI)1521-4001(199810)78:103.0.CO;2-3},
Keywords = {Oxidation, formal asymptotics, compressible fluids}
}
@article{MerzPW1998,
Author = {W. Merz and K. Pulverer and E. Wilczok},
Title = {Single Species Dopant Diffusion in Silicon: Numerical and Analytical Treatment},
Journal = {Mathematical Scientist},
Year = {1998},
Volume = {23}
}
@article{MerzRybka2004,
Author = {W. Merz and P. Rybka},
Title = {A Free Boundary Problem describing Reaction--Diffusion Problems in Chemical Vapor Infiltration of Pyrolytic Carbon},
Journal = {J. Math. Anal. Appl.},
Year = {2004},
Volume = {292},
Pages = {571–588}
}
@article{MerzStrecker1994,
Author = {W. Merz and N. Strecker},
Title = {The oxidation process of silicon: Modelling and mathematical treatment},
Journal = {Mathematical Methods in the Applied Sciences},
Year = {1994},
Volume = {17},
Number = {15},
Pages = {1165},
Publisher = {John Wiley \& Sons, Ltd},
Doi = {10.1002/mma.1670171502}
}
@article{MerzZhang1995,
Author = {W. Merz and J. Zhang},
Title = {A Free Boundary Problem Associated with Oxidation of Silicon},
Journal = {Analysis},
Year = {1995},
Volume = {15},
Pages = {393–404}
}
@article{Kraeutle2011,
Author = {Serge Kräutle},
Title = {Existence of global solutions of multicomponent reactive transport problems with mass action kinetics in porous media},
Journal = {Journal of Applied Analysis and Computation},
Year = {2011},
Volume = {1},
Number = {4},
Pages = {497-515},
Url = {http://jaac-online.com/index.php/jaac/article/view/25}
}
@article{Kraeutle2005,
Author = {Serge Kräutle},
Title = {A domain decomposition method using efficient interface-acting preconditioners},
Journal = {Mathematics of Computation},
Year = {2005},
Volume = {74},
Number = {251},
Pages = {1231-1256},
Url = {http://www.ams.org/journals/mcom/2005-74-251/S0025-5718-04-01706-5/}
}
@misc{Kraeutle2008,
Author = {Serge Kräutle},
Title = {General multi-species reactive transport problems in porous media: Efficient numerical approaches and existence of global solutions},
Year = {2008},
Howpublished = {Habilitation Thesis, Friedrich-Alexander-Universitat Erlangen-Nürnberg}
}
@phdthesis{Kraeutle2001,
Author = {Serge Kräutle},
Title = {A Navier-Stokes Solver based on CGBI and the Method of Characteristics},
Year = {2001},
School = {Friedrich-Alexander-Universitat Erlangen-Nürnberg}
}
@article{KraeutleWielage2001a,
Author = {Serge Kräutle and Kerstin Wielage},
Title = {The CGBI method for viscous channel flows and its preconditioning},
Journal = {Nonlinear Analysis: Theory, Methods and Applications},
Year = {2001},
Volume = {47},
Number = {6},
Pages = {4193-4203},
Url = {http://www.sciencedirect.com/science/article/pii/S0362546X01005363}
}
@incollection{BorchersKPPR2003,
Author = {W. Borchers and S. Kräutle and R. Pasquetti and R. Peyret and R. Rautmann},
Title = {Multi-domain finite element - spectral Chebyshev parallel Navier-Stokes solver for viscous flow problems},
Year = {2003},
Volume = {82},
Pages = {3-17},
Note = {CNRS-DFG Collaborative Research Programme, Results 2000-2002; ISBN 9783540441304},
Editor = {Hirschel},
Publisher = {Springer Verlag},
Series = {Notes on Numerical Fluid Mechanics},
Booktitle = {Numerical Flow Simulation III}
}
@incollection{KraeutleWielage2001b,
Author = {Serge Kräutle and Kerstin Wielage},
Title = {Numerical results for the CGBI method to viscous channel flow},
Year = {2001},
Volume = {223},
Pages = {247-255},
Note = {International Conference on Navier-Stokes Equations: Theory and Numerical Methods (2000, Varenna, Italy), ISBN 0824706722},
Editor = {Rodolfo Salvi},
Publisher = {Marcel Dekker Inc},
Series = {Lecture notes in pure and applied mathematics},
Booktitle = {The Navier-Stokes Equations: Theory and Numerical Methods}
}
@incollection{BorchersKPRRWX2001,
Author = {W. Borchers and S. Kräutle and R. Pasquetti and R. Rautmann and N. Roß and K. Wielage and C.J. Xu},
Title = {Towards a parallel hybrid highly accurate Navier-Stokes solver},
Year = {2001},
Volume = {75},
Pages = {3-18},
Note = {CNRS-DFG Collaborative Research Programme, Results 1998-2000; ISBN 9783540416081},
Editor = {Hirschel},
Publisher = {Springer Verlag},
Series = {Notes on Numerical Fluid Mechanics},
Booktitle = {Numerical Flow Simulation II}
}
@incollection{BorchersFKPPRR1998,
Author = {W. Borchers and M.Y. Forestier and S. Kräutle and R. Pasquetti and R. Peyret and R. Rautmann and N. Roß and C. Sabbah},
Title = {A parallel hybrid highly accurate elliptic solver for viscous flow problems},
Year = {1998},
Volume = {66},
Pages = {3-24},
Note = {CNRS-DFG Collaborative Research Programme, Results 1996-1998; ISBN 9783540415404},
Editor = {Hirschel},
Publisher = {Springer Verlag},
Series = {Notes on Numerical Fluid Mechanics},
Booktitle = {Numerical Flow Simulation I}
}
@article{MahatoBoehm2013,
Author = {H.S. Mahato and M. Böhm},
Title = {Global existence and uniqueness for a system of nonlinear multi-species diffusion-reaction equations in an $\mathlarger{H}^{1,p}$ setting},
Journal = {Journal of Applied Analysis and Computation},
Year = {2013},
Volume = {3},
Number = {4},
Pages = {357-376}
}
@article{MahatoBoehm2013a,
Author = {H.S. Mahato and M. Böhm},
Title = {Homogenization of a system of semilinear diffusion-reaction equations in an $\mathlarger{H}^{1,p}$ setting},
Journal = {Electronic Journal of Differential Equations},
Year = {2013},
Number = {210},
Pages = {1-22}
}
@article{MahatoBoehm2013b,
Author = {H.S. Mahato and M. Böhm},
Title = {An existence result for a system of coupled semilinear diffusion-reaction equations with flux boundary conditions},
Journal = {European Journal of Applied Mathematics},
Year = {2015},
Pages = {pp 1-22},
Month = {January},
Doi = {10.1017/S0956792514000369},
Url = {http://www.math.fau.de/fileadmin/preprints/pr372.pdf}
}
@article{Mahato13a,
Author = {H.S. Mahato},
Title = {A homogenization approach to a system of semilinear diffusion-reaction equations in a porous medium},
Year = {2013},
Pages = {submitted},
Url = {http://www.math.fau.de/fileadmin/preprints/pr371.pdf}
}
@article{HronNP2011,
Author = {J. Hron and M. Neuss-Radu and P. Pustějovská},
Title = {Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect},
Journal = {Applications of Mathematics},
Year = {2011},
Volume = {56},
Number = {1},
Pages = {51–68},
Publisher = {Mathematical Institute, Academy of Sciences of Czech Republic},
Doi = {10.1007/s10492-011-0009-0},
Url = {http://dx.doi.org/10.1007/s10492-011-0009-0}
}
@article{JaegerMN2011,
Author = {W. Jäger and A. Mikelić and M. Neuss-Radu},
Title = {Homogenization Limit of a Model System for Interaction of Flow, Chemical Reactions, and Mechanics in Cell Tissues},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {2011},
Volume = {43},
Number = {3},
Pages = {1390–1435},
Doi = {10.1137/100808393},
Url = {http://epubs.siam.org/doi/abs/10.1137/100808393}
}
@article{JaegerMN2009,
Author = {W. Jäger and A. Mikelić and M. Neuss-Radu},
Title = {Analysis of Differential Equations Modelling the Reactive Flow through a Deformable System of Cells},
Journal = {Archive for Rational Mechanics and Analysis},
Year = {2009},
Volume = {192},
Number = {2},
Pages = {331–374},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00205-008-0118-4},
Url = {http://dx.doi.org/10.1007/s00205-008-0118-4}
}
@incollection{JaegerNeuss2007,
Author = {W. Jäger and M. Neuss-Radu},
Title = {Multiscale Analysis of Processes in Complex Media},
Year = {2007},
Pages = {531–553},
Editor = {Jäger, Willi and Rannacher, Rolf and Warnatz, Jürgen},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-540-28379-9},
Booktitle = {Reactive Flows, Diffusion and Transport},
Doi = {10.1007/978-3-540-28396-6_19},
Url = {http://dx.doi.org/10.1007/978-3-540-28396-6_19}
}
@article{JaegerNS2014,
Author = {W. Jäger and M. Neuss-Radu and T.A. Shaposhnikova},
Title = {Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain},
Journal = {Nonlinear Analysis: Real World Applications},
Year = {2014},
Volume = {15},
Number = {0},
Pages = {367–380},
Doi = {10.1016/j.nonrwa.2012.01.027},
Url = {http://www.sciencedirect.com/science/article/pii/S1468121812000685},
Keywords = {Perforated domains}
}
@article{JaegerNS2011a,
Author = {W. Jäger and M. Neuss-Radu and T.A. Shaposhnikova},
Title = {Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling},
Journal = {Doklady Mathematics},
Year = {2011},
Volume = {83},
Number = {2},
Pages = {204–208},
Publisher = {SP MAIK Nauka/Interperiodica},
Doi = {10.1134/S1064562411020219},
Url = {http://dx.doi.org/10.1134/S1064562411020219}
}
@article{JaegerNS2011b,
Author = {W. Jäger and M. Neuss-Radu and T.A. Shaposhnikova},
Title = {Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain — the influence of the scaling on the nonlinearity in the effective sink-source term},
Journal = {Journal of Mathematical Sciences},
Year = {2011},
Volume = {179},
Number = {3},
Pages = {446–459},
Publisher = {Springer US},
Doi = {10.1007/s10958-011-0603-4},
Url = {http://dx.doi.org/10.1007/s10958-011-0603-4}
}
@article{JaegerNS2010,
Author = {W. Jäger and M. Neuss-Radu and T.A. Shaposhnikova},
Title = {Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size},
Journal = {Doklady Mathematics},
Year = {2010},
Volume = {82},
Number = {2},
Pages = {736–740},
Publisher = {SP MAIK Nauka/Interperiodica},
Doi = {10.1134/S1064562410050157},
Url = {http://dx.doi.org/10.1134/S1064562410050157}
}
@article{KettemannNeuss2008,
Author = {A. Kettemann and M. Neuss-Radu},
Title = {Derivation and analysis of a system modeling the chemotactic movement of hematopoietic stem cells},
Journal = {Journal of Mathematical Biology},
Year = {2008},
Volume = {56},
Number = {5},
Pages = {579–610},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00285-007-0132-4},
Url = {http://dx.doi.org/10.1007/s00285-007-0132-4}
}
@article{MikelicNN2013,
Author = {A. Mikelić and S. Nečasová and M. Neuss-Radu},
Title = {Effective slip law for general viscous flows over an oscillating surface},
Journal = {Mathematical Methods in the Applied Sciences},
Year = {2013},
Volume = {36},
Number = {15},
Pages = {2086–2100},
Doi = {10.1002/mma.2923},
Url = {http://dx.doi.org/10.1002/mma.2923}
}
@article{MunteanNeuss2010,
Author = {A. Muntean and M. Neuss-Radu},
Title = {A multiscale Galerkin approach for a class of nonlinear coupled reaction–diffusion systems in complex media},
Journal = {Journal of Mathematical Analysis and Applications},
Year = {2010},
Volume = {371},
Number = {2},
Pages = {705–718},
Doi = {10.1016/j.jmaa.2010.05.056},
Url = {http://www.sciencedirect.com/science/article/pii/S0022247X10004762},
Keywords = {Multiscale reaction–diffusion systems}
}
@article{NeussNM2006,
Author = {N. Neuss and M. Neuss-Radu and A. Mikelić},
Title = {Effective laws for the Poisson equation on domains with curved oscillating boundaries},
Journal = {Applicable Analysis},
Year = {2006},
Volume = {85},
Number = {5},
Pages = {479–502},
Doi = {10.1080/00036810500340476},
Url = {http://www.tandfonline.com/doi/abs/10.1080/00036810500340476}
}
@incollection{Neuss2002,
Author = {M. Neuss-Radu},
Title = {The Failure of Uniform Exponential Decay for Boundary Layers},
Year = {2002},
Pages = {243–250},
Editor = {N. Antonić and C.J. Duijn and W. Jäger and A. Mikelić},
Publisher = {Springer Berlin Heidelberg},
Isbn = {978-3-540-43584-6},
Booktitle = {Multiscale Problems in Science and Technology},
Doi = {10.1007/978-3-642-56200-6_10},
Url = {http://dx.doi.org/10.1007/978-3-642-56200-6_10}
}
@article{Neuss2001,
Author = {M. Neuss-Radu},
Title = {The boundary behavior of a composite material},
Journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
Year = {2001},
Volume = {35},
Pages = {407–435},
Month = {5},
Doi = {10.1051/m2an:2001122},
Url = {http://www.esaim-m2an.org/action/article_S0764583X01001224}
}
@article{Neuss2000,
Author = {M. Neuss-Radu},
Title = {A result on the decay of the boundary layers in the homogenization theory},
Journal = {Asymptotic Analysis},
Year = {2000},
Volume = {23},
Number = {3},
Pages = {313–328},
Publisher = {IOS Press}
}
@phdthesis{Neuss1999,
Author = {M. Neuss-Radu},
Title = {Boundary layers in the homogenization of elliptic problems},
Year = {1999},
School = {Univ. Heidelberg}
}
@article{Neuss1996,
Author = {M. Neuss-Radu},
Title = {Some extensions of two-scale convergence},
Journal = {Comptes Rendus de l'Académie des Sciences. Série 1, Mathématique},
Year = {1996},
Volume = {322},
Number = {9},
Pages = {899–904},
Publisher = {Elsevier}
}
@article{NeussJaeger2007,
Author = {M. Neuss-Radu and W. Jäger},
Title = {Effective transmission conditions for reaction-diffusion processes in domains separated by an interface},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {2007},
Volume = {39},
Number = {3},
Pages = {687–720},
Publisher = {SIAM}
}
@article{NeussJaeger2005,
Author = {M. Neuss-Radu and W. Jäger},
Title = {Homogenization of thin porous layers and applications to ion transport through channels of biological membranes},
Journal = {Oberwolfach Reports},
Year = {2005},
Volume = {49},
Pages = {2809–2812}
}
@article{NeussJM2009,
Author = {M. Neuss-Radu and W. Jäger and A. Mikelic},
Title = {Modelling and analysis for the interaction of flow, chemical reactions and mechanics in cell tissue},
Journal = {Oberwolfach Reports},
Year = {2009},
Volume = {24},
Pages = {1325–1328}
}
@article{NeussKettemann2006,
Author = {M. Neuss-Radu and M. Kettemann},
Title = {A mathematical model for stroma controlled chemotaxis of hematopoietic stem cells},
Journal = {Oberwolfach Reports},
Year = {2006},
Volume = {24},
Pages = {1443–1446}
}
@article{NeussLJ2010,
Author = {M. Neuss-Radu and S. Ludwig and W. Jäger},
Title = {Multiscale analysis and simulation of a reaction–diffusion problem with transmission conditions},
Journal = {Nonlinear Analysis: Real World Applications},
Year = {2010},
Volume = {11},
Number = {6},
Pages = {4572–4585},
Doi = {dx.doi.org/10.1016/j.nonrwa.2008.11.024},
Url = {http://www.sciencedirect.com/science/article/pii/S1468121809000480}
}
@phdthesis{Radu1992,
Author = {M. Radu},
Title = {Homogenization techniques},
Year = {1992},
School = {Diplomarbeit, University of Heidelberg, Faculty of Mathematics}
}
@article{WellerNJ2013,
Author = {F. Weller and M. Neuss-Radu and W. Jäger},
Title = {Analysis of a Free Boundary Problem Modeling Thrombus Growth},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {2013},
Volume = {45},
Number = {2},
Pages = {809–833},
Doi = {10.1137/100816626},
Url = {http://epubs.siam.org/doi/abs/10.1137/100816626}
}
@article{BrunnerRK2014,
Author = {F. Brunner and F. A. Radu and P. Knabner},
Title = {Analysis of an upwind-mixed hybrid finite element method for transport problems},
Journal = {SIAM J. Numer. Anal},
Year = {2014},
Volume = {52},
Number = {1},
Pages = {83-102},
Doi = {10.1137/130908191},
Url = {http://epubs.siam.org/doi/pdf/10.1137/130908191}
}
@article{KrehelMK2014,
Author = {O. Krehel and A. Muntean and P. Knabner},
Title = {Multiscale modeling of colloidal dynamics in porous media including aggregation and deposition},
Journal = {Advances in Water Resources},
Year = {2015},
Volume = {86},
Number = {A},
Pages = {209–216},
Doi = {doi:10.1016/j.advwatres.2015.10.005}
}
@article{KnabnerMarchand2013,
Author = {P. Knabner and E. Marchand},
Title = {Results of the MoMaS benchmark for gas phase appearance and disappearance using generalized MHFE},
Journal = {Advances in Water Resources},
Year = {2013},
Doi = {10.1016/j.advwatres.2014.07.005},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170814001390}
}
@article{BrunnerFK2014,
Author = {F. Brunner and F. Frank and P. Knabner },
Title = {FV Upwind Stabilization of FE Discretizations for Advection–Diffusion Problems},
Year = {2014},
Volume = {77},
Pages = {177-185},
Editor = {J. Fuhrmann, M. Ohlberger, Ch. Rohde},
Publisher = {Springer International Publishing},
Series = {FVCA 7},
Edition = {Springer Proceedings in Mathematics & Statistics},
Isbn = {978-3-319-05683-8},
Booktitle = {Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects},
Doi = {10.1007/978-3-319-05684-5_16}
}
@article{GahnNRK2015,
Author = {M. Gahn and M. Neuss-Radu and P. Knabner },
Title = {Homogenization of reaction-diffusion processes in a two-component porous medium with nonlinear flux conditions at the interface},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2016},
Volume = {76},
Number = {5},
Pages = {1819-1843},
Doi = {10.1137/15M1018484}
}
@article{LorenzMW2014,
Author = {M. Lorenz and N. Marheineke and R. Wegener},
Title = {On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model},
Journal = {Journal of Mathematics in Industry},
Year = {2014},
Volume = {4},
Number = {2},
Doi = {10.1186/2190-5983-4-2},
Url = {http://www.mathematicsinindustry.com/content/4/1/2}
}
@article{fouquet04OGST,
Author = {Ch. de Fouquet and A. Prechtel and J.-C. Setier},
Title = {Estimation de la concentration en hydrocarbures totaux du sol d'un ancien site p\'{e}trochimique: \'{e}tude m\'{e}thodologique},
Journal = {Oil \& Gas Science and Technology},
Year = {2004},
Volume = {59},
Number = {3},
Pages = {275-295},
Doi = {10.2516/ogst:2004020}
}
@inproceedings{RaduBPA2008,
Author = {Radu, F.A. and Bause, M. and Prechtel, A. and Attinger, S.},
Title = {A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media},
Year = {2008},
Pages = {513-520},
Editor = {Kunisch, Karl and Of, Günther and Steinbach, Olaf},
Publisher = {Springer},
Isbn = {978-3-540-69776-3},
Booktitle = {Numerical Mathematics and Advanced Applications},
Doi = {10.1007/978-3-540-69777-0_61},
Url = {http://dx.doi.org/10.1007/978-3-540-69777-0_61}
}
@book{prechtel2005,
Author = {A. Prechtel},
Title = {Modelling and Efficient Numerical Solution of Hydrogeochemical Multicomponent Transport Problems by Process-Preserving Decoupling Techniques},
Year = {2005},
Publisher = {Shaker},
Isbn = {978-3-8322-4295-4},
Url = {http://www.shaker.de/shop/978-3-8322-4295-4}
}
@article{MirabitoDA2014,
Author = {C. Mirabito and C. Dawson and V. Aizinger},
Title = {An a priori error estimate for the local discontinuous Galerkin method applied to two-dimensional shallow water and morphodynamic flow},
Journal = {Numerical Methods for Partial Differential Equations},
Year = {2015},
Volume = {31},
Number = {2},
Pages = {397-421},
Doi = {10.1002/num.21914},
Url = {http://dx.doi.org/10.1002/num.21914},
Keywords = {a priori estimates, bed morphology, conservation laws, finite elements, local discontinuous Galerkin, sediment transport, shallow water equations}
}
@article{KnabnerRoberts2014,
Author = {P. Knabner and J.E. Roberts},
Title = {Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture},
Journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
Year = {2014},
Volume = {48},
Number = {5},
Pages = {1451-1472},
Publisher = {EDP Sciences},
Doi = {10.1051/m2an/2014003},
Url = {http://www.esaim-m2an.org/download.php?file=%2FMZA%2FMZA48_05%2FS0764583X1400003Xa.pdf&code=04fcc317c2151c6f81bc6fe8a66d382c}
}
@incollection{Neuss-Radu2014,
Author = {M. Neuss-Radu},
Title = {Homing to the Niche: A Mathematical Model Describing the Chemotactic Migration of Hematopoietic Stem Cells},
Year = {2014},
Editor = {G. Ajmone-Marsan and M. Delitala},
Publisher = {Springer Proceedings in Mathematics & Statistics, Vol. 67},
Isbn = {9783319037592},
Booktitle = {Managing Complexity: Modeling Biological Systems, 1st Kepler Prize Workshop of the European Academy of Sciences (EURASC), Heidelberg, May 2011},
Url = {http://books.google.de/books?id=qZTIAwAAQBAJ}
}
@article{AnJNR2014,
Author = {Le Thi Thanh An and W. Jäger and M. Neuss-Radu},
Title = {Systems of Populations with Multiple Structures: Modelling and Analysis},
Journal = {Journal of Dynamics and Differential Equations (JDDE)},
Year = {2015},
Pages = {1-15},
Doi = {10.1007/s10884-015-9469-3}
}
@article{KumarNRP2013,
Author = {K. Kumar and M. Neuss-Radu and I.S. Pop},
Title = {Homogenization of a pore scale model for precipitation and dissolution in porous media},
Journal = {IMA Journal of Applied Mathematics},
Year = {2014},
Pages = {(submitted)}
}
@article{AlandBHKWW2012,
Author = {S. Aland and S. Boden and A. Hahn and F. Klingbeil and M. Weismann and S. Weller},
Title = {Quantitative comparison of {T}aylor flow simulations based on sharp-interface and diffuse-interface models},
Journal = {International Journal for Numerical Methods in Fluids},
Year = {2013},
Volume = {73},
Number = {4},
Pages = {344--361},
Publisher = {John Wiley \& Sons, Ltd},
Address = {Hoboken, US-NJ},
Doi = {10.1002/fld.3802}
}
@article{AizingerKGR2015,
Author = {V. Aizinger and P. Korn and M. Giorgetta and S. Reich},
Title = {Large-scale turbulence modelling via α-regularisation for atmospheric simulations},
Journal = {Journal of Turbulence},
Year = {2015},
Volume = {16},
Number = {4},
Pages = {367-391},
Doi = {10.1080/14685248.2014.991443},
Url = {http://dx.doi.org/10.1080/14685248.2014.991443}
}
@article{AntonicCJMNP2014,
Author = {Antonić, N. and Capasso, V. and
Jäger, W. and Mikelić, A. and Neuss-Radu, M. and Pop, I.S.},
Title = {Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives},
Journal = {Nonlinear Analysis: Real World Applications},
Year = {2014},
Volume = {15},
Number = {1},
Pages = {263-265},
Doi = {10.1016/j.nonrwa.2013.09.008},
Url = {http://www.sciencedirect.com/science/article/pii/S1468121813000795},
Type = {Editorial}
}
@article{AizingerKK2015,
Author = {V. Aizinger and D. Kuzmin and L. Korous},
Title = {Scale separation in fast hierarchical solvers for discontinuous Galerkin methods},
Journal = {Applied Mathematics and Computation},
Year = {2015},
Volume = {266},
Pages = {838-849},
Doi = {10.1016/j.amc.2015.05.047},
Url = {http://www.sciencedirect.com/science/article/pii/S0096300315006645}
}
@article{RayEK2015,
Author = {N. Ray and T. Elbinger and P. Knabner },
Title = {Upscaling flow and transport in an evolving porous medium with general interaction potentials},
Journal = {SIAM Journal on Applied Mathematics},
Year = {2015},
Volume = {75},
Number = {5},
Pages = {2170–2192},
Doi = {10.1137/140990292},
Url = {http://www.math.fau.de/fileadmin/preprints/pr386.pdf}
}
@article{SchulzRFMK2015,
Author = {R. Schulz and N. Ray and F. Frank and H. Mahato and P. Knabner},
Title = {Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium},
Journal = {European Journal of Applied Mathematics},
Year = {2017},
Volume = {28},
Number = {2},
Pages = {179-207},
Doi = {10.1017/S0956792516000164},
Url = {http://www.math.fau.de/fileadmin/preprints/pr388.pdf}
}
@article{MarchandKnabner2013,
Author = {E. Marchand and P. Knabner},
Title = {Results of the MoMaS benchmark for gas phase appearance and disappearance using generalized MHFE},
Journal = {Advances in Water Resources},
Year = {2014},
Volume = {73},
Pages = {74-96},
Month = {November},
Doi = {10.1016/j.advwatres.2014.07.005}
}
@article{Suciu2014,
Author = {N. Suciu},
Title = {Diffusion in random velocity fields with applications to contaminant transport in groundwater},
Journal = {Advances in Water Resources},
Year = {2014},
Volume = {69},
Number = {0},
Pages = {114-133},
Publisher = {Elsevier},
Doi = {doi:10.1016/j.advwatres.2014.04.002},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170814000633},
Keywords = {Groundwater;
Transport processes;
Ergodicity;
Random fields;
Random walk;
PDF methods}
}
@article{VamosCS2015,
Author = { C. Vamoş and M. Crăciun and N. Suciu},
Title = {Automatic algorithm to decompose discrete paths of fractional Brownian motion into self-similar intrinsic components},
Journal = {European Physical Journal B},
Year = {2015},
Volume = {88},
Number = {10},
Pages = {250},
Doi = {10.1140/epjb/e2015-60515-5}
}
@article{SuciuRASK2015,
Author = {N. Suciu and F. A. Radu and S. Attinger and L. Schüler and P. Knabner},
Title = {A Fokker–Planck approach for probability distributions of species concentrations transported in heterogeneous media},
Journal = {Journal of Computational and Applied Mathematics},
Year = {2015},
Volume = {289},
Pages = {241-252},
Publisher = {Elsevier},
Doi = {doi:10.1016/j.cam.2015.01.030},
Url = {http://www.sciencedirect.com/science/article/pii/S0377042715000424},
Keywords = {Random walk methods}
}
@article{YangRJNR2015,
Author = {Y. Yang and T. Richter and W. Jäger and M. Neuss-Radu },
Title = {An ALE approach to mechano-chemical processes in fluid-structure interactions},
Journal = {I. J. Num. Meth. Fluids},
Year = {2015},
Pages = {submitted}
}
@article{ReuterAK2015,
Author = {B. Reuter and V. Aizinger and H. Köstler},
Title = {A multi-platform scaling study for an OpenMP parallelization of a discontinuous Galerkin ocean model},
Journal = {Computers and Fluids},
Year = {2015},
Volume = {117},
Pages = {325 - 335},
Publisher = {Elsevier},
Doi = {doi:10.1016/j.compfluid.2015.05.020},
Url = {http://www.sciencedirect.com/science/article/pii/S0045793015001759}
}
@inproceedings{BauseBKR2013,
Author = {M. Bause and F. Brunner and P. Knabner and F. A. Radu },
Title = {An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems},
Year = {2013},
Pages = {247-255},
Editor = {Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley},
Publisher = {Springer},
Isbn = {978-3-642-33133-6},
Booktitle = {Numerical Mathematics and Advanced Applications},
Doi = {10.1007/978-3-642-33134-3_27},
Url = {http://link.springer.com/chapter/10.1007%2F978-3-642-33134-3_27}
}
@article{BrunnerFK2015,
Author = {F. Brunner and J. Fischer and P. Knabner },
Title = {Analysis of a modified second-order mixed hybrid BDM₁ finite Element method for transport problems in divergence form},
Journal = {SIAM Journal on Numerical Analysis},
Year = {2016},
Volume = {54},
Number = {4},
Pages = {2359–2378},
Doi = {10.1137/15M1035379},
Url = {http://j-fischer.eu/pdf/bdm1_transport.pdf}
}
@article{ElbingerGNRHVLK2015,
Author = {T. Elbinger and M. Gahn and M. Neuss-Radu and F. M. Hante and L. M. Voll and G. Leugering and P. Knabner },
Title = {Model based design of biochemical micro-reactors},
Journal = {Frontiers in Bioengineering and Biotechnology},
Year = {2016},
Volume = {4},
Number = {13},
Doi = {10.3389/fbioe.2016.00013},
Url = {http://www.frontiersin.org/synthetic_biology/10.3389/fbioe.2016.00013/abstract}
}
@article{SuciuSAK2015,
Author = {N. Suciu and L. Schüler and S. Attinger and P. Knabner},
Title = {Towards a filtered density function approach for reactive transport in groundwater},
Journal = {Advances in Water Resources},
Year = {2016},
Volume = {90},
Pages = {83-98},
Publisher = {Elsevier},
Doi = {10.1016/j.advwatres.2016.02.016}
}
@article{MahatoKBK2015,
Author = {H. Mahato and S. Kräutle and M. Böhm and P. Knabner},
Title = {Upscaling of a system of diffusion-reaction equations coupled with a system of ordinary differential equations originating in the context of crystal dissolution and precipitation of minerales in a porous medium},
Journal = {Advances in Mathematical Sciences and Applications},
Year = {2017},
Volume = {26},
Number = {1},
Pages = {39-81}
}
@article{ShokinaAizinger2015,
Author = {N. Shokina and V. Aizinger},
Title = {On numerical modelling of impulse water waves generated by submarine landslides},
Journal = {Environmental Earth Sciences},
Year = {2015},
Volume = {74},
Number = {11},
Pages = {7387-7405},
Doi = {10.1007/s12665-015-4746-3},
Url = {http://dx.doi.org/10.1007/s12665-015-4746-3}
}
@article{SuciuSAVK2015,
Author = {N. Suciu and L. Schüler and S. Attinger and C. Vamos and P. Knabner},
Title = {Consistency issues in PDF methods},
Journal = {Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica},
Year = {2015},
Volume = {23},
Number = {3},
Pages = {187-208},
Doi = {10.1515/auom-2015-0055},
Url = {http://www.anstuocmath.ro/mathematics//anale2015vol3/Suciu_N.__Schuler_L.__Attinger_S.__Vamos_C.__Knabner_P..pdf},
Keywords = {"PDF methods", "mixing", "random walk"}
}
@article{SuciuARVVVK2015,
Author = {N. Suciu and S. Attinger F. A. Radu and C. Vamos and J. Vanderborght and H. Vereecken and P. Knabner},
Title = {Solute transport in aquifers with evolving scale heterogeneity},
Journal = {Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica},
Year = {2015},
Volume = {23},
Number = {3},
Pages = {167-186},
Doi = {10.1515/auom-2015-0054},
Url = {http://www.anstuocmath.ro/mathematics//anale2015vol3/Suciu_N.__Attinger_S.__Radu_F._A.__Vamocs_C.__Vanderborght_J.__Vereecken_H.___Knabner_P..pdf},
Keywords = {"porous media", "random fields",
"transport", "random walk"}
}
@article{RaduMPSK2013,
Author = {F. A. Radu and A. Muntean and I. S. Pop and N. Suciu and O. Kolditz},
Title = {A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity},
Journal = {Journal of Computational and Applied Mathematics},
Year = {2013},
Volume = {246},
Number = {0},
Pages = {74 - 85},
Note = {Fifth International Conference on Advanced \{COmputational\} Methods in \{ENgineering\} (ACOMEN 2011)},
Doi = {10.1016/j.cam.2012.10.017},
Url = {http://www.sciencedirect.com/science/article/pii/S0377042712004438},
Keywords = {"Coupled reactive transport", "Convergence analysis", "Carbonation"}
}
@article{SuciuVVK2011,
Author = {N. Suciu and C. Vamos and H. Vereecken and P. Knabner},
Title = {Global random walk simulations for sensitivity and uncertainty analysis of passive transport models},
Journal = {Annals of the Academy of Romanian Scientists, Series on Mathematics and its Applications},
Year = {2011},
Volume = {3},
Number = {1},
Pages = {218-234},
Url = {http://www.mathematics-and-its-applications.com/preview/july2011/data/13_suciu_n.pdf},
Keywords = {"probabilistic particle methods", "transport processes", "Monte Carlo methods", "groundwater contamination"}
}
@article{RaduSHVKPA2011,
Author = {F. A. Radu and N. Suciu and J. Hoffmann and A. Vogel and O. Kolditz and C.-H. Park and S. Attinger},
Title = {Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: A comparative study},
Journal = {Advances in Water Resources},
Year = {2011},
Volume = {34},
Number = {1},
Pages = {47 - 61},
Doi = {10.1016/j.advwatres.2010.09.012},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170810001740},
Keywords = {"Solute transport", "Heterogeneous soils", "Galerkin finite elements", "Mixed finite elements", "Finite volumes", "Numerical diffusion "}
}
@article{Suciu2010,
Author = {N. Suciu},
Title = {Spatially inhomogeneous transition probabilities as memory effects for diffusion in statistically homogeneous random velocity fields},
Journal = {Physical Review E},
Year = {2010},
Volume = {81},
Number = {5},
Pages = {056301},
Month = {May},
Publisher = {American Physical Societ},
Doi = {10.1103/PhysRevE.81.056301},
Url = {http://link.aps.org/doi/10.1103/PhysRevE.81.056301}
}
@article{RaduSuciu2009,
Author = {F. A. Radu and N. Suciu},
Title = {Stochastic simulations based on mixed finite elements for solute transport in groundwater},
Journal = {PAMM},
Year = {2009},
Volume = {9},
Number = {1},
Pages = {19-22},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/pamm.200910006},
Url = {http://dx.doi.org/10.1002/pamm.200910006}
}
@inbook{SuciuVamos2010,
Author = {N. Suciu and C. Vamos},
Title = {Ergodic estimations of upscaled coefficients for diffusion in random velocity fields},
Year = {2010},
Pages = {617-626},
Editor = {Ecuyer, P.L. and Owen, A.B.},
Publisher = {Springer Berlin Heidelberg},
Series = {Mathematics and Statistics},
Isbn = {9783642041075},
Booktitle = {Monte Carlo and Quasi-Monte Carlo Methods 2008},
Doi = {10.1007/978-3-642-04107-5},
Url = {https://books.google.de/books?id=5Y9cnmtLGQYC}
}
@article{SuciuVamos2007,
Author = {N. Suciu and C. Vamos},
Title = {Comment on "Nonstationary flow and nonergodic transport in random porous media" by G. Darvini and P. Salandin},
Journal = {Water Resources Research},
Year = {2007},
Volume = {43},
Number = {12},
Note = {W12601},
Doi = {10.1029/2007WR005946},
Url = {http://dx.doi.org/10.1029/2007WR005946},
Keywords = {Groundwater transport, Stochastic hydrology, Uncertainty assessment, Stochastic processes}
}
@article{SuciuSVA2007,
Author = {N. Suciu and K. Sabelfeld and C. Vamos and C. Andronache},
Title = {Memory effects and ergodicity for diffusion in spatially correlated velocity fields},
Journal = {PAMM},
Year = {2007},
Volume = {7},
Number = {1},
Pages = {2010015-2010016},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/pamm.200700057},
Url = {http://dx.doi.org/10.1002/pamm.200700057}
}
@inbook{SuciuV2008,
Author = {N. Suciu and C. Vamos},
Title = {Ergodic simulations of diffusion in random velocity fields},
Year = {2008},
Pages = {659-668},
Editor = {Keller, A., Heinrich, S., Niederreiter, H.},
Publisher = {Springer Berlin Heidelberg},
Series = {Mathematics and Statistics},
Isbn = {978-3-540-74495-5},
Booktitle = {Monte Carlo and Quasi-Monte Carlo Methods 2006},
Doi = {10.1007/978-3-540-74496-2_40},
Url = {http://link.springer.com/chapter/10.1007/978-3-540-74496-2_40}
}
@article{SuciuVTPC2009,
Author = {N. Suciu and C. Vamos and I. Turcu and C. V. L. Pop and L. I. Ciortea},
Title = {Global random walk modelling of transport in complex systems},
Journal = {Computing and Visualization in Science},
Year = {2009},
Volume = {12},
Number = {2},
Pages = {77-85},
Publisher = {Springer-Verlag},
Doi = {10.1007/s00791-007-0077-6},
Url = {http://dx.doi.org/10.1007/s00791-007-0077-6},
Keywords = {Global random walk; Lattice gas; Human skin; Groundwater contamination}
}
@article{EberhardSV2007,
Author = {J. P. Eberhard and N. Suciu and C. Vamos},
Title = {On the self-averaging of dispersion for transport in quasi-periodic random media},
Journal = {Journal of Physics A: Mathematical and Theoretical},
Year = {2007},
Pages = {597},
Doi = {doi:10.1088/1751-8113/40/4/002},
Url = {http://stacks.iop.org/1751-8121/40/i=4/a=002}
}
@article{SuciuVE2006,
Author = {N. Suciu and C. Vamos and J. Eberhard},
Title = {Evaluation of the first-order approximations for transport in heterogeneous media},
Journal = {Water Resources Research},
Year = {2006},
Volume = {42},
Number = {11},
Note = {W11504},
Doi = {10.1029/2005WR004714},
Url = {http://dx.doi.org/10.1029/2005WR004714},
Keywords = {Groundwater transport, Stochastic hydrology, Prediction, Uncertainty quantification, first-order theories, Langevin equation, global random walk}
}
@article{SuciuVVHV2004,
Author = {N. Suciu and C. Vamos and J. Vanderborght and H. Hardelauf and H. Vereecken},
Title = {Numerical modeling of large scale transport of contaminant solutes using the global random walk algorithm},
Journal = {Monte Carlo Methods and Appl.},
Year = {2006},
Volume = {10},
Number = {2},
Pages = {155-179},
Doi = {10.1163/156939604777303235}
}
@article{VamosGST1996,
Author = {C. Vamos and A. Georgescu and N. Suciu and I. Turcu},
Title = {Balance equations for physical systems with corpuscular structure},
Journal = {Physica A: Statistical Mechanics and its Applications},
Year = {1996},
Volume = {227},
Pages = {81 - 92},
Doi = {10.1016/0378-4371(95)00373-8},
Url = {http://www.sciencedirect.com/science/article/pii/0378437195003738},
Keywords = {"Nonequilibrium", "Balance equation", "Continuum mechanics "}
}
@article{VamosSV2003,
Author = {C. Vamos and N. Suciu and H. Vereecken},
Title = {Generalized random walk algorithm for the numerical modeling of complex diffusion processes},
Journal = {Journal of Computational Physics},
Year = {2003},
Volume = {186},
Number = {2},
Pages = {527 - 544},
Doi = {http://dx.doi.org/10.1016/S0021-9991(03)00073-1},
Url = {http://www.sciencedirect.com/science/article/pii/S0021999103000731},
Keywords = {"Diffusion", "Random walk", "Groundwater", "Contaminant transport "}
}
@inbook{SuciuVVHN2001,
Author = {N. Suciu and C. Vamos and H. Vereecken and H. Hardelauf and O. Nitzsche},
Title = {Global random walk simulations of diffusion},
Year = {2001},
Pages = {343-354},
Editor = {Krämer, W., von Gudenberg, J. W.},
Series = {Mathematics and Statistics},
Isbn = {978-1-4419-3376-8},
Booktitle = {Scientific Computing, Validated Numerics, Interval Methods},
Doi = {10.1007/978-1-4757-6484-0_28},
Url = {http://link.springer.com/chapter/10.1007%2F978-1-4757-6484-0_28}
}
@article{VamosSB2000,
Author = {C. Vamos and N. Suciu and W. Blaj},
Title = {Derivation of one-dimensional hydrodynamic model for stock price evolution},
Journal = {Physica A: Statistical Mechanics and its Applications},
Year = {2000},
Volume = {287},
Pages = {461 - 467},
Doi = {10.1016/S0378-4371(00)00385-X},
Url = {http://www.sciencedirect.com/science/article/pii/S037843710000385X},
Keywords = {"Econophysics", "Statistical mechanics", "Hydrodynamics "}
}
@article{VamosSG1997,
Author = {C. Vamos and N. Suciu and A. Georgescu},
Title = {Hydrodynamic equations for one-dimensional systems of inelastic particles},
Journal = {Physical Review E},
Year = {1997},
Volume = {55},
Number = {5},
Pages = {6277-6280},
Month = {May},
Publisher = {American Physical Society},
Doi = {10.1103/PhysRevE.55.6277},
Url = {http://link.aps.org/doi/10.1103/PhysRevE.55.6277}
}
@article{VamosGST1996,
Author = {C. Vamos and A. Georgescu and N. Suciu and I. Turcu},
Title = {Balance equations for physical systems with corpuscular structure},
Journal = {Physica A: Statistical Mechanics and its Applications},
Year = {1996},
Volume = {227},
Pages = {81 - 92},
Doi = {10.1016/0378-4371(95)00373-8},
Url = {http://www.sciencedirect.com/science/article/pii/0378437195003738},
Keywords = {"Nonequilibrium", "Balance equation", "Continuum mechanics "}
}
@inproceedings{ElbingerGNRK2015,
Author = {T. Elbinger and M. Gahn and M. Neuss-Radu and P. Knabner},
Title = {Simulation of Processes in Living Cells: Towards the Modelling of Metabolic Channeling},
Year = {2015},
Pages = {44-47},
Editor = {A. Ibrahimbegovic and J.-M. Ghidaglia and A. Serdarevic and E. Ilic-Georgijevic and M. Hrasnica and S. Dolarevic and N. Ademovic},
Booktitle = {2nd International Conference on Multi-scale Computational Methods for Solids and Fluids},
Url = {http://www.gf.unsa.ba/eccomas-msf-2015/proceedings.pdf}
}
@conference{SchoenwetterDKHAKF2015,
Author = {D. Schoenwetter and A. Ditter and B. Kleinert and A. Hendricks and V. Aizinger and H. Koestler and D. Fey},
Title = {Tsunami and Storm Surge Simulation Using Low Power Architectures - Concept and Evaluation},
Year = {2015},
Pages = {377-382},
Editor = {M. S. Obaidat and J. Kacprzyk and T. Ören},
Publisher = {SCITEPRESS},
Isbn = {978-989-758-120-5},
Booktitle = {Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications},
Doi = {10.5220/0005566603770382},
Url = {http://www.scitepress.org/DigitalLibrary/Link.aspx?doi=10.5220/0005566603770382}
}
@article{SuciuVVHV2006,
Author = {N. Suciu and C. Vamos and J. Vanderborght and H. Hardelauf and H. Vereecken},
Title = {Numerical investigations on ergodicity of solute transport in heterogeneous aquifers},
Journal = {Water Resources Research},
Year = {2006},
Volume = {42},
Number = {4},
Note = {W04409},
Doi = {10.1029/2005WR004546},
Url = {http://dx.doi.org/10.1029/2005WR004546},
Keywords = {Groundwater transport, Groundwater quality, Stochastic hydrology, Uncertainty quantification, ergodicity, global random walk, macrodispersion}
}
@article{YangJNRR2014,
Author = {Y. Yang and W. Jäger and M. Neuss-Radu and T. Richter},
Title = {Mathematical modeling and simulation of the evolution of plaques in blood vessels},
Journal = {Journal of Mathematical Biology},
Year = {2015},
Pages = {1-24},
Doi = {10.1007/s00285-015-0934-8},
Url = {http://mscs.uni-hd.de/abstracts/yang.pdf}
}
@article{GahnNRK2015,
Author = {M. Gahn and M. Neuss-Radu and P. Knabner},
Title = {Derivation of an effective model for metabolic processes in living cells including substrate channeling},
Journal = {Vietnam Journal of Mathematics},
Year = {2017},
Volume = {45},
Number = {1-2},
Pages = {265-293},
Doi = {10.1007/s10013-016-0227-6}
}
@article{VibeM2015a,
Author = {A. Vibe and N. Marheineke },
Title = {Modeling of macroscopic stresses in a dilute suspension of small weakly inertial particles},
Journal = {submitted},
Year = {2015},
Url = {http://arxiv.org/abs/1507.08537}
}
@article{LindnerMSVW2016,
Author = {F. Lindner, N. Marheineke, H. Stroot, A. Vibe, R. Wegener },
Title = {Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting},
Journal = {Stochastics and Dynamics},
Year = {2016},
Pages = {accepted},
Url = {http://arxiv.org/abs/1601.04638}
}
@article{FrankRAK2015,
Author = {F. Frank and B. Reuter and V. Aizinger and P. Knabner},
Title = {FESTUNG: A MATLAB/GNUOctave toolbox for the discontinuous Galerkin method. Part I: Diffusion operator},
Journal = {Computers and Mathematics with Applications},
Year = {2015},
Volume = {70},
Number = {1},
Pages = {11 - 46},
Publisher = {Elsevier},
Doi = {10.1016/j.camwa.2015.04.013},
Url = {http://www.sciencedirect.com/science/article/pii/S0898122115001820}
}
@article{HinkelmannLAD2015,
Author = {R. Hinkelmann and Q. Liang and V. Aizinger and C. Dawson},
Title = {Robust shallow water models},
Journal = {Environmental Earth Sciences},
Year = {2015},
Volume = {74},
Number = {11},
Pages = {7273-7274},
Doi = {10.1007/s12665-015-4764-1},
Url = {http://dx.doi.org/10.1007/s12665-015-4764-1}
}
@article{VibeM2015b,
Author = {A. Vibe and N. Marheineke },
Title = {Impact of weak particle inertia on a dilute suspension of ellipsoids},
Journal = {Journal of Computational and Theoretical Transport},
Year = {2016},
Pages = {accepted},
Url = {http://arxiv.org/abs/1507.08537}
}
@article{FrankKnabner2016,
Author = {F. Frank and P. Knabner},
Title = {Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy-Nernst-Planck-Poisson system},
Journal = {ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)},
Year = {2017},
Pages = {accepted},
Publisher = {Elsevier},
Doi = {doi.org/10.1051/m2an/2017002}
}
@article{HerzKnabner2016a,
Author = {M. Herz and P. Knabner},
Title = {A thermodynamically consistent model for multicomponent electrolyte solutions},
Journal = {Preprint-Reihe Angewandte Mathematik des Departments Mathematik der Friedrich-Alexander-Universität Erlangen-Nürnberg},
Year = {2016},
Volume = {(383)},
Pages = {S. 1–45 (arXiv:1605.07455)},
Url = {http://arxiv.org/abs/1605.07455}
}
@article{HerzKnabner2016b,
Author = {M. Herz and P. Knabner},
Title = {Global existence of weak solutions of a model for electrolyte solutions - Part 1: Two-component case},
Journal = {Preprint-Reihe Angewandte Mathematik des Departments Mathematik der Friedrich-Alexander-Universität Erlangen-Nürnberg},
Year = {2016},
Volume = {(380)},
Pages = {S. 1–26 (arXiv:1605.07396)},
Url = {http://arxiv.org/abs/1605.07396}
}
@article{HerzKnabner2016c,
Author = {M. Herz and P. Knabner},
Title = {Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case},
Journal = {Preprint-Reihe Angewandte Mathematik des Departments Mathematik der Friedrich-Alexander-Universität Erlangen-Nürnberg},
Year = {2016},
Volume = {(381)},
Pages = {S. 1–15 (arXiv:1605.07445)},
Url = {http://arxiv.org/abs/1605.07445}
}
@article{ReuterAWFK2016,
Author = {B. Reuter and V. Aizinger and M. Wieland and F. Frank and P. Knabner},
Title = {FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting},
Journal = {Computers and Mathematics with Applications},
Year = {2016},
Volume = {72},
Number = {7},
Pages = {1896-1925},
Publisher = {Elsevier},
Doi = {10.1016/j.camwa.2016.08.006},
Url = {http://www.sciencedirect.com/science/article/pii/S0898122116304606}
}
@inbook{SchoenwetterDKHAF2016,
Author = {D. Schoenwetter and A. Ditter and B. Kleinert and A. Hendricks and V. Aizinger and D. Fey},
Title = {Virtualization Guided Tsunami and Storm Surge Simulations for Low Power Architectures},
Year = {2016},
Pages = {99-114},
Editor = {M. S. Obaidat and J. Kacprzyk and T. Ören and J. Filipe},
Publisher = {Springer International Publishing},
Isbn = {978-3-319-31295-8},
Booktitle = {Simulation and Modeling Methodologies, Technologies and Applications: International Conference, SIMULTECH 2015 Colmar, France, July 21-23, 2015 Revised Selected Papers},
Doi = {10.1007/978-3-319-31295-8_7},
Url = {http://dx.doi.org/10.1007/978-3-319-31295-8_7}
}
@inbook{DitterSKAF2017,
Author = {A. Ditter and D. Schoenwetter and A. Kuzmin and V. Aizinger and D. Fey},
Title = {Memory Analysis and Performance Modeling for HPC Applications on Embedded Hardware via Instruction Accurate Simulation},
Year = {2017},
Pages = {19-34},
Editor = {J. Janech and J. Kostolny and T. Gratkowski},
Publisher = {Springer International Publishing},
Isbn = {978-3-319-46535-7},
Booktitle = {Proceedings of the 2015 Federated Conference on Software Development and Object Technologies},
Doi = {10.1007/978-3-319-46535-7_2},
Url = {http://dx.doi.org/10.1007/978-3-319-46535-7_2}
}
@article{HerzKnabner2016d,
Author = {M. Herz and P. Knabner},
Title = {Modeling and simulation of coagulation according to DLVO-theory in a continuum model for electrolyte solutions},
Journal = {Preprint-Reihe Angewandte Mathematik des Departments Mathematik der Friedrich-Alexander-Universität Erlangen-Nürnberg},
Year = {2016},
Volume = {(382)},
Pages = {S. 1–14 (arXiv:1605.08602)},
Url = {http://arxiv.org/abs/1605.08602}
}
@article{HerzKnabner2016e,
Author = {M. Herz and P. Knabner},
Title = {Including van der Waals Forces in Diffusion-Convection Equations - Modeling, Analysis, and Numerical Simulations},
Journal = {Preprint-Reihe Angewandte Mathematik des Departments Mathematik der Friedrich-Alexander-Universität Erlangen-Nürnberg},
Year = {2016},
Volume = {(373)},
Pages = {S. 1–15 (arXiv:1608.08431)},
Url = {http://arxiv.org/abs/1608.08431}
}
@article{SummKnabner2016a,
Author = {G. Summ and P. Knabner},
Title = {Efficient Realization of the mixed fintite elment discretization for nonlinear problems},
Journal = {Manuscript},
Year = {2016},
Pages = {arXiv:1610.05528}
}
@article{SummKnabner2016b,
Author = {G. Summ and P. Knabner},
Title = {Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media},
Year = {2016},
Pages = {arXiv:1608.08829}
}
@article{SchulzKnabner2016,
Author = {R. Schulz and P. Knabner},
Title = {Derivation and Analysis of an Effective Model for Biofilm Growth in Evolving Porous Media},
Journal = {Mathematical Methods in the Applied Sciences},
Year = {2017},
Volume = {40},
Number = {8},
Pages = {2930–2948 },
Doi = {10.1002/mma.4211}
}
@article{SchulzKnabner2016a,
Author = {R. Schulz and P. Knabner},
Title = {An effective model for biofilm growth made by chemotactical bacteria in evolving porous media},
Journal = {SIAM J. Appl. Math.},
Year = {2017},
Volume = {77},
Number = {5},
Pages = {1653–1677},
Doi = {10.1137/16M108817X}
}
@article{Kräutle2011,
Author = {S. Kräutle},
Title = {The semismooth Newton method for multicomponent reactive transport with minerals},
Journal = {Advances in Water Resources},
Year = {2011},
Volume = {34},
Number = {1},
Pages = {137–151},
Doi = {10.1016/j.advwatres.2010.10.004}
}
@inproceedings{PrechtelKnabner2004,
Author = {A. Prechtel and P. Knabner},
Title = {Projekt 7.3: Modellierung des reaktiven Transports von Schadstoffen in der (un-)gesättigten Bodenzone zur Prognose der natürlichen Selbstreinigung (FKZ 0330520)},
Year = {2004},
Pages = {304--310},
Publisher = {UFZ-Umweltforschungszentrum Leipzig Halle},
Booktitle = {KORA - Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung Kontaminierter Grundwässer und Böden: Statusseminar 2004}
}
@inproceedings{KnabnerKOP2005,
Author = {P. Knabner and S. Kräutle and S. Oßmann and A. Prechtel},
Title = {Projekt 7.3: Modellierung des reaktiven Transports von Schadstoffen in der (un-)gesässtigten Bodenzone zur Prognose der natürlichen Selbsreinigung - Komplexe Probleme berechenbar machen},
Year = {2005},
Pages = {417-427},
Publisher = {DECHEMA Gesellschaft für Chemische Technik und Biotechnologie e.V., Frankfurt am Main},
Isbn = {3-89746-071-X},
Booktitle = {KORA - Kontrollierter natürlicher Rückhalt und Abbau von Schadstoffen bei der Sanierung Kontaminierter Grundwässer und Böden: Statusseminar 2005}
}
@inproceedings{PrechtelHKK2006,
Author = {A. Prechtel and J. Hoffmann and S. Kräutle and P. Knabner},
Title = {Reaktive Mehrkomponentenprobleme: Sicherung von Effizienz und Zuverlässigkeit},
Year = {2006},
Pages = {159-173},
Publisher = {Dresdner Grundwasserforschungszentrum e.V. (DGFZ), Dresden},
Series = {Gemeinsame Mitteilungen des DGFZ e.V. und seiner Partner},
Booktitle = {Modellierung und Prognose von Natural Attenuation-Prozessen im Untergrund: Statusseminar des KORA-TV 7}
}
@article{AizingerRSK2016,
Author = {V. Aizinger and A. Rupp and J. Schütz and P. Knabner},
Title = {Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow},
Journal = {Computational Geosciences},
Year = {2018},
Volume = {22},
Number = {1},
Pages = {179-194},
Doi = {10.1007/s10596-017-9682-8},
Url = {https://doi.org/10.1007/s10596-017-9682-8}
}
@article{RuppKnabner2016,
Author = {A. Rupp and Knabner},
Title = {Convergence Order Estimates of the Local Discontinuous Galerkin Method for Instationary Darcy Flow},
Journal = {Numerical Methods for Partial Differential Equations},
Year = {2017},
Volume = {33},
Number = {4},
Pages = {1374–1394 },
Doi = {10.1002/num.22150}
}
@article{SchuelerSKA2016,
Author = {L. Schüler and N. Suciu and P. Knabner and S. Attinger},
Title = {A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers},
Journal = {Advances in Water Resources},
Year = {2016},
Volume = {96},
Pages = {55-67},
Publisher = {Elsevier},
Doi = {10.1016/j.advwatres.2016.06.012}
}
@conference{SchoenwetterDARF2016,
Author = {D. Schoenwetter and A. Ditter and V. Aizinger and B. Reuter and D. Fey},
Title = {Cache Aware Instruction Accurate Simulation of a 3-D Coastal Ocean Model on Low Power Hardware},
Year = {2016},
Pages = {129-137},
Editor = {Y. Merkuryev and T. Ören and M.S. Obaidat},
Publisher = {SCITEPRESS},
Isbn = {978-989-758-199-1},
Booktitle = {Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications},
Doi = {10.5220/0006006501290137},
Url = {http://www.scitepress.org/DigitalLibrary/Link.aspx?doi=10.5220/0006006501290137}
}
@article{JaustSA2016,
Author = {A. Jaust and J. Schütz and V. Aizinger},
Title = {An efficient linear solver for the hybridized discontinuous Galerkin method},
Journal = {PAMM},
Year = {2016},
Volume = {16},
Number = {1},
Pages = {845-846},
Publisher = {WILEY-VCH Verlag},
Doi = {10.1002/pamm.201610411},
Url = {http://dx.doi.org/10.1002/pamm.201610411}
}
@article{KräutleHK2016,
Author = {S. Kräutle and J. Hoffmann and P. Knabner},
Title = {Existence and uniqueness of a global solution for reactive transport with mineral precipitation-dissolution and aquatic reactions in porous media},
Journal = {SIAM Journal on Mathematical Analysis},
Year = {2017},
Volume = {49},
Number = {6},
Pages = {4812–4837},
Doi = {10.1137/16M1109266}
}
@article{SummKnabner2016a,
Author = {G. Summ and P. Knabner},
Title = {Hybrid Discretization Methods for Transient Numerical Simulation of Combustion in Porous Media},
Journal = {Submitted for publication},
Year = {2016},
Pages = {arXiv:1608.08817}
}
@article{SchuetzAizinger2017,
Author = {J. Schütz and V. Aizinger},
Title = {A hierarchical scale separation approach for the hybridized discontinuous Galerkin method},
Journal = {Journal of Computational and Applied Mathematics},
Year = {2017},
Volume = {317},
Pages = {500-509},
Doi = {10.1016/j.cam.2016.12.018},
Url = {http://www.sciencedirect.com/science/article/pii/S0377042716306288}
}
@article{BungertAF2017,
Author = {L. Bungert and V. Aizinger and M. Fried},
Title = {A Discontinuous Galerkin Method for the Subjective Surfaces Problem},
Journal = {Journal of Mathematical Imaging and Vision},
Year = {2017},
Volume = {58},
Number = {1},
Pages = {147–161},
Doi = {10.1007/s10851-016-0695-z},
Url = {http://dx.doi.org/10.1007/s10851-016-0695-z}
}
@article{AizingerKKR2017,
Author = {V. Aizinger and A. Kosik and D. Kuzmin and B. Reuter},
Title = {Anisotropic slope limiting for discontinuous Galerkin methods},
Journal = {International Journal for Numerical Methods in Fluids},
Year = {2017},
Volume = {84},
Number = {9},
Pages = {543–565},
Publisher = {John Wiley & Sons, Ltd},
Doi = {10.1002/fld.4360},
Url = {http://dx.doi.org/10.1002/fld.4360}
}
@INPROCEEDINGS{OetjenEEMPWASB2015,
Author = {J. Oetjen and M. Engel and Ch. Effkemann and S. May and S. Pudasaini and T. Wöffler and V. Aizinger and H. Schüttrumpf and H. Brückner},
Title = {Numerical modelling of tsunami scenarios for the island of Bonaire (Leeward Antilles)},
Year = {2015},
Pages = {81-85},
Booktitle = {Programme and Abstract Book, 4th International Tsunami Field Symposium},
Url = {https://publications.rwth-aachen.de/record/571635}
}
@article{KnabnerRannacher2017,
Author = {P. Knabner and R. Rannacher},
Title = {A Priori Error Analysis for the Galerkin Finite Element Semi-discretization of a Parabolic System with Non-Lipschitzian Nonlinearity},
Journal = {Vietnam Journal of Mathematics},
Year = {2017},
Volume = {45},
Number = {1},
Pages = {179–198},
Doi = {10.1007/s10013-016-0214-y}
}
@article{WackerKnabner2017,
Author = {P. Wacker and P. Knabner},
Title = {A numerical study of Haar wavelet priors in an elliptical Bayesian inverse problem},
Journal = {SIAM Journal on Scientific Computing (SISC)},
Year = {2017},
Pages = {submitted. arXiv:1710.07428},
Url = {https://arxiv.org/abs/1710.07428}
}
@article{RaySRK18,
Author = {N. Ray, R. Schulz, A. Rupp and P. Knabner},
Title = {Old and new approaches predicting the diffusion in porous media},
Journal = {Transport in Porous Media},
Year = {2018},
Pages = {1-22},
Doi = {10.1007/s11242-018-1099-x}
}
@article{AizingerBF2018,
Author = {V. Aizinger and L. Bungert and M. Fried},
Title = {Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem},
Journal = {Computing and Visualization in Science},
Year = {2018},
Volume = {18},
Number = {6},
Pages = {193-202},
Doi = {10.1007/s00791-018-0291-4},
Url = {https://doi.org/10.1007/s00791-018-0291-4}
}
@article{MahatoKK,
Author = {H. S. Mahato, S. Kräutle and P. Knabner},
Title = {Evolving micro-structures in a porous medium: upscaling via a rigorous level set approach},
Journal = {Networks and Heterogeneous Media},
Year = {2015},
Pages = {submitted}
}
@article{MahatoBKK,
Author = {H. S. Mahato, M. Böhm, S. Kräutle and P. Knabner},
Title = {Homogenization of a system of multi-species diffusion-reaction-dissolution-precipitation equations in the presence of inflo-outflow boundary conditions},
Journal = {Siam Journal of Mathematical Analysis},
Year = {2015},
Pages = {submitted}
}
@article{RuppKD17,
Author = {A. Rupp, P. Knabner and C. Dawson},
Title = {A Local Discontinuous Galerkin Scheme for Darcy Flow with Internal Jumps},
Journal = {Computational Geosciences},
Year = {2018},
Pages = {1-11},
Doi = {10.1007/s10596-018-9743-7}
}
@article{HajdukHAR2018,
Author = {H. Hajduk and B. R. Hodges and V. Aizinger and B. Reuter},
Title = {Locally Filtered Transport for computational efficiency in multi-component advection-reaction models},
Journal = {Environmental Modelling & Software},
Year = {2018},
Volume = {102},
Pages = {185-198},
Doi = {10.1016/j.envsoft.2018.01.003},
Url = {https://www.sciencedirect.com/science/article/pii/S1364815217304358}
}
@article{JaustRASK2018,
Author = {A. Jaust and B. Reuter and V. Aizinger and J. Schütz and P. Knabner},
Title = {FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation},
Journal = {Computers and Mathematics with Applications},
Year = {2018},
Volume = {75},
Number = {12},
Pages = {4505-4533},
Publisher = {Elsevier},
Doi = {10.1016/j.camwa.2018.03.045},
Url = {http://www.sciencedirect.com/science/article/pii/S0898122118301895}
}
@article{MarxCAPGB,
Author = {Marx, A. and Conrad, M. and Aizinger, V. and Prechtel, A. and van Geldern, R. and Barth, J. A. C.},
Title = {Groundwater data improve modelling of headwater stream CO$_2$ outgassing with a stable DIC isotope approach},
Journal = {Biogeosciences},
Year = {2018},
Volume = {15},
Number = {10},
Pages = {3093-3106},
Publisher = {Copernicus Publications},
Doi = {10.5194/bg-15-3093-2018},
Url = {https://www.biogeosciences.net/15/3093/2018/}
}
@article{RuppAizingerReuterKnabner2018,
Author = {A. Rupp, V. Aizinger, B. Reuter and P. Knabner},
Title = {Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems},
Journal = {Computers & Mathematics with Applications},
Year = {2018},
Pages = {submitted},
Url = {https://arxiv.org/abs/1806.03909}
}
@article{ReuterRuppAizingerFrankKnabner2018,
Author = {B. Reuter, A. Rupp, V. Aizinger, F. Frank and P. Knabner},
Title = {FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface},
Journal = {Computers & Mathematics with Applications},
Year = {2018},
Pages = {submitted},
Url = {https://arxiv.org/abs/1806.03908}
}
@article{RuppTotschePrechtelRay2018,
Author = {A. Rupp, K.U. Totsche, A. Prechtel and N. Ray},
Title = {Discrete-continuum multiphase model for structure formation in soils including electrostatic effects},
Journal = {Frontiers in Environmental Science},
Year = {2018},
Pages = {submitted},
Url = {http://www.math.fau.de/fileadmin/preprints/pr399.pdf}
}
@article{GahnNeuss-RaduKnabner2018,
Author = {M.Gahn, M.Neuss-Radu und P.Knabner},
Title = {Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the bulk-layer interface},
Journal = {Networks and Heterogeneous Media},
Year = {2018},
Pages = {submitted}
}
@article{WackerKnabner2018,
Author = {P. Wacker and P. Knabner},
Title = {Wavelet-based priors accelerate maximum-a-posteriori optimization in Bayesian inverse problems},
Journal = {Methodology and computing in applied probability},
Year = {2018},
Pages = {submitted}
}
@article{RayRuppPrechtel2017,
Author = {N. Ray, A. Rupp und A. Prechtel},
Title = {Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media},
Journal = {Advances in Water Resources},
Year = {2017},
Volume = {107},
Pages = {393-404},
Month = {September},
Doi = {10.1016/j.advwatres.2017.04.001},
Url = {http://www.sciencedirect.com/science/article/pii/S0309170816304870?via%3Dihub}
}
@article{Totscheetal2018,
Author = {K. Totsche, W. Amelung, M. Gerzabek, G. Guggenberger, E. Klumpp, C. Knief, E. Lehndorff, R. Mikutta, S. Peth, A. Prechtel, N. Ray und I. Kögel-Knabner},
Title = {Microaggregates in Soils},
Journal = {Journal of Plant Nutrition and Soil Science},
Year = {2018},
Volume = {181},
Pages = {104-136},
Doi = {10.1002/jpln.201600451},
Url = {http://onlinelibrary.wiley.com/doi/abs/10.1002/jpln.201600451}
}
@article{,
Author = {M. Gahn and M. Neuss-Radu and P. Knabner},
Title = {Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the bulk-layer interface},
Year = {2018},
Pages = {accepted}
}
@COMMENT{Bibtex file generated on 2018-10-17 with typo3 si_bibtex plugin. Data from http://www.mso.math.fau.de/applied-mathematics-1/research/publications/