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Publications

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2018

Author(s) Title Source Links
Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow. Computational Geosciences. (2018) 22 (1) 179-194. [doi] [www] [BibTex]
Old and new approaches predicting the diffusion in porous media. Transport in Porous Media. (2018) 1-22. [doi] [BibTex]
Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem. Computing and Visualization in Science. (2018) 18 (6) 193-202. [doi] [www] [BibTex]
A Local Discontinuous Galerkin Scheme for Darcy Flow with Internal Jumps. Computational Geosciences. (2018) 1-11. [doi] [BibTex]
Locally Filtered Transport for computational efficiency in multi-component advection-reaction models. Environmental Modelling & Software. (2018) 102 185-198. [doi] [www] [BibTex]
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation. Computers and Mathematics with Applications. (2018) 75 (12) 4505-4533. [doi] [www] [BibTex]
Groundwater data improve modelling of headwater stream CO$_2$ outgassing with a stable DIC isotope approach. Biogeosciences. (2018) 15 (10) 3093-3106. [doi] [www] [BibTex]
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems. Computers & Mathematics with Applications. (2018) submitted. [www] [BibTex]
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface. Computers & Mathematics with Applications. (2018) submitted. [www] [BibTex]
Discrete-continuum multiphase model for structure formation in soils including electrostatic effects. Frontiers in Environmental Science. (2018) submitted. [www] [BibTex]
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the bulk-layer interface. Networks and Heterogeneous Media. (2018) submitted. [BibTex]
Wavelet-based priors accelerate maximum-a-posteriori optimization in Bayesian inverse problems. Methodology and computing in applied probability. (2018) submitted. [BibTex]
Microaggregates in Soils. Journal of Plant Nutrition and Soil Science. (2018) 181 104-136. [doi] [www] [BibTex]

2017

Author(s) Title Source Links
Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium. European Journal of Applied Mathematics. (2017) 28 (2) 179-207. [doi] [www] [BibTex]
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. Advances in Mathematical Sciences and Applications. (2017) 26 (1) 39-81. [BibTex]
Derivation of an effective model for metabolic processes in living cells including substrate channeling. Vietnam Journal of Mathematics. (2017) 45 (1-2) 265-293. [doi] [BibTex]
Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy-Nernst-Planck-Poisson system. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN). (2017) accepted. [doi] [BibTex]
Memory Analysis and Performance Modeling for HPC Applications on Embedded Hardware via Instruction Accurate Simulation. In J. Janech and J. Kostolny and T. Gratkowski (Eds.) Proceedings of the 2015 Federated Conference on Software Development and Object Technologies (2017) 19-34. [doi] [www] [BibTex]
Derivation and Analysis of an Effective Model for Biofilm Growth in Evolving Porous Media. Mathematical Methods in the Applied Sciences. (2017) 40 (8) 2930–2948 . [doi] [BibTex]
An effective model for biofilm growth made by chemotactical bacteria in evolving porous media. SIAM J. Appl. Math.. (2017) 77 (5) 1653–1677. [doi] [BibTex]
Convergence Order Estimates of the Local Discontinuous Galerkin Method for Instationary Darcy Flow. Numerical Methods for Partial Differential Equations. (2017) 33 (4) 1374–1394 . [doi] [BibTex]
Existence and uniqueness of a global solution for reactive transport with mineral precipitation-dissolution and aquatic reactions in porous media. SIAM Journal on Mathematical Analysis. (2017) 49 (6) 4812–4837. [doi] [BibTex]
A hierarchical scale separation approach for the hybridized discontinuous Galerkin method. Journal of Computational and Applied Mathematics. (2017) 317 500-509. [doi] [www] [BibTex]
A Discontinuous Galerkin Method for the Subjective Surfaces Problem. Journal of Mathematical Imaging and Vision. (2017) 58 (1) 147–161. [doi] [www] [BibTex]
Anisotropic slope limiting for discontinuous Galerkin methods. International Journal for Numerical Methods in Fluids. (2017) 84 (9) 543–565. [doi] [www] [BibTex]
A Priori Error Analysis for the Galerkin Finite Element Semi-discretization of a Parabolic System with Non-Lipschitzian Nonlinearity. Vietnam Journal of Mathematics. (2017) 45 (1) 179–198. [doi] [BibTex]
A numerical study of Haar wavelet priors in an elliptical Bayesian inverse problem. SIAM Journal on Scientific Computing (SISC). (2017) submitted. arXiv:1710.07428. [www] [BibTex]
Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media. Advances in Water Resources. (2017) 107 393-404. [doi] [www] [BibTex]

2016

Author(s) Title Source Links
Energy efficiency of the simulation of three-dimensional coastal ocean circulation on modern commodity and mobile processors. Computer Science - Research and Development. (2016) 31 (4) 225-234. [doi] [www] [BibTex]
Homogenization of reaction-diffusion processes in a two-component porous medium with nonlinear flux conditions at the interface. SIAM Journal on Applied Mathematics. (2016) 76 (5) 1819-1843. [doi] [BibTex]

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