## Habilitationen und Promotionen

**Habilitationen und Promotionen am Lehrstuhl AM1 sind hier aufgelistet**

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## Publications

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### 2019

Author(s) | Title | Source | Links |
---|---|---|---|

H. Hajduk and D. Kuzmin and V. Aizinger | New directional vector limiters for discontinuous Galerkin methods. |
Journal of Computational Physics.
(2019)
384
308-325.
| [doi] [www] [BibTex] |

B. Reuter and A. Rupp and V. Aizinger and P. Knabner | Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems. |
Computers & Mathematics with Applications (in press).
(2019)
| [doi] [www] [BibTex] |

### 2018

Author(s) | Title | Source | Links |
---|---|---|---|

V. Aizinger and A. Rupp and J. Schütz and P. Knabner | Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow. |
Computational Geosciences.
(2018)
22
(1)
179-194.
| [doi] [www] [BibTex] |

N. Ray, R. Schulz, A. Rupp and P. Knabner | Old and new approaches predicting the diffusion in porous media. |
Transport in Porous Media.
(2018)
124
(3)
803-824.
| [doi] [www] [BibTex] |

V. Aizinger and L. Bungert and M. Fried | 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. Rupp, P. Knabner and C. Dawson | A Local Discontinuous Galerkin Scheme for Darcy Flow with Internal Jumps. |
Computational Geosciences.
(2018)
22
(4)
1149-1159.
| [doi] [www] [BibTex] |

H. Hajduk and B. R. Hodges and V. Aizinger and B. Reuter | Locally Filtered Transport for computational efficiency in multi-component advection-reaction models. |
Environmental Modelling & Software.
(2018)
102
185-198.
| [doi] [www] [BibTex] |

A. Jaust and B. Reuter and V. Aizinger and J. Schütz and P. Knabner | 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] |

Marx, A. and Conrad, M. and Aizinger, V. and Prechtel, A. and van Geldern, R. and Barth, J. A. C. | 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] |

B. Reuter and A. Rupp and V. Aizinger and F. Frank and P. Knabner | FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface. |
preprint.
(2018)
| [www] [BibTex] |

Beyer, S. and Kleiner, T. and Aizinger, V. and Rückamp, M. and Humbert, A. | A confined--unconfined aquifer model for subglacial hydrology and its application to the Northeast Greenland Ice Stream. |
The Cryosphere.
(2018)
12
(12)
3931-3947.
| [doi] [www] [BibTex] |

A. Rupp, K.U. Totsche, A. Prechtel and N. Ray | Discrete-continuum multiphase model for structure formation in soils including electrostatic effects. |
Frontiers in Environmental Science.
(2018)
submitted.
| [www] [BibTex] |

P. Wacker and P. Knabner | Wavelet-based priors accelerate maximum-a-posteriori optimization in Bayesian inverse problems. |
Methodology and computing in applied probability.
(2018)
submitted.
| [BibTex] |

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 | Microaggregates in Soils. |
Journal of Plant Nutrition and Soil Science.
(2018)
181
104-136.
| [doi] [www] [BibTex] |

M. Gahn and M. Neuss-Radu and P. Knabner | Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the bulk-layer interface. |
Networks & Heterogeneous Media.
(2018)
13
(4)
609-640.
| [doi] [www] [BibTex] |

F.Brunner,P.Knabner | A global implicit solver for miscible reactive multiphase multicomponent flow in porous media. |
Computational Geosciences.
(2018)
1-22.
| [doi] [www] [BibTex] |

### 2017

Author(s) | Title | Source | Links |
---|---|---|---|

R. Schulz and N. Ray and F. Frank and H. Mahato and P. Knabner | 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] |

H. Mahato and S. Kräutle and M. Böhm and P. Knabner | 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] |

M. Gahn and M. Neuss-Radu and P. Knabner | 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] |

F. Frank and P. Knabner | 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] |

A. Ditter and D. Schoenwetter and A. Kuzmin and V. Aizinger and D. Fey | 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] |

R. Schulz and P. Knabner | 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] |

R. Schulz and P. Knabner | 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] |

A. Rupp and Knabner | 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] |

S. Kräutle and J. Hoffmann and P. Knabner | 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] |

J. Schütz and V. Aizinger | A hierarchical scale separation approach for the hybridized discontinuous Galerkin method. |
Journal of Computational and Applied Mathematics.
(2017)
317
500-509.
| [doi] [www] [BibTex] |

L. Bungert and V. Aizinger and M. Fried | A Discontinuous Galerkin Method for the Subjective Surfaces Problem. |
Journal of Mathematical Imaging and Vision.
(2017)
58
(1)
147–161.
| [doi] [www] [BibTex] |

V. Aizinger and A. Kosik and D. Kuzmin and B. Reuter | Anisotropic slope limiting for discontinuous Galerkin methods. |
International Journal for Numerical Methods in Fluids.
(2017)
84
(9)
543–565.
| [doi] [www] [BibTex] |

P. Knabner and R. Rannacher | 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] |

P. Wacker and P. Knabner | 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] |

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