Peter Knabner
Orcid: 0000-0003-2141-4889
According to our database1,
Peter Knabner
authored at least 29 papers
between 2001 and 2023.
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Bibliography
2023
CoRR, 2023
2022
Multiscale Model. Simul., 2022
2021
Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach.
Multiscale Model. Simul., 2021
FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods.
Comput. Math. Appl., 2021
2019
CoRR, 2019
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems.
Comput. Math. Appl., 2019
2018
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface.
Networks Heterog. Media, 2018
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface.
CoRR, 2018
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation.
Comput. Math. Appl., 2018
2017
Existence and Uniqueness of a Global Solution for Reactive Transport with Mineral Precipitation-Dissolution and Aquatic Reactions in Porous Media.
SIAM J. Math. Anal., 2017
An Effective Model for Biofilm Growth Made by Chemotactical Bacteria in Evolving Porous Media.
SIAM J. Appl. Math., 2017
2016
Analysis of a Modified Second-Order Mixed Hybrid BDM<sub>1</sub> Finite Element Method for Transport Problems in Divergence Form.
SIAM J. Numer. Anal., 2016
Homogenization of Reaction-Diffusion Processes in a Two-Component Porous Medium with Nonlinear Flux Conditions at the Interface.
SIAM J. Appl. Math., 2016
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part II: Advection operator and slope limiting.
Comput. Math. Appl., 2016
2015
Upscaling the Flow and Transport in an Evolving Porous Medium with General Interaction Potentials.
SIAM J. Appl. Math., 2015
A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media.
J. Comput. Appl. Math., 2015
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part I: Diffusion operator.
Comput. Math. Appl., 2015
2014
SIAM J. Numer. Anal., 2014
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture.
CoRR, 2014
2013
A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity.
J. Comput. Appl. Math., 2013
2011
Comput. Vis. Sci., 2011
The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions.
Comput. Optim. Appl., 2011
2010
Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures.
SIAM J. Numer. Anal., 2010
First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods.
Numerische Mathematik, 2010
2008
Error estimates for a mixed finite element discretization of some degenerate parabolic equations.
Numerische Mathematik, 2008
2004
Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation.
SIAM J. Numer. Anal., 2004
A priori error estimates for a mixed finite element discretization of the Richards' equation.
Numerische Mathematik, 2004
2002
Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems.
SIAM J. Numer. Anal., 2002
2001
The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements.
Numerische Mathematik, 2001