Peter Knabner

According to our database1, Peter Knabner authored at least 26 papers between 2001 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.



In proceedings 
PhD thesis 




FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods.
Comput. Math. Appl., 2021

Benchmark for numerical solutions of flow in heterogeneous groundwater formations.
CoRR, 2019

Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems.
Comput. Math. Appl., 2019

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

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

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

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

Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems.
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

A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity.
J. Comput. Appl. Math., 2013

Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems.
Comput. Vis. Sci., 2011

The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions.
Comput. Optim. Appl., 2011

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

Error estimates for a mixed finite element discretization of some degenerate parabolic equations.
Numerische Mathematik, 2008

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

Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems.
SIAM J. Numer. Anal., 2002

The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements.
Numerische Mathematik, 2001