43 citations · 156 across the 21 of their papers we have counts for
22 papers
Error estimates for completely discrete FEM in energy-type and weaker norms
Lutz Angermann, Peter Knabner, Andreas Rupp
The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion-convection-reaction equations and b…
Local existence of strong solutions to micro-macro models for reactive transport in evolving porous media
Stephan Gärttner, Peter Knabner, Nadja Ray
Two-scale models pose a promising approach in simulating reactive flow and transport in evolving porous media. Classically, homogenized flow and transport equations are solved on t…
Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach
Stefan Metzger, Peter Knabner
We extend the two-scale expansion approach of periodic homogenization to include time scales and thus can tackle the full instationary Navier-Stokes-Cahn-Hilliard model at the pore…
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
Cristian D. Alecsa, Imre Boros, Florian Frank +5
This article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in heterogeneous aquifers. F…
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
Andreas Rupp, Vadym Aizinger, Balthasar Reuter +1
We formulate a coupled surface/subsurface flow model that relies on hydrostatic equations with free surface in the free flow domain and on the Darcy model in the subsurface part. T…
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface
Balthasar Reuter, Andreas Rupp, Vadym Aizinger +2
This is the fourth installment in our series on implementing the discontinuous Galerkin (DG) method as an open source MATLAB /GNU Octave toolbox. Similarly to its predecessors, thi…