93 citations · 114 across the 8 of their papers we have counts for
9 papers
On the implementation of an adaptive multirate framework for coupled transport and flow
Marius Paul Bruchhäuser, Uwe Köcher, Markus Bause
In this work, a multirate in time approach resolving the different time scales of a convection-dominated transport and coupled fluid flow is developed and studied in view of goal-o…
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems
Markus Bause, Mathias Anselmann, Uwe Köcher +1
We study the numerical approximation by space-time finite element methods of a multi-physics system coupling hyperbolic elastodynamics with parabolic transport and modeling poro- a…
A mixed discontinuous-continuous Galerkin time discretisation for Biot's system
Uwe Köcher, Markus Bause
We study higher-order space-time variational discretisations for modeling complex processes in porous media that include fluid and structure interactions which are of fundamental i…
Post-processed Galerkin approximation of improved order for wave equations
Markus Bause, Uwe Köcher, Florin A. Radu +1
We introduce and analyze a post-processing for a family of variational space-time approximations to wave problems. The discretization in space and time is based on continuous finit…
Numerical investigation on the fixed-stress splitting scheme for Biot's equations: Optimality of the tuning parameter
Jakub Wiktor Both, Uwe Köcher
We study the numerical solution of the quasi-static linear Biot's equations solved iteratively by the fixed-stress splitting scheme. In each iteration the mechanical and flow probl…
Space-Time-Parallel Poroelasticity Simulation
Uwe Köcher
The accurate, reliable and efficient numerical approximation of multi-physics processes in heterogeneous porous media with varying media coefficients that include fluid flow and st…
Influence of the SIPG penalisation on the numerical properties of linear systems for elastic wave propagation
Uwe Köcher
Interior penalty discontinuous Galerkin discretisations (IPDG) and especially the symmetric variant (SIPG) for time-domain wave propagation problems are broadly accepted and widely…
Space-time finite element approximation of the Biot poroelasticity system with iterative coupling
M. Bause, F. A. Radu, U. Köcher
In this work we analyze an optimized artificial fixed-stress iteration scheme for the numerical approximation of the Biot system modelling fluid flow in deformable porous media. Th…
Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space
Markus Bause, Florin A. Radu, Uwe Köcher
Variational time discretization schemes are getting of increasing importance for the accurate numerical approximation of transient phenomena. The applicability and value of mixed f…