5 papers · 1 filter
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations
Nils Margenberg, Markus Bause, Peter Munch
We present a monolithic space-time multigrid method for tensor-product space-time finite element discretizations of the Stokes equations. Geometric and polynomial coarsening o…
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer +3
In this work, we present an anisotropic multi-goal error control based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations.…
Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing
Mathias Anselmann, Markus Bause, Gunar Matthies +1
We provide an error analysis for the solution of the nonstationary Stokes problem by a variational method in space and time. We use finite elements of higher order for the approxim…
Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations
M. Bause, M. Bruchhäuser, B. Endtmayer +3
We present an anisotropic goal-oriented error estimator based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations. Using ani…
Convergence of a continuous Galerkin method for the Biot-Allard poroelasticity system
Jakob S. Stokke, Markus Bause, Florin A. Radu
We study a space-time finite element method for a system of poromechanics with memory effects that are modeled by a convolution integral. In the literature, the system is referred…