93 citations · 208 across the 38 of their papers we have counts for
42 papers
Goal-oriented space-time adaptivity for the Navier--Stokes equations based on the dual weighted residual method
Marius Paul Bruchhäuser, Nils Margenberg, Markus Bause
This work presents a goal-oriented a posteriori error estimator based on the Dual Weighted Residual (DWR) method together with space-time mesh adaptivity for the Navier--Stokes equ…
Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations
Moataz Dawor, Nils Margenberg, Markus Bause
Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational…
A Monolithic hp Space-Time Multigrid Preconditioned Newton-Krylov Solver for Space-Time FEM applied to the Incompressible Navier-Stokes Equations
Nils Margenberg, Markus Bause
We present a monolithic hp space-time multigrid method (hp-STMG) for tensor-product space-time finite element discretizations of the incompressible Navier-Stokes equations. We empl…
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…