22 citations · 23 across the 4 of their papers we have counts for
6 papers · 1 filter
Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations
Mathias Anselmann, Markus Bause
Numerical simulation of incompressible viscous flow, in particular in three space dimensions, continues to remain a challenging task. Space-time finite element methods feature the…
-conforming variational discretization of the biharmonic wave equation
Markus Bause, Maria Lymbery, Kevin Osthues
Biharmonic wave equations are of importance to various applications including thin plate analyses. In this work, the numerical approximation of their solutions by a -conformin…
Numerical convergence of discrete extensions in a space-time finite element, fictitious domain method for the Navier-Stokes equations
Mathias Anselmann, Markus Bause
A key ingredient of our fictitious domain, higher order space-time cut finite element (CutFEM) approach for solving the incompressible Navier--Stokes equations on evolving domains…
Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow
Markus Bause, Marius Paul Bruchhäuser, Uwe Köcher
In this work, a flexible higher-order space-time adaptive finite element approximation of convection-dominated transport with coupled fluid flow is developed and studied. Convectio…
Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations
Mathias Anselmann, Markus Bause
We propose and study numerically the implicit approximation in time of the Navier-Stokes equations by a Galerkin-collocation method in time combined with inf-sup stable finite elem…
Galerkin-collocation approximation in time for the wave equation and its post-processing
Mathias Anselmann, Markus Bause, Simon Becher +1
We introduce and analyze a class of Galerkin-collocation discretization schemes in time for the wave equation. Its conceptual basis is the establishment of a direct connection betw…