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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…
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…
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…