A parallel space-time multigrid solver for the Navier-Stokes equations

Dr. Martin Neumüller

March 25, 2014, 3:30 p.m. S2 059

For evolution equations we present a space-time method based on Discontinuous
Galerkin finite elements. Space-time methods have advantages if
we have to deal with moving domains and if we need to do local refinement
in the space-time domain. For this method we present a multigrid approach
based on space-time slabs. This method allows the use of parallel solution
algorithms. In particular it is possible to solve parallel in time and space.
Furthermore this multigrid approach leads to a robust method with respect
to the polynomial degree which is used for the DG time stepping scheme.
Numerical examples for the Stokes and Navier-Stokes equations will be given
which show the performance of this space-time multigrid approach.