Semi-Coarsening in Space and Time for the Hierarchical Transformation Multigrid Method

Benjamin Peherstorfer, Hans-Joachim Bungartz
2012 Procedia Computer Science  
We extend the hierarchical transformation multigrid (HT-MG) method with semi-coarsening in space and time in order to tackle anisotropic problems. Semi-coarsening allows us to smooth on anisotropic grids and, thus to employ more advanced multigrid cycles, e.g. the so-called Q-cycle. Our numerical examples show that we can tackle anisotropic problems with the HT-MG method and the Q-cycle. We do not only apply the multigrid method in space directions but also in time directions where the Q-cycle
more » ... s beneficial again. Let Ω ∈ R d be a domain with boundary ∂Ω = Γ. We consider the linear boundary value problem
doi:10.1016/j.procs.2012.04.221 fatcat:nokb5ltawnevrl7z7e2mqa5fhm