Orateur
Soheil HAJIAN
(Université de Genève)
Description
Domain decomposition preconditioners and in particular the additive
Schwarz method are favorite preconditioners for classical finite
element methods (FEM). There is a huge effort in designing similar
preconditioners for discontinuous Galerkin (DG) discretizations. It
has been shown that additive Schwarz methods use different mechanisms
for convergence when applied to a DG discretization compared to the
classical FEM. More precisely, additive Schwarz methods, when applied
to DG, use a non-overlapping Robin transmission condition for the
communication between subdomains. This is exactly the same
transmission condition that optimized Schwarz methods (OSM) use to
obtain fast convergence. In this poster we present an OSM
preconditioner for a particular DG discretization along with
theoretical convergence estimates.
Auteur principal
Soheil Hajian
(Université de Genève)
