Composite Finite Elements and Multigrid
Stefan Sauter
Mathematisch-Naturwissenschaftliche Fakultät,
Arbeitsgruppe Numerische Mathematik,
Winterthurerstr. 190,
CH-8057 Zürich
Abstract
Composite Finite Elements allow the discretisation of
elliptic PDEs on complicated domains, where the minimal
number of unknowns is independent of the possibly
very complicated shape of the domain.
They can be used in the context of multigrid methods
to solve high-dimensional finite element discretisations
on very complicated domains.
We will prove for some model problems that the convergence
of the composite finite element multigrid method is
robust with respect to the size and number of
geometric details.