M. Huber, A. Pechstein, J. Schöberl:

"Hybrid Domain Decomposition Solvers for Scalar and Vectorial Wave Equation";

in: "Asc Report 15/2011", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2011, ISBN: 978-3-902627-04-9.

We present hybrid finite element methods, which are equivalent to a

discontinuous Galerkin method based on the ultra weak variational formu-

lation (UWVF) by Cessenat and Despres. When solving a scalar or vectorial

wave equation with hybrid finite elements, normal and tangential continu-

ity of the flux field, respectively, is broken across element interfaces and

reinforced again by introducing hybrid variables, which are supported only

on the element facets. Using this technique, coupling between degrees of

freedom belonging to the interior of different elements is avoided, and the

large number of volume unknowns on the element can be eliminated easily.

Consequently, the linear system of equations needs only to be solved for the

introduced facet degrees of freedom. It is shown by numerical experiments,

that iterative solvers using Schwarz preconditioners show good convergence

properties for these systems of equations.

http://www.asc.tuwien.ac.at/preprint/2011/asc15x2011.pdf

Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.