Contributions to Books:
M. Feischl, T. Führer, D. Praetorius, E. Stephan:
"Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements";
in: "ASC Report 36/2013",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
We analyze a multilevel diagonal additive Schwarz preconditioner for the adaptive coupling of FEM and BEM for a linear 2D Laplace transmission problem. We rigorously prove that the condition number of the preconditioned system stays uniformly bounded, independently
of the refinement level and the local mesh-size of the underlying adaptively refined triangulations. Although the focus is on the non-symmetric Johnson-NŽedŽelec one equation coupling, the principle ideas also apply to other formulations like the symmetric
FEM-BEM coupling. Numerical experiments underline our theoretical findings.
FEM-BEM coupling, preconditioner, multilevel additive Schwarz, adaptivity.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.