A GSVD formulation of a domain decomposition method forplanar eigenvalue problems
Identifieur interne : 001300 ( Main/Exploration ); précédent : 001299; suivant : 001301A GSVD formulation of a domain decomposition method forplanar eigenvalue problems
Auteurs : Timo Betcke [Royaume-Uni]Source :
- IMA Journal of Numerical Analysis [ 0272-4979 ] ; 2006-10-27.
Abstract
In this article, we present a modification of the domain decomposition method of Descloux and Tolley for planar eigenvalue problems. Instead of formulating a generalized eigenvalue problem, our method is based on the generalized singular value decomposition. This approach is robust and at the same time highly accurate. Furthermore, we give an improved convergence analysis based on results from complex approximation theory. Several examples show the effectiveness of our method.
Url:
DOI: 10.1093/imanum/drl030
Affiliations:
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<front><div type="abstract">In this article, we present a modification of the domain decomposition method of Descloux and Tolley for planar eigenvalue problems. Instead of formulating a generalized eigenvalue problem, our method is based on the generalized singular value decomposition. This approach is robust and at the same time highly accurate. Furthermore, we give an improved convergence analysis based on results from complex approximation theory. Several examples show the effectiveness of our method.</div>
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