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2006.368: A GSVD formulation of a domain decomposition method for planar eigenvalue problems

2006.368: Timo Betcke (2006) A GSVD formulation of a domain decomposition method for planar eigenvalue problems.

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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.

Item Type:MIMS Preprint
Uncontrolled Keywords:eigenvalues, domain decomposition, generalized singular values, Method of Particular Solutions, conformal maps
Subjects:MSC 2000 > 35 Partial differential equations
MSC 2000 > 65 Numerical analysis
MIMS number:2006.368
Deposited By:Dr. Timo Betcke
Deposited On:14 September 2006

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