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. IMA Journal of Numerical Analysis. ISSN 1464-3642
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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.
|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
|Deposited By:||Dr. Timo Betcke|
|Deposited On:||30 October 2006|
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