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

Betcke, Timo (2006) A GSVD formulation of a domain decomposition method for planar eigenvalue problems. [MIMS Preprint]

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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 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User:	Dr. Timo Betcke
Date Deposited:	14 Sep 2006
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/595

Available Versions of this Item

• A GSVD formulation of a domain decomposition method for planar eigenvalue problems. (deposited 14 Sep 2006) [Currently Displayed]
  • A GSVD formulation of a domain decomposition method for planar eigenvalue problems. (deposited 30 Oct 2006)

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