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Overlapping additive Schwarz preconditioners for boundary element methods

Tran, T


We study overlapping additive Schwarz preconditioners for the Galerkin boundary element method when used to solve Neumann problems for the Laplacian. Both the h and p versions of the Galerkin scheme are considered. We prove that the condition number of the additive Schwarz operator is bounded by O(1 + log2(H/δ)) for the h version, where H is the size of the coarse mesh and d is the size of the overlap, and bounded independently of the mesh size and the polynomial order for the p version.

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Journal of Integral Equations and Applications
DOI: 10.1216/jiea/1020282169


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