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Overlapping additive Schwarz preconditioners for boundary element methods

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Tran, T

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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.

dc.contributor.authorTran, T
dc.date.accessioned2015-12-13T23:17:50Z
dc.date.available2015-12-13T23:17:50Z
dc.identifier.issn0897-3962
dc.identifier.urihttp://hdl.handle.net/1885/89891
dc.description.abstractWe 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.
dc.publisherRocky Mountain Mathematics Consortium
dc.sourceJournal of Integral Equations and Applications
dc.subjectKeywords: Additive Schwarz; Galerkin boundary element method; H version; Overlapping; P version; Preconditioned conjugate gradient
dc.titleOverlapping additive Schwarz preconditioners for boundary element methods
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume12
dc.date.issued2000
local.identifier.absfor010301 - Numerical Analysis
local.identifier.ariespublicationMigratedxPub20125
local.type.statusPublished Version
local.contributor.affiliationTran, T, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage177
local.bibliographicCitation.lastpage207
local.identifier.doi10.1216/jiea/1020282169
dc.date.updated2015-12-12T08:54:36Z
local.identifier.scopusID2-s2.0-0004303257
CollectionsANU Research Publications

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