An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems

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dc.identifier.uri http://dx.doi.org/10.15488/3103
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/3133
dc.contributor.author Tran, T.
dc.contributor.author Stephan, E.P.
dc.date.accessioned 2018-04-18T12:21:27Z
dc.date.available 2018-04-18T12:21:27Z
dc.date.issued 2004
dc.identifier.citation Tran, T.; Stephan, E.P.: An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems. In: Journal of Numerical Mathematics 12 (2004), Nr. 4, S. 311-330. DOI: https://doi.org/10.1163/1569395042571265
dc.description.abstract We study a two-level overlapping additive Schwarz preconditioner for the h-version of the Galerkin boundary element method when used to solve hypersingular integral equations of the first kind on an open surface in ℝ3. These integral equations result from Neumann problems for the Laplace and Lamé equations in the exterior of the surface. We prove that the condition number of the preconditioned system is bounded by O(1 + log2(H/δ)), where H denotes the diameter of the subdomains and δ the size of the overlap. eng
dc.language.iso eng
dc.publisher Berlin : De Gruyter
dc.relation.ispartofseries Journal of Numerical Mathematics 12 (2004), Nr. 4
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Additive Schwarz eng
dc.subject Galerkin boundary element method eng
dc.subject H version eng
dc.subject Overlapping, preconditioned conjugate gradient eng
dc.subject Approximation theory eng
dc.subject Boundary conditions eng
dc.subject Finite element method eng
dc.subject Galerkin methods eng
dc.subject Integral equations eng
dc.subject Laplace transforms eng
dc.subject Problem solving eng
dc.subject Set theory eng
dc.subject Additive Schwarz eng
dc.subject Galerkin boundary element method eng
dc.subject H version eng
dc.subject Overlapping eng
dc.subject Preconditioned conjugate gradient eng
dc.subject Boundary element method eng
dc.subject.ddc 510 | Mathematik ger
dc.title An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems eng
dc.type Article
dc.type Text
dc.relation.issn 1570-2820
dc.relation.doi https://doi.org/10.1163/1569395042571265
dc.bibliographicCitation.issue 4
dc.bibliographicCitation.volume 12
dc.bibliographicCitation.firstPage 311
dc.bibliographicCitation.lastPage 330
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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