DC FieldValueLanguage
dc.contributor.authorLe Borne, Sabine-
dc.contributor.authorOvall, Jeffrey S.-
dc.date.accessioned2020-02-18T09:29:59Z-
dc.date.available2020-02-18T09:29:59Z-
dc.date.issued2012-05-08-
dc.identifier.citationNumerical Linear Algebra with Applications 5 (20): 743-760 (2013)de_DE
dc.identifier.issn1099-1506de_DE
dc.identifier.urihttp://hdl.handle.net/11420/4951-
dc.description.abstractWe consider a two-level block Gauss-Seidel iteration for solving systems arising from finite element discretizations employing higher-order elements. A p-hierarchical basis is used to induce this block structure. Using superconvergence results normally employed in the analysis of gradient recovery schemes, we argue that a massive reduction of the H1-error occurs in the first iterate, so that the discrete solution is adequately resolved in very few iterates-sometimes a single iteration is sufficient. Numerical experiments on uniform and adapted meshes support these claims.en
dc.language.isoende_DE
dc.publisherWileyde_DE
dc.relation.ispartofNumerical linear algebra with applicationsde_DE
dc.subjectblock gauss-seidelde_DE
dc.subjecthierarchical basesde_DE
dc.subjecthierarchical matricesde_DE
dc.subjecthigher-order finite elementsde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleRapid error reduction for block Gauss-Seidel based on p-hierarchical basisde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishWe consider a two-level block Gauss-Seidel iteration for solving systems arising from finite element discretizations employing higher-order elements. A p-hierarchical basis is used to induce this block structure. Using superconvergence results normally employed in the analysis of gradient recovery schemes, we argue that a massive reduction of the H1-error occurs in the first iterate, so that the discrete solution is adequately resolved in very few iterates-sometimes a single iteration is sufficient. Numerical experiments on uniform and adapted meshes support these claims.de_DE
tuhh.publisher.doi10.1002/nla.1841-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue5de_DE
tuhh.container.volume20de_DE
tuhh.container.startpage743de_DE
tuhh.container.endpage760de_DE
local.status.inpressfalsede_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.creatorGNDLe Borne, Sabine-
item.creatorGNDOvall, Jeffrey S.-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.creatorOrcidLe Borne, Sabine-
item.creatorOrcidOvall, Jeffrey S.-
item.languageiso639-1en-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0002-4399-4442-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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