A FETI-DP FORMULATION FOR THE THREE-DIMENSIONAL STOKES PROBLEM WITHOUT PRIMAL PRESSURE UNKNOWNS

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dc.contributor.authorKim, Hyea Hyunko
dc.contributor.authorLee, Chang-Ockko
dc.date.accessioned2013-03-11T06:44:06Z-
dc.date.available2013-03-11T06:44:06Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-
dc.identifier.citationSIAM JOURNAL ON SCIENTIFIC COMPUTING, v.32, no.6, pp.3301 - 3322-
dc.identifier.issn1064-8275-
dc.identifier.urihttp://hdl.handle.net/10203/98550-
dc.description.abstractA FETI-DP (dual-primal finite element tearing and interconnecting) algorithm for the three-dimensional Stokes problem is developed and analyzed. This is an extension of the previous work for the two-dimensional problem in [H. H. Kim, C.-O. Lee, and E.-H. Park, SIAM J. Numer. Anal., 47 (2010), pp. 4142-4162]. Advantages of this approach are the coarse problem without primal pressure unknowns and the use of a computationally cheap lumped preconditioner. Especially in three dimensions, these advantages provide a more practical FETI-DP algorithm. In three dimensions, the velocity unknowns at subdomain corners and the averages of velocity unknowns over common faces are selected as the primal unknowns in the FETI-DP formulation. Its condition number bound is analyzed to be CH/h, where C is a positive constant which is independent of any mesh parameters and H/h is the number of elements across each subdomain. Numerical results are included.-
dc.languageEnglish-
dc.publisherSIAM PUBLICATIONS-
dc.titleA FETI-DP FORMULATION FOR THE THREE-DIMENSIONAL STOKES PROBLEM WITHOUT PRIMAL PRESSURE UNKNOWNS-
dc.typeArticle-
dc.identifier.wosid000285551800007-
dc.identifier.scopusid2-s2.0-79251523879-
dc.type.rimsART-
dc.citation.volume32-
dc.citation.issue6-
dc.citation.beginningpage3301-
dc.citation.endingpage3322-
dc.citation.publicationnameSIAM JOURNAL ON SCIENTIFIC COMPUTING-
dc.identifier.doi10.1137/090777335-
dc.contributor.localauthorLee, Chang-Ock-
dc.contributor.nonIdAuthorKim, Hyea Hyun-
dc.type.journalArticleArticle-
dc.subject.keywordAuthordual-primal finite element tearing and interconnecting-
dc.subject.keywordAuthorStokes problem-
dc.subject.keywordAuthorlumped preconditioner-
dc.subject.keywordPlusDOMAIN DECOMPOSITION METHOD-
dc.subject.keywordPlusENERGY MINIMIZATION-
dc.subject.keywordPlusLINEAR ELASTICITY-
dc.subject.keywordPlusMORTAR METHODS-
dc.subject.keywordPlusBDDC-
dc.subject.keywordPlusPRECONDITIONER-
dc.subject.keywordPlusCONVERGENCE-
dc.subject.keywordPlusCONSTRAINTS-
dc.subject.keywordPlusDIMENSIONS-
dc.subject.keywordPlusEQUATIONS-
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