Stable finite element methods with divergence augmentation for the Stokes problem?

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dc.contributor.authorKim, Kko
dc.contributor.authorLee, Sungyunko
dc.date.accessioned2013-03-03T20:49:26Z-
dc.date.available2013-03-03T20:49:26Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2001-04-
dc.identifier.citationAPPLIED MATHEMATICS LETTERS, v.14, no.3, pp.321 - 326-
dc.identifier.issn0893-9659-
dc.identifier.urihttp://hdl.handle.net/10203/80391-
dc.description.abstractThe mixed finite element approximation scheme with divergence augmentation for the Stokes problem is analyzed. We show that the Pk+1 - Pk-1 triangular elements or the Q(k+1) - Q(k-1) quadrilateral elements in R-2, k greater than or equal to 1, are stable with h(k+1/2) convergence in H-1-norm for velocity and h(k) convergence in L-2-norm for pressure. Moreover, h(k+1) convergence in H(div)-norm for velocity can be shown if the domain is convex. In R-3, the cross-grid Pk+1 - Pk-1 tetrahedral elements, k greater than or equal to 2, can be analyzed analogously for the approximation scheme with divergence augmentation and pressure stabilization. A numerical test which confirms the convergence analysis is presented. (C) 2001 Elsevier Science Ltd. All rights reserved.-
dc.languageEnglish-
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD-
dc.titleStable finite element methods with divergence augmentation for the Stokes problem?-
dc.typeArticle-
dc.identifier.wosid000167024200011-
dc.identifier.scopusid2-s2.0-0347156562-
dc.type.rimsART-
dc.citation.volume14-
dc.citation.issue3-
dc.citation.beginningpage321-
dc.citation.endingpage326-
dc.citation.publicationnameAPPLIED MATHEMATICS LETTERS-
dc.contributor.localauthorLee, Sungyun-
dc.contributor.nonIdAuthorKim, K-
dc.type.journalArticleArticle-
dc.subject.keywordAuthormixed finite element method-
dc.subject.keywordAuthorstabilization-
dc.subject.keywordAuthorStokes problem-
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