Mixed finite element methods for general quadrilateral grids

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dc.contributor.authorKwak, Do Youngko
dc.contributor.authorPyo, Hyun Chanko
dc.date.accessioned2013-03-11T08:06:11Z-
dc.date.available2013-03-11T08:06:11Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2011-03-
dc.identifier.citationAPPLIED MATHEMATICS AND COMPUTATION, v.217, no.14, pp.6556 - 6565-
dc.identifier.issn0096-3003-
dc.identifier.urihttp://hdl.handle.net/10203/98730-
dc.description.abstractWe study a new mixed finite element of lowest order for general quadrilateral grids which gives optimal order error in the H(div)-norm. This new element is designed so that the H(div)-projection Pi(h) satisfies del . Pi(h) = P(h)div. A rigorous optimal order error estimate is carried out by proving a modified version of the Bramble-Hilbert lemma for vector variables. We show that a local H(div)-projection reproducing certain polynomials suffices to yield an optimal L(2)-error estimate for the velocity and hence our approach also provides an improved error estimate for original Raviart-Thomas element of lowest order. Numerical experiments are presented to verify our theory. (C) 2011 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE INC-
dc.titleMixed finite element methods for general quadrilateral grids-
dc.typeArticle-
dc.identifier.wosid000287691300010-
dc.identifier.scopusid2-s2.0-79951963205-
dc.type.rimsART-
dc.citation.volume217-
dc.citation.issue14-
dc.citation.beginningpage6556-
dc.citation.endingpage6565-
dc.citation.publicationnameAPPLIED MATHEMATICS AND COMPUTATION-
dc.identifier.doi10.1016/j.amc.2011.01.036-
dc.contributor.localauthorKwak, Do Young-
dc.contributor.nonIdAuthorPyo, Hyun Chan-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorMixed finite element-
dc.subject.keywordAuthorRaviart-Thomas element-
dc.subject.keywordAuthorQuadrilateral grids-
dc.subject.keywordPlusORDER ELLIPTIC PROBLEMS-
dc.subject.keywordPlusCOVOLUME METHOD-
dc.subject.keywordPlusVOLUME METHODS-
dc.subject.keywordPlusSUPERCONVERGENCE-
dc.subject.keywordPlusAPPROXIMATIONS-
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