L-P error estimates and superconvergence for covolume or finite volume element methods

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dc.contributor.authorChou, SHko
dc.contributor.authorKwak, Do Youngko
dc.contributor.authorLi, Oko
dc.date.accessioned2010-12-13T04:47:43Z-
dc.date.available2010-12-13T04:47:43Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2003-07-
dc.identifier.citationNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, v.19, no.4, pp.463 - 486-
dc.identifier.issn0749-159X-
dc.identifier.urihttp://hdl.handle.net/10203/20961-
dc.description.abstractWe consider convergence of the covolume or finite volume element solution to linear elliptic and parabolic problems. Error estimates and superconvergence results in the L-p norm, 2 less than or equal to p less than or equal to infinity, are derived. We also show second-order convergence in the L-p norm between the covolume and the corresponding finite element solutions and between their gradients. The main tools used in this article are an extension of the "supercloseness" results in Chou and Li [Math Comp 69(229) (2000), 103-120] to the L-p based spaces, duality arguments, and the discrete Green's function method. (C) 2003 Wiley Periodicals, Inc.-
dc.languageEnglish-
dc.language.isoen_USen
dc.publisherJOHN WILEY & SONS INC-
dc.subjectELLIPTIC PROBLEMS-
dc.subjectDIFFUSION-EQUATIONS-
dc.subjectSCHEMES-
dc.subjectCONVERGENCE-
dc.subjectGRIDS-
dc.titleL-P error estimates and superconvergence for covolume or finite volume element methods-
dc.typeArticle-
dc.identifier.wosid000183455300003-
dc.identifier.scopusid2-s2.0-0037934529-
dc.type.rimsART-
dc.citation.volume19-
dc.citation.issue4-
dc.citation.beginningpage463-
dc.citation.endingpage486-
dc.citation.publicationnameNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorKwak, Do Young-
dc.contributor.nonIdAuthorChou, SH-
dc.contributor.nonIdAuthorLi, O-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorerror estimates-
dc.subject.keywordAuthorcovolume methods-
dc.subject.keywordAuthorfinite volume methods-
dc.subject.keywordAuthorsuperconvergence-
dc.subject.keywordAuthornetwork methods-
dc.subject.keywordAuthorfinite volume element-
dc.subject.keywordPlusELLIPTIC PROBLEMS-
dc.subject.keywordPlusDIFFUSION-EQUATIONS-
dc.subject.keywordPlusSCHEMES-
dc.subject.keywordPlusCONVERGENCE-
dc.subject.keywordPlusGRIDS-
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