Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems

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dc.contributor.authorChou, SHko
dc.contributor.authorKwak, Do Youngko
dc.contributor.authorVassilevski, PSko
dc.date.accessioned2013-03-02T21:15:38Z-
dc.date.available2013-03-02T21:15:38Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1999-09-
dc.identifier.citationSIAM JOURNAL ON SCIENTIFIC COMPUTING, v.21, no.1, pp.145 - 165-
dc.identifier.issn1064-8275-
dc.identifier.urihttp://hdl.handle.net/10203/75547-
dc.description.abstractWe consider an upwinding covolume or control-volume method for a system of first order PDEs resulting from the mixed formulation of a convection-diffusion equation with a variable anisotropic diffusion tensor. The system can be used to model the steady state of the transport of a contaminant carried by a flow. We use the lowest order Raviart-Thomas space and show that the concentration and concentration flux both converge at one-half order provided that the exact flux is in H-1(Omega)(2) and the exact concentration is in H-1(Omega). Some numerical experiments illustrating the error behavior of the scheme are provided.-
dc.languageEnglish-
dc.publisherSIAM PUBLICATIONS-
dc.subjectGENERALIZED STOKES PROBLEM-
dc.subjectFACTORIZATION METHODS-
dc.subjectITERATIVE METHODS-
dc.subjectELLIPTIC PROBLEMS-
dc.subjectBLOCK-
dc.subjectPERFORMANCE-
dc.subjectMATRICES-
dc.titleMixed upwinding covolume methods on rectangular grids for convection-diffusion problems-
dc.typeArticle-
dc.identifier.wosid000082830800008-
dc.identifier.scopusid2-s2.0-0033295134-
dc.type.rimsART-
dc.citation.volume21-
dc.citation.issue1-
dc.citation.beginningpage145-
dc.citation.endingpage165-
dc.citation.publicationnameSIAM JOURNAL ON SCIENTIFIC COMPUTING-
dc.contributor.localauthorKwak, Do Young-
dc.contributor.nonIdAuthorChou, SH-
dc.contributor.nonIdAuthorVassilevski, PS-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorstationary convection-diffusion problems-
dc.subject.keywordAuthormixed finite elements-
dc.subject.keywordAuthorcovolume methods-
dc.subject.keywordAuthorfinite volume methods-
dc.subject.keywordAuthorupwind discretization-
dc.subject.keywordAuthorerror estimates-
dc.subject.keywordAuthorpreconditioning-
dc.subject.keywordAuthorM-matrices-
dc.subject.keywordPlusGENERALIZED STOKES PROBLEM-
dc.subject.keywordPlusFACTORIZATION METHODS-
dc.subject.keywordPlusITERATIVE METHODS-
dc.subject.keywordPlusELLIPTIC PROBLEMS-
dc.subject.keywordPlusBLOCK-
dc.subject.keywordPlusPERFORMANCE-
dc.subject.keywordPlusMATRICES-
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