DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwak, Do Young | ko |
dc.contributor.author | Pyo, Hyun Chan | ko |
dc.date.accessioned | 2013-03-11T08:06:11Z | - |
dc.date.available | 2013-03-11T08:06:11Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011-03 | - |
dc.identifier.citation | APPLIED MATHEMATICS AND COMPUTATION, v.217, no.14, pp.6556 - 6565 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98730 | - |
dc.description.abstract | We 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.language | English | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.title | Mixed finite element methods for general quadrilateral grids | - |
dc.type | Article | - |
dc.identifier.wosid | 000287691300010 | - |
dc.identifier.scopusid | 2-s2.0-79951963205 | - |
dc.type.rims | ART | - |
dc.citation.volume | 217 | - |
dc.citation.issue | 14 | - |
dc.citation.beginningpage | 6556 | - |
dc.citation.endingpage | 6565 | - |
dc.citation.publicationname | APPLIED MATHEMATICS AND COMPUTATION | - |
dc.identifier.doi | 10.1016/j.amc.2011.01.036 | - |
dc.contributor.localauthor | Kwak, Do Young | - |
dc.contributor.nonIdAuthor | Pyo, Hyun Chan | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Mixed finite element | - |
dc.subject.keywordAuthor | Raviart-Thomas element | - |
dc.subject.keywordAuthor | Quadrilateral grids | - |
dc.subject.keywordPlus | ORDER ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | COVOLUME METHOD | - |
dc.subject.keywordPlus | VOLUME METHODS | - |
dc.subject.keywordPlus | SUPERCONVERGENCE | - |
dc.subject.keywordPlus | APPROXIMATIONS | - |
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