DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, K | ko |
dc.contributor.author | Lee, Sungyun | ko |
dc.date.accessioned | 2013-03-03T20:49:26Z | - |
dc.date.available | 2013-03-03T20:49:26Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2001-04 | - |
dc.identifier.citation | APPLIED MATHEMATICS LETTERS, v.14, no.3, pp.321 - 326 | - |
dc.identifier.issn | 0893-9659 | - |
dc.identifier.uri | http://hdl.handle.net/10203/80391 | - |
dc.description.abstract | The 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.language | English | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.title | Stable finite element methods with divergence augmentation for the Stokes problem? | - |
dc.type | Article | - |
dc.identifier.wosid | 000167024200011 | - |
dc.identifier.scopusid | 2-s2.0-0347156562 | - |
dc.type.rims | ART | - |
dc.citation.volume | 14 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 321 | - |
dc.citation.endingpage | 326 | - |
dc.citation.publicationname | APPLIED MATHEMATICS LETTERS | - |
dc.contributor.localauthor | Lee, Sungyun | - |
dc.contributor.nonIdAuthor | Kim, K | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | mixed finite element method | - |
dc.subject.keywordAuthor | stabilization | - |
dc.subject.keywordAuthor | Stokes problem | - |
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