DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim K.Y. | ko |
dc.date.accessioned | 2013-03-06T15:15:57Z | - |
dc.date.available | 2013-03-06T15:15:57Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | NUMERISCHE MATHEMATIK, v.101, no.1, pp.121 - 142 | - |
dc.identifier.issn | 0029-599X | - |
dc.identifier.uri | http://hdl.handle.net/10203/87385 | - |
dc.description.abstract | In this work we propose and analyze a mixed finite volume method for the p-Laplacian problem which is based on the lowest order Raviart-Thomas element for the vector variable and the P1 nonconforming element for the scalar variable. It is shown that this method can be reduced to a P1 nonconforming finite element method for the scalar variable only. One can then recover the vector approximation from the computed scalar approximation in a virtually cost-free manner. Optimal a priori error estimates are proved for both approximations by the quasi-norm techniques. We also derive an implicit error estimator of Bank-Weiser type which is based on the local Neumann problems. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.subject | ELEMENT APPROXIMATION | - |
dc.subject | NONCONFORMING APPROXIMATION | - |
dc.subject | ELLIPTIC-EQUATIONS | - |
dc.subject | BOUNDS | - |
dc.title | Error estimates for a mixed finite volume method for the p-Laplacian problem | - |
dc.type | Article | - |
dc.identifier.wosid | 000230347000006 | - |
dc.identifier.scopusid | 2-s2.0-22344456519 | - |
dc.type.rims | ART | - |
dc.citation.volume | 101 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 121 | - |
dc.citation.endingpage | 142 | - |
dc.citation.publicationname | NUMERISCHE MATHEMATIK | - |
dc.identifier.doi | 10.1007/s00211-005-0610-9 | - |
dc.contributor.localauthor | Kim K.Y. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | ELEMENT APPROXIMATION | - |
dc.subject.keywordPlus | NONCONFORMING APPROXIMATION | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | BOUNDS | - |
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