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A nonconforming covolume method for elliptic problems
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hyon, Yun K. | - |
| dc.contributor.author | Jang, Ho J. | - |
| dc.contributor.author | Kwak, Do Y. | - |
| dc.date.accessioned | 2022-10-07T10:41:20Z | - |
| dc.date.available | 2022-10-07T10:41:20Z | - |
| dc.date.issued | 2008-02 | - |
| dc.identifier.issn | 0096-3003 | - |
| dc.identifier.issn | 1873-5649 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/172153 | - |
| dc.description.abstract | We consider a control volume (covolume) method for second-order elliptic PDEs with the rotated-Q(1) nonconforming finite element on rectangular grids. The coefficient K may a variable, diagonal tensor, or discontinuous. We prove first-order convergence in H-1 norm and second order convergence in L-2 norm when the partition is square. Our numerical experiments show that our covolume scheme has about 30% less error than FEM even when K is discontinuous tensor. | - |
| dc.format.extent | 7 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | Elsevier BV | - |
| dc.title | A nonconforming covolume method for elliptic problems | - |
| dc.type | Article | - |
| dc.publisher.location | 미국 | - |
| dc.identifier.doi | 10.1016/j.amc.2007.05.036 | - |
| dc.identifier.scopusid | 2-s2.0-38049077869 | - |
| dc.identifier.wosid | 000253283100007 | - |
| dc.identifier.bibliographicCitation | Applied Mathematics and Computation, v.196, no.1, pp 60 - 66 | - |
| dc.citation.title | Applied Mathematics and Computation | - |
| dc.citation.volume | 196 | - |
| dc.citation.number | 1 | - |
| dc.citation.startPage | 60 | - |
| dc.citation.endPage | 66 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.subject.keywordPlus | GENERALIZED STOKES PROBLEM | - |
| dc.subject.keywordPlus | RECTANGULAR GRIDS | - |
| dc.subject.keywordPlus | EQUATIONS | - |
| dc.subject.keywordAuthor | covolume method | - |
| dc.subject.keywordAuthor | rotated bilinear finite element method | - |
| dc.subject.keywordAuthor | duality | - |
| dc.subject.keywordAuthor | optimal order | - |
| dc.identifier.url | https://linkinghub.elsevier.com/retrieve/pii/S0096300307006443 | - |
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