DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jo, Gwanghyun | ko |
dc.contributor.author | Kwak, Do Young | ko |
dc.date.accessioned | 2023-03-13T07:00:14Z | - |
dc.date.available | 2023-03-13T07:00:14Z | - |
dc.date.created | 2023-03-13 | - |
dc.date.issued | 2023 | - |
dc.identifier.citation | AIMS MATHEMATICS, v.8, no.4, pp.8034 - 8059 | - |
dc.identifier.issn | 2473-6988 | - |
dc.identifier.uri | http://hdl.handle.net/10203/305592 | - |
dc.description.abstract | In this work, we develop two IFEMs for convection-diffusion equations with interfaces. We first define bilinear forms by adding judiciously defined convection-related line integrals. By establishing Garding's inequality, we prove the optimal error estimates both in L2 and H1-norms. The second method is devoted to the convection-dominated case, where test functions are piecewise constant functions on vertex-associated control volumes. We accompany the so-called upwinding concepts to make the control-volume based IFEM robust to the magnitude of convection terms. The H1 optimal error estimate is proven for control-volume based IFEM. We document numerical experiments which confirm the analysis. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | Immersed finite element methods for convection diffusion equations | - |
dc.type | Article | - |
dc.identifier.wosid | 000930508000016 | - |
dc.identifier.scopusid | 2-s2.0-85147712559 | - |
dc.type.rims | ART | - |
dc.citation.volume | 8 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 8034 | - |
dc.citation.endingpage | 8059 | - |
dc.citation.publicationname | AIMS MATHEMATICS | - |
dc.identifier.doi | 10.3934/math.2023407 | - |
dc.contributor.localauthor | Kwak, Do Young | - |
dc.contributor.nonIdAuthor | Jo, Gwanghyun | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | immersed finite element method | - |
dc.subject.keywordAuthor | convection-diffusion problem | - |
dc.subject.keywordAuthor | interface problem | - |
dc.subject.keywordAuthor | control volume | - |
dc.subject.keywordAuthor | upwinding scheme | - |
dc.subject.keywordPlus | INTERFACE PROBLEMS | - |
dc.subject.keywordPlus | 2-PHASE FLOW | - |
dc.subject.keywordPlus | POROUS-MEDIA | - |
dc.subject.keywordPlus | APPROXIMATION | - |
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