Immersed Finite Element Method for Eigenvalue Problems in Elasticity

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dc.contributor.authorLee, Seungwooko
dc.contributor.authorKwak, Do Youngko
dc.contributor.authorSim, Imboko
dc.date.accessioned2018-05-23T06:43:49Z-
dc.date.available2018-05-23T06:43:49Z-
dc.date.created2018-04-30-
dc.date.created2018-04-30-
dc.date.issued2018-04-
dc.identifier.citationADVANCES IN APPLIED MATHEMATICS AND MECHANICS, v.10, no.2, pp.424 - 444-
dc.identifier.issn2070-0733-
dc.identifier.urihttp://hdl.handle.net/10203/241565-
dc.description.abstractWe consider the approximation of eigenvalue problems for elasticity equations with interface. This kind of problems can be efficiently discretized by using immersed finite element method (IFEM) based on Crouzeix-Raviart P1-nonconforming element. The stability and the optimal convergence of IFEM for solving eigenvalue problems with interface are proved by adopting spectral analysis methods for the classical eigenvalue problem. Numerical experiments demonstrate our theoretical results.-
dc.languageEnglish-
dc.publisherGLOBAL SCIENCE PRESS-
dc.subjectDISCONTINUOUS GALERKIN APPROXIMATION-
dc.subjectINTERFACE PROBLEMS-
dc.subjectSPECTRAL APPROXIMATION-
dc.subjectCRACK-GROWTH-
dc.subjectLOWER BOUNDS-
dc.subjectDOMAINS-
dc.subjectEIGENPROBLEM-
dc.subjectFORMULATION-
dc.subjectSIMULATION-
dc.subjectBOUNDARIES-
dc.titleImmersed Finite Element Method for Eigenvalue Problems in Elasticity-
dc.typeArticle-
dc.identifier.wosid000430200400009-
dc.type.rimsART-
dc.citation.volume10-
dc.citation.issue2-
dc.citation.beginningpage424-
dc.citation.endingpage444-
dc.citation.publicationnameADVANCES IN APPLIED MATHEMATICS AND MECHANICS-
dc.identifier.doi10.4208/aamm.OA-2016-0189-
dc.contributor.localauthorKwak, Do Young-
dc.contributor.nonIdAuthorSim, Imbo-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorImmersed finite element-
dc.subject.keywordAuthorelasticity problem-
dc.subject.keywordAuthoreigenvalue-
dc.subject.keywordPlusDISCONTINUOUS GALERKIN APPROXIMATION-
dc.subject.keywordPlusINTERFACE PROBLEMS-
dc.subject.keywordPlusSPECTRAL APPROXIMATION-
dc.subject.keywordPlusCRACK-GROWTH-
dc.subject.keywordPlusLOWER BOUNDS-
dc.subject.keywordPlusDOMAINS-
dc.subject.keywordPlusEIGENPROBLEM-
dc.subject.keywordPlusFORMULATION-
dc.subject.keywordPlusSIMULATION-
dc.subject.keywordPlusBOUNDARIES-
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