Enriched P-1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions

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dc.contributor.authorJo, Gwanghyunko
dc.contributor.authorKwak, Do Youngko
dc.date.accessioned2018-06-16T07:36:43Z-
dc.date.available2018-06-16T07:36:43Z-
dc.date.created2018-06-11-
dc.date.created2018-06-11-
dc.date.created2018-06-11-
dc.date.created2018-06-11-
dc.date.issued2018-06-
dc.identifier.citationADVANCES IN MATHEMATICAL PHYSICS-
dc.identifier.issn1687-9120-
dc.identifier.urihttp://hdl.handle.net/10203/242529-
dc.description.abstractWe develop a numerical method for elliptic interface problems with implicit jumps. To handle the discontinuity, we enrich usual P-1-conforming finite element space by adding extra degrees of freedom on one side of the interface. Next, we define a new bilinear form, which incorporates the implicit jump conditions. We show that the bilinear form is coercive and bounded if the penalty term is sufficiently large. We prove the optimal error estimates in both energy-like norm and L-2-norm. We provide numerical experiments. We observe that our scheme converges with optimal rates, which coincides with our error analysis.-
dc.languageEnglish-
dc.publisherHINDAWI LTD-
dc.titleEnriched P-1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions-
dc.typeArticle-
dc.identifier.wosid000432818700001-
dc.identifier.scopusid2-s2.0-85047637751-
dc.type.rimsART-
dc.citation.publicationnameADVANCES IN MATHEMATICAL PHYSICS-
dc.identifier.doi10.1155/2018/9891281-
dc.contributor.localauthorKwak, Do Young-
dc.description.isOpenAccessY-
dc.type.journalArticleArticle-
dc.subject.keywordPlusFINITE-ELEMENT-METHOD-
dc.subject.keywordPlusDISCONTINUOUS COEFFICIENTS-
dc.subject.keywordPlusEQUATIONS-
dc.subject.keywordPlusSINGULARITIES-
dc.subject.keywordPlusELASTICITY-
dc.subject.keywordPlusFINITE-ELEMENT-METHOD-
dc.subject.keywordPlusDISCONTINUOUS COEFFICIENTS-
dc.subject.keywordPlusEQUATIONS-
dc.subject.keywordPlusSINGULARITIES-
dc.subject.keywordPlusELASTICITY-
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MA-Journal Papers(저널논문)
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