Enriched P1-conforming methods for elliptic interface problems with implicit jump conditions
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jo, Gwanghyun | - |
dc.contributor.author | Kwak, Do Y. | - |
dc.date.accessioned | 2023-09-11T01:34:53Z | - |
dc.date.available | 2023-09-11T01:34:53Z | - |
dc.date.issued | 2018-05 | - |
dc.identifier.issn | 1687-9120 | - |
dc.identifier.issn | 1687-9139 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/115202 | - |
dc.description.abstract | We develop a numerical method for elliptic interface problems with implicit jumps. To handle the discontinuity, we enrich usual P1-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 L2-norm. We provide numerical experiments. We observe that our scheme converges with optimal rates, which coincides with our error analysis. © 2018 Gwanghyun Jo and Do Y. Kwak. | - |
dc.format.extent | 10 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | Hindawi Publishing Corporation | - |
dc.title | Enriched P1-conforming methods for elliptic interface problems with implicit jump conditions | - |
dc.type | Article | - |
dc.publisher.location | 영국 | - |
dc.identifier.doi | 10.1155/2018/9891281 | - |
dc.identifier.scopusid | 2-s2.0-85047637751 | - |
dc.identifier.wosid | 000432818700001 | - |
dc.identifier.bibliographicCitation | Advances in Mathematical Physics, v.2018, pp 1 - 10 | - |
dc.citation.title | Advances in Mathematical Physics | - |
dc.citation.volume | 2018 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 10 | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | FINITE-ELEMENT-METHOD | - |
dc.subject.keywordPlus | DISCONTINUOUS COEFFICIENTS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | SINGULARITIES | - |
dc.subject.keywordPlus | ELASTICITY | - |
dc.identifier.url | https://www.scopus.com/record/display.uri?eid=2-s2.0-85047637751&origin=inward&txGid=63055d34da05a2702c470721715c9b45#funding-details | - |
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