A CONSISTENT DISCONTINUOUS BUBBLE SCHEME FOR ELLIPTIC PROBLEMS WITH INTERFACE JUMPS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | KWON,IN | - |
dc.contributor.author | Jo ,Gwanghyun | - |
dc.date.accessioned | 2023-09-11T01:33:32Z | - |
dc.date.available | 2023-09-11T01:33:32Z | - |
dc.date.issued | 2020-06 | - |
dc.identifier.issn | 1229-9433 | - |
dc.identifier.issn | 1229-0645 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/115172 | - |
dc.description.abstract | We propose a consistent numerical method for elliptic interface problems with nonhomogeneous jumps. We modify the discontinuous bubble immersed finite element method (DB-IFEM) introduced in (Chang et al. 2011), by adding a consistency term to the bilinear form. We prove optimal error estimates in L 2 and energy like norm for this new scheme. One of the important technique in this proof is the Bramble-Hilbert type of interpolation error estimate for discontinuous functions. We believe this is a first time to deal with interpolation error estimate for discontinuous functions. Numerical examples with various interfaces are provided. We observe optimal convergence rates for all the examples, while the performance of early DB-IFEM deteriorates for some examples. Thus, the modification of the bilinear form is meaningful to enhance the performance. | - |
dc.format.extent | 17 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | 한국산업정보응용수학회(Korea Society for Industrial and Applied Mathematics) | - |
dc.title | A CONSISTENT DISCONTINUOUS BUBBLE SCHEME FOR ELLIPTIC PROBLEMS WITH INTERFACE JUMPS | - |
dc.type | Article | - |
dc.publisher.location | 대한민국 | - |
dc.identifier.doi | 10.12941/jksiam.2020.24.143 | - |
dc.identifier.wosid | 000577921000002 | - |
dc.identifier.bibliographicCitation | Journal of the Korea Society for Industrial and Applied Mathematics , v.24, no.2, pp 143 - 159 | - |
dc.citation.title | Journal of the Korea Society for Industrial and Applied Mathematics | - |
dc.citation.volume | 24 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 143 | - |
dc.citation.endPage | 159 | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.identifier.kciid | ART002602973 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | esci | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | FINITE-ELEMENT-METHOD | - |
dc.subject.keywordPlus | ELASTICITY | - |
dc.subject.keywordAuthor | Discontinuous bubble scheme | - |
dc.subject.keywordAuthor | immersed finite element method | - |
dc.subject.keywordAuthor | elliptic equation with interface | - |
dc.subject.keywordAuthor | nonhomogeneous-jump condition | - |
dc.subject.keywordAuthor | structured grids. | - |
dc.identifier.url | https://www.dbpia.co.kr/journal/articleDetail?nodeId=NODE09364505 | - |
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