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A family of even-order edge-oriented nonconforming finite elements in 2D with efficient locally conservative flux reconstruction

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dc.contributor.authorJo, Gwanghyun-
dc.contributor.authorPark, Hyeokjoo-
dc.date.accessioned2025-07-30T06:30:25Z-
dc.date.available2025-07-30T06:30:25Z-
dc.date.issued2025-10-
dc.identifier.issn0898-1221-
dc.identifier.issn1873-7668-
dc.identifier.urihttps://scholarworks.bwise.kr/erica/handle/2021.sw.erica/126236-
dc.description.abstractIn this paper, we propose a new family of edge-oriented even-order nonconforming finite elements in 2D. The proposed element has fewer degrees of freedom compared to the existing edge-oriented nonconforming elements, and preserves some attractive properties of the Crouzeix-Raviart element, such as the optimal approximation capability and the inf-sup stability. We also present an efficient H(div)-conforming flux reconstruction for the finite element discretization by the proposed element, which is possible due to its edge-oriented degrees of freedom. © 2025 Elsevier Ltd-
dc.format.extent8-
dc.language영어-
dc.language.isoENG-
dc.publisherElsevier Ltd-
dc.titleA family of even-order edge-oriented nonconforming finite elements in 2D with efficient locally conservative flux reconstruction-
dc.typeArticle-
dc.publisher.location영국-
dc.identifier.doi10.1016/j.camwa.2025.07.024-
dc.identifier.scopusid2-s2.0-105010924907-
dc.identifier.wosid001538693300002-
dc.identifier.bibliographicCitationComputers and Mathematics with Applications, v.196, pp 127 - 134-
dc.citation.titleComputers and Mathematics with Applications-
dc.citation.volume196-
dc.citation.startPage127-
dc.citation.endPage134-
dc.type.docTypeArticle-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaMathematics-
dc.relation.journalWebOfScienceCategoryMathematics, Applied-
dc.subject.keywordAuthorEdge-oriented degrees of freedom-
dc.subject.keywordAuthorFlux reconstruction-
dc.subject.keywordAuthorNonconforming finite elements-
dc.identifier.urlhttps://www.sciencedirect.com/science/article/pii/S089812212500313X?pes=vor&utm_source=scopus&getft_integrator=scopus-
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