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Adaptive reference elements via harmonic extensions and associated inner modes

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Hakula, Harri
dc.date.accessioned 2020-11-30T08:16:39Z
dc.date.available 2020-11-30T08:16:39Z
dc.date.issued 2020-12-01
dc.identifier.citation Hakula , H 2020 , ' Adaptive reference elements via harmonic extensions and associated inner modes ' , Computers and Mathematics with Applications , vol. 80 , no. 11 , pp. 2272-2288 . https://doi.org/10.1016/j.camwa.2020.07.019 en
dc.identifier.issn 0898-1221
dc.identifier.other PURE UUID: 8ac7414b-1ae0-4995-9c38-236fd481b873
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/8ac7414b-1ae0-4995-9c38-236fd481b873
dc.identifier.other PURE LINK: http://www.scopus.com/inward/record.url?scp=85089296199&partnerID=8YFLogxK
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/53203627/SCI_Hakula_Adaptive.reference.elements.main.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/61748
dc.description.abstract A non-intrusive extension to the standard p-version of the finite element method is proposed. Meshes with hanging nodes are handled by adapting the reference elements so that the resulting discretisation is always conforming. The shape functions on these adaptive reference elements are not polynomials, but either harmonic extensions of the boundary restrictions of the standard shape functions or solutions to a local Poisson problem. The numerical experiments are taken from computational function theory and the efficiency of the proposed extension resulting in exponential convergence in the quantities of interest is demonstrated. en
dc.format.extent 17
dc.format.extent 2272-2288
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Elsevier Limited
dc.relation.ispartofseries Computers and Mathematics with Applications en
dc.relation.ispartofseries Volume 80, issue 11 en
dc.rights openAccess en
dc.title Adaptive reference elements via harmonic extensions and associated inner modes en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Mathematics and Systems Analysis
dc.subject.keyword Adaptivity
dc.subject.keyword Finite element method
dc.subject.keyword Harmonic extensions
dc.subject.keyword p-version
dc.identifier.urn URN:NBN:fi:aalto-2020113020593
dc.identifier.doi 10.1016/j.camwa.2020.07.019
dc.date.embargo info:eu-repo/date/embargoEnd/2022-10-26

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