Adaptive reference elements via harmonic extensions and associated inner modes

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorHakula, Harrien_US
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.groupauthorNumerical Analysisen
dc.date.accessioned2020-11-30T08:16:39Z
dc.date.available2020-11-30T08:16:39Z
dc.date.embargoinfo:eu-repo/date/embargoEnd/2022-10-26en_US
dc.date.issued2020-12-01en_US
dc.description.abstractA 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.description.versionPeer revieweden
dc.format.extent17
dc.format.extent2272-2288
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationHakula, 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.2020.07.019en
dc.identifier.doi10.1016/j.camwa.2020.07.019en_US
dc.identifier.issn0898-1221
dc.identifier.otherPURE UUID: 8ac7414b-1ae0-4995-9c38-236fd481b873en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/8ac7414b-1ae0-4995-9c38-236fd481b873en_US
dc.identifier.otherPURE LINK: http://www.scopus.com/inward/record.url?scp=85089296199&partnerID=8YFLogxKen_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/53203627/SCI_Hakula_Adaptive.reference.elements.main.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/61748
dc.identifier.urnURN:NBN:fi:aalto-2020113020593
dc.language.isoenen
dc.publisherElsevier Limited
dc.relation.ispartofseriesComputers and Mathematics with Applicationsen
dc.relation.ispartofseriesVolume 80, issue 11en
dc.rightsopenAccessen
dc.subject.keywordAdaptivityen_US
dc.subject.keywordFinite element methoden_US
dc.subject.keywordHarmonic extensionsen_US
dc.subject.keywordp-versionen_US
dc.titleAdaptive reference elements via harmonic extensions and associated inner modesen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
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