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dc.contributor.authorGurkan, Ceren
dc.contributor.authorKronbichler, Martin
dc.contributor.authorFernández Méndez, Sonia
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2018-04-27T08:45:59Z
dc.date.available2018-04-27T08:45:59Z
dc.date.issued2017-01-28
dc.identifier.citationGurkan, C., Kronbichler, M., Fernandez, S. Extended hybridizable discontinuous galerkin with heaviside enrichment for heat bimaterial problems. "Journal of scientific computing", 28 Gener 2017, vol. 72, núm. 2, p. 542-567.
dc.identifier.issn0885-7474
dc.identifier.urihttp://hdl.handle.net/2117/116764
dc.descriptionThe final publication is available at link.springer.com
dc.description.abstractA novel strategy for the hybridizable discontinuous Galerkin (HDG) solution of heat bimaterial problems is proposed. It is based on eXtended finite element philosophy, together with a level set description of interfaces. Heaviside enrichment on cut elements and cut faces is used to represent discontinuities across the interface. A suitable weak form for the HDG local problem on cut elements is derived, accounting for the discontinuous enriched approximation, and weakly imposing continuity or jump conditions over the material interface. The computational mesh is not required to fit the interface, simplifying and reducing the cost of mesh generation and, in particular, avoiding continuous remeshing for evolving interfaces. Numerical experiments demonstrate that X-HDG keeps the accuracy of standard HDG methods in terms of optimal convergence and superconvergence.
dc.format.extent26 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherInterface
dc.subject.otherBimaterial
dc.subject.otherHybridizable discontinuous Galerkin (HDG)
dc.subject.otherHigh-order
dc.subject.otherLevel-sets
dc.subject.otherX-FEM
dc.subject.otherX-HDG
dc.titleExtended hybridizable discontinuous galerkin with heaviside enrichment for heat bimaterial problems
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1007/s10915-017-0370-6
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs10915-017-0370-6
dc.rights.accessOpen Access
drac.iddocument19707770
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/AGAUR/PRI2017-2019/2017 SGR 1278
upcommons.citation.authorGurkan, C., Kronbichler, M., Fernandez, S.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameJournal of scientific computing
upcommons.citation.volume72
upcommons.citation.number2
upcommons.citation.startingPage542
upcommons.citation.endingPage567


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