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dc.contributor.authorSevilla Cárdenas, Rubén
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2018-05-18T11:13:03Z
dc.date.available2019-02-07T01:30:35Z
dc.date.issued2018-02-07
dc.identifier.citationSevilla, R., Huerta, A. HDG-NEFEM with degree adaptivity for stokes flows. "Journal of scientific computing", Desembre 2018, vol. 77, núm. 3, p. 1953-1980.
dc.identifier.issn0885-7474
dc.identifier.urihttp://hdl.handle.net/2117/117357
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s10915-018-0657-2
dc.description.abstractThe NURBS-enhanced finite element method (NEFEM) combined with a hybridisable discontinuous Galerkin (HDG) approach is presented for the first time. The proposed technique completely eliminates the uncertainty induced by a polynomial approximation of curved boundaries that is common within an isoparametric approach and, compared to other DG methods, provides a significant reduction in number of degrees of freedom. In addition, by exploiting the ability of HDG to compute a postprocessed solution and by using a local a priori error estimate valid for elliptic problems, an inexpensive, reliable and computable error estimator is devised. The proposed methodology is used to solve Stokes flow problems using automatic degree adaptation. Particular attention is paid to the importance of an accurate boundary representation when changing the degree of approximation in curved elements. Several strategies are compared and the superiority and reliability of HDG-NEFEM with degree adaptation is illustrated.
dc.format.extent27 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshDifference equations, Partial--Numerical solutions
dc.subject.otherReduced Order Models
dc.subject.otherProper Generalized Decomposition
dc.subject.otherDomain Decomposition
dc.subject.otherParameterized solutions
dc.titleHDG-NEFEM with degree adaptivity for stokes flows
dc.typeArticle
dc.subject.lemacEquacions diferencials parcials--solucions numèriques
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1007/s10915-018-0657-2
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs10915-018-0657-2
dc.rights.accessOpen Access
local.identifier.drac22321842
dc.description.versionPostprint (author's final draft)
local.citation.authorSevilla, R.; Huerta, A.
local.citation.publicationNameJournal of scientific computing
local.citation.volume77
local.citation.number3
local.citation.startingPage1953
local.citation.endingPage1980


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