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dc.contributor.authorSevilla Càrdenas, Ruben
dc.contributor.authorFernández Méndez, Sonia
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2018-05-14T09:38:50Z
dc.date.available2018-05-14T09:38:50Z
dc.date.issued2011-10-03
dc.identifier.citationSevilla, R., Fernandez, S. Numerical integration over 2D NURBS-shaped domains with applications to NURBS-enhanced FEM. "Finite elements in analysis and design", 3 Octubre 2011, vol. 47, núm. 10, p. 1209-1220.
dc.identifier.issn0168-874X
dc.identifier.urihttp://hdl.handle.net/2117/117187
dc.description.abstractThis paper focuses on the numerical integration of polynomial functions along non-uniform rational B-splines (NURBS) curves and over 2D NURBS-shaped domains, i.e. domains with NURBS boundaries. The integration of the constant function f=1 is of special interest in computer aided design software and the integration of very high-order polynomials is a key aspect in the recently proposed NURBS-enhanced finite element method (NEFEM). Several well-known numerical quadratures are compared for the integration of polynomials along NURBS curves, and two transformations for the definition of numerical quadratures in triangles with one edge defined by a trimmed NURBS are proposed, analyzed and compared. When exact integration is feasible, explicit formulas for the selection of the number of integration points are deduced. Numerical examples show the influence of the number of integration points in NEFEM computations.
dc.format.extent12 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshNumerical analysis
dc.subject.lcshComputing Methodologies
dc.subject.otherNumerical integration
dc.subject.otherNURBS
dc.subject.otherNURBS-enhanced finite element method
dc.subject.otherGauss–Legendre
dc.subject.otherComposite rule
dc.titleNumerical integration over 2D NURBS-shaped domains with applications to NURBS-enhanced FEM
dc.typeArticle
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacInformàtica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.finel.2011.05.011
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65Y Computer aspects of numerical algorithms
dc.subject.amsClassificació AMS::68 Computer science::68U Computing methodologies and applications
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0168874X1100117X
dc.rights.accessOpen Access
drac.iddocument8733453
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorSevilla, R.; Fernandez, S.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameFinite elements in analysis and design
upcommons.citation.volume47
upcommons.citation.number10
upcommons.citation.startingPage1209
upcommons.citation.endingPage1220


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