Efficient quadrature for NURBS-based isogeometric analysis (Articolo in rivista)

Type
Label
  • Efficient quadrature for NURBS-based isogeometric analysis (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.cma.2008.12.004 (literal)
Alternative label
  • Hughes T.J.R., Reali A., Sangalli G. (2010)
    Efficient quadrature for NURBS-based isogeometric analysis
    in Computer methods in applied mechanics and engineering; Elsevier, Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Hughes T.J.R., Reali A., Sangalli G. (literal)
Pagina inizio
  • 301 (literal)
Pagina fine
  • 313 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0045782508004295 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 199 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
  • Scopus (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Institute for Computational Engineering and Sciences, University of Texas at Austin, United States; Dipartimento di Meccanica Strutturale, Università degli Studi di Pavia, Italy; Dipartimento di Matematica, Università degli Studi di Pavia, Via Ferrata 1, 27100 Pavia, Italy; European Centre for Training and Research in Earthquake Engineering, Pavia, Italy; Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia, Italy (literal)
Titolo
  • Efficient quadrature for NURBS-based isogeometric analysis (literal)
Abstract
  • We initiate the study of efficient quadrature rules for NURBS-based isogeometric analysis. A rule of thumb emerges, the \"half-point rule\", indicating that optimal rules involve a number of points roughly equal to half the number of degrees-of-freedom, or equivalently half the number of basis functions of the space under consideration. The half-point rule is independent of the polynomial order of the basis. Efficient rules require taking into account the precise smoothness of basis functions across element boundaries. Several rules of practical interest are obtained, and a numerical procedure for determining efficient rules is presented. We compare the cost of quadrature for typical situations arising in structural mechanics and fluid dynamics. The new rules represent improvements over those used previously in isogeometric analysis. (literal)
Editore
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Prodotto
Autore CNR di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Editore di
Insieme di parole chiave di
data.CNR.it