Isogeometric discrete differential forms in three dimensions (Articolo in rivista)

Type
Label
  • Isogeometric discrete differential forms in three dimensions (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1137/100786708 (literal)
Alternative label
  • Buffa A.; Rivas J.; Sangalli G.; Vázquez R. (2011)
    Isogeometric discrete differential forms in three dimensions
    in SIAM journal on numerical analysis (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Buffa A.; Rivas J.; Sangalli G.; Vázquez R. (literal)
Pagina inizio
  • 818 (literal)
Pagina fine
  • 844 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 49 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia; Dipartimento di Matematica, Università di Pavia (literal)
Titolo
  • Isogeometric discrete differential forms in three dimensions (literal)
Abstract
  • The concept of isogeometric analysis (IGA) was first applied to the approximation of Maxwell equations in [A. Buffa, G. Sangalli, and R. Vázquez, Comput. Methods Appl. Mech. Engrg., 199 (2010), pp. 1143-1152]. The method is based on the construction of suitable B-spline spaces such that they verify a De Rham diagram. Its main advantages are that the geometry is described exactly with few elements, and the computed solutions are smoother than those provided by finite elements. In this paper we develop the theoretical background to the approximation of vector fields in IGA. The key point of our analysis is the definition of suitable projectors that render the diagram commutative. The theory is then applied to the numerical approximation of Maxwell source problems and eigenproblems, and numerical results showing the good behavior of the scheme are also presented. (literal)
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