Isogeometric discretizations of the Stokes problem: Stability analysis by the macroelement technique (Articolo in rivista)

Type
Label
  • Isogeometric discretizations of the Stokes problem: Stability analysis by the macroelement technique (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1093/imanum/drr056 (literal)
Alternative label
  • A. Bressan; G. Sangalli (2013)
    Isogeometric discretizations of the Stokes problem: Stability analysis by the macroelement technique
    in IMA journal of numerical analysis (Online); Oxford University Press, Oxford (Regno Unito)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • A. Bressan; G. Sangalli (literal)
Pagina inizio
  • 629 (literal)
Pagina fine
  • 651 (literal)
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  • http://imajna.oxfordjournals.org/content/33/2/629.abstract?sid=b6dff6c3-625f-4bf1-91ce-f65cf9214aa8#xref-corresp-1-1 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 33 (literal)
Rivista
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  • 2 (literal)
Note
  • Scopu (literal)
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  • Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy; IMATI, CNR, via Ferrata 1, 27100 Pavia, Italy (literal)
Titolo
  • Isogeometric discretizations of the Stokes problem: Stability analysis by the macroelement technique (literal)
Abstract
  • We propose and study high-regularity isogeometric discretizations of the Stokes problem. We address the Taylor-Hood isogeometric element, already known in this context, and a new Subgrid element which allows highest regularity velocity and pressure fields. Our stability analysis grounds on a characterization of full-rank scalar products for splines, which is the key theoretical result of this paper. We include numerical testing on two- and three-dimensional benchmarks. (literal)
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