The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes (Articolo in rivista)

Type
Label
  • The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1137/110831593 (literal)
Alternative label
  • Stella Krell, Gianmarco Manzini (2012)
    The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes
    in SIAM journal on numerical analysis (Print); Society for Industrial and Applied Mathematics, Philadelphia, PA (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Stella Krell, Gianmarco Manzini (literal)
Pagina inizio
  • 808 (literal)
Pagina fine
  • 837 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://epubs.siam.org/doi/abs/10.1137/110831593 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 50 (literal)
Rivista
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  • 20 (literal)
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  • 2 (literal)
Note
  • ACM DL (literal)
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Université de Provence, Laboratoire d'Analyse, Topologie et Probabilités, 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France; Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI-CNR), via Ferrata 1, I-27100 Pavia, Italy; Centro di Simulazione Numerica Avanzata (CeSNA), IUSS Pavia, v.le Lungo Ticino Sforza 56, I-27100 Pavia, Italy (literal)
Titolo
  • The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes (literal)
Abstract
  • We develop a discrete duality finite volume method for the three-dimensional steady Stokes problem with a variable viscosity coefficient on polyhedral meshes. Under very general assumptions on the mesh, which may admit nonconforming polyhedrons, we prove the stability and well-posedness of the scheme. We also prove the convergence of the numerical approximation to the velocity, velocity gradient, and pressure and derive a priori estimates for the corresponding approximation error. Final numerical experiments confirm the theoretical predictions. (literal)
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