A higher-order formulation of the mimetic finite difference method (Articolo in rivista)

Type
Label
  • A higher-order formulation of the mimetic finite difference method (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1137/080717894 (literal)
Alternative label
  • Beirao da Veiga L., Manzini G. (2008)
    A higher-order formulation of the mimetic finite difference method
    in SIAM journal on scientific computing (Print); SIAM Publications, Philadelphia (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Beirao da Veiga L., Manzini G. (literal)
Pagina inizio
  • 732 (literal)
Pagina fine
  • 760 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 31 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • Scopus (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Beirao da Veiga L, Dipartimento di Matematica \"F. Enriques,\" Universit`a degli Studi di Milano, via Saldini 50, I - 20133 Milano, Italy Manzini G., Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI) - CNR, via Ferrata 1, I - 27100 Pavia, Italy (literal)
Titolo
  • A higher-order formulation of the mimetic finite difference method (literal)
Abstract
  • A new mimetic finite difference method for the diffusion problem is developed by using a linear interpolation for the numerical fluxes. This approach provides a higher-order accurate approximation to the flux of the exact solution. In analogy with the original formulation, a family of local scalar products is constructed to satisfy the fundamental properties of local consistency and spectral stability. The scalar solution field is approximated by a piecewise constant function. A computationally efficient postprocessing technique is also proposed to get a piecewise quadratic polynomial approximation to the exact scalar variable. Finally, optimal convergence rates and accuracy improvement with respect to the lower-order formulation are shown by numerical examples. (literal)
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