Post processing of solution and flux for the nodal mimetic finite difference method (Articolo in rivista)

Type
Label
  • Post processing of solution and flux for the nodal mimetic finite difference method (Articolo in rivista) (literal)
Anno
  • 2015-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1002/num.21907 (literal)
Alternative label
  • Beirao da Veiga L.; Manzini G.; Putti M. (2015)
    Post processing of solution and flux for the nodal mimetic finite difference method
    in Numerical methods for partial differential equations (Online); Wiley, New York (Regno Unito)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Beirao da Veiga L.; Manzini G.; Putti M. (literal)
Pagina inizio
  • 336 (literal)
Pagina fine
  • 363 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.scopus.com/inward/record.url?eid=2-s2.0-84904714178&partnerID=q2rCbXpz (literal)
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  • 31 (literal)
Rivista
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  • 28 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica, F. Enriques Università degli Studi di Milano Italy; Theoretical Division Los Alamos National Laboratory Los Alamos, New Mexico 87545; IMATI-CNR I-27100 Pavia Italy; Dipartimento di Matematica Università degli Studi di Padova Padova Italy (literal)
Titolo
  • Post processing of solution and flux for the nodal mimetic finite difference method (literal)
Abstract
  • We develop and analyze a post processing technique for the family of low-order mimetic discretizations based on vertex unknowns for the numerical treatment of diffusion problems on unstructured polygonal and polyhedral meshes. The post processing works in two steps. First, from the nodal degrees of freedom, we reconstruct an elemental-based vector field that approximates the gradient of the exact solution. Second, we solve a local problem for each mesh vertex associated with a scheme degree of freedom to determine a post processed normal flux that is conservative and divergence preserving. Theoretical results and numerical experiments for two-dimensional (2D) and 3D benchmark problems show optimal convergence rates. © 2014 Wiley Periodicals, Inc. (literal)
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