A new discretization methodology for diffusion problems on generalized polyhedral meshes (Articolo in rivista)

Type
Label
  • A new discretization methodology for diffusion problems on generalized polyhedral meshes (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.cma.2006.10.028 (literal)
Alternative label
  • Brezzi F., Lipnikov K., Shashkov M., Simoncini V. (2007)
    A new discretization methodology for diffusion problems on generalized polyhedral meshes
    in Computer methods in applied mechanics and engineering
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Brezzi F., Lipnikov K., Shashkov M., Simoncini V. (literal)
Pagina inizio
  • 3682 (literal)
Pagina fine
  • 3692 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 196 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 37-40 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Brezzi- IMATI CNR Lipnikov - Los Alamos National Laboratory USA Shashkov - Los Alamos National Laboratory USA Simoncini - Dip. di Matematica Universita` di Bologna (literal)
Titolo
  • A new discretization methodology for diffusion problems on generalized polyhedral meshes (literal)
Abstract
  • We develop a family of inexpensive discretization schemes for diffusion problems on generalized polyhedral meshes with elements having non-planar faces. The material properties are described by a full tensor. We also prove superconvergence for the scalar (pressure) variable under very general assumptions. The theoretical results are confirmed with numerical experiments. In the practically important case of logically cubic meshes with randomly perturbed nodes, the mixed finite element with the lowest order Raviart-Thomas elements does not converge while the proposed mimetic method has the optimal convergence rate. (literal)
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Prodotto
Autore CNR di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Insieme di parole chiave di
data.CNR.it