A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation (Articolo in rivista) (literal)

Anno

• 2014-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1016/j.jcp.2014.04.021 (literal)

Alternative label

• Lipnikov, K.; Manzini, G. (2014)
  A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation
  in Journal of computational physics (Print); Elsevier, Amsterdam (Paesi Bassi)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Lipnikov, K.; Manzini, G. (literal)

Pagina inizio

• 360 (literal)

Pagina fine

• 385 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://www.sciencedirect.com/science/article/pii/S0021999114002848 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 272 (literal)

Rivista

• Journal of computational physics (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

• 26 (literal)

Note

• ISI Web of Science (WOS) (literal)
• Scopu (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Los Alamos National Laboratory; IMATI CNR; Ctr Simulaz Numer Avanzata CeSNA IUSS Pavia (literal)

Titolo

• A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation (literal)

Abstract

• We present a new family of mimetic finite difference schemes for solving elliptic partial differential equations in the primal form on unstructured polyhedral meshes. These mimetic discretizations are built to satisfy local consistency and stability conditions. The consistency condition is an exactness property, i.e., the mimetic schemes are exact when the solution is a polynomial of an assigned degree. The stability condition ensures the well-posedness of the method. The degrees of freedom are the solution moments on mesh faces and inside mesh cells. Higher order schemes are built using higher order moments. The developed schemes are verified numerically on diffusion problems with constant and spatially variable (possibly, discontinuous) tensorial coefficients. Published by Elsevier Inc. (literal)

Editore

• Elsevier (Editore)

Prodotto di

• Metodi numerici avanzati per la meccanica dei fluidi (TA.P02.030.002) (Modulo)
• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)

Autore CNR

• GIANMARCO MANZINI (Persona)

Insieme di parole chiave

• Parole chiave di "A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto di matematica applicata e tecnologie informatiche \"Enrico Magenes\" (IMATI) (Istituto)
• Metodi numerici avanzati per la meccanica dei fluidi (TA.P02.030.002) (Modulo)

Autore CNR di

• GIANMARCO MANZINI (Persona)

Editore di

• Elsevier (Editore)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Journal of computational physics (Rivista)

Insieme di parole chiave di

• Parole chiave di "A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation" (Insieme di parole chiave)