Virtual Element and Discontinuous Galerkin Methods (Contributo in volume (capitolo o saggio))

Type
Label
  • Virtual Element and Discontinuous Galerkin Methods (Contributo in volume (capitolo o saggio)) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/978-3-319-01818-8 9 (literal)
Alternative label
  • F. Brezzi, L.D. Marini (2014)
    Virtual Element and Discontinuous Galerkin Methods
    Springer International Publishing, CH-6330 Cham (ZG) (Svizzera) in Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, 2014
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • F. Brezzi, L.D. Marini (literal)
Pagina inizio
  • 209 (literal)
Pagina fine
  • 221 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/chapter/10.1007/978-3-319-01818-8_9 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#titoloVolume
  • Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 157 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • IUSS-Pavia, Pavia, Italy and King Abdulaziz University, Jeddah, Saudi Arabia; Universit`a di Pavia, Pavia, Italy (literal)
Titolo
  • Virtual Element and Discontinuous Galerkin Methods (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#isbn
  • 978-3-319-01817-1 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatoriVolume
  • X. Feng et al. (literal)
Abstract
  • Virtual element methods (VEM) are the latest evolution of the Mimetic Finite Difference Method and can be considered to be more close to the Finite Element approach. They combine the ductility of mimetic finite differences for dealing with rather weird element geometries with the simplicity of implementation of Finite Elements. Moreover, they make it possible to construct quite easily high-order and high-regularity approximations (and in this respect they represent a significant improvement with respect to both FE and MFD methods). In the present paper we show that, on the other hand, they can also be used to construct DG-type approximations, although numerical tests should be done to compare the behavior of DG-VEM versus DG-FEM. (literal)
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