Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes (Contributo in atti di convegno)

Type
Label
  • Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes (Contributo in atti di convegno) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/978-3-642-20671-9_8 (literal)
Alternative label
  • Beirao da Veiga L., Lipnikov K., Manzini G. (2011)
    Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes
    in FVCA 6, International Symposium, Praga, 6/10 giugno 2011
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Beirao da Veiga L., Lipnikov K., Manzini G. (literal)
Pagina inizio
  • 69 (literal)
Pagina fine
  • 77 (literal)
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  • http://www.springer.com/mathematics/dynamical+systems/book/978-3-642-20670-2 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#titoloVolume
  • Finite Volumes for Complex Applications VI Problems & Perspectives (literal)
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  • 4 (literal)
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  • In: \"Finite volumes for Complex Applications VI: Problems & Perspectives\", vol. 1, Springer, 2011 (Springer proceedings in mathematics, vol. 4), pag. 69-78. (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica, Università di Milano; Los Alamos National Laboratories, USA; IMATI-CNR, Pavia (literal)
Titolo
  • Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#isbn
  • 978-3-642-20670-2 (literal)
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  • Fort, J.; Fürst, J.; Halama, J.; Herbin, R.; Hubert, F. (Eds.) (literal)
Abstract
  • We develop and analyze a new family of mimetic methods on unstructured polygonal meshes for the diffusion problem in primal form. The new nodal formulation that we propose in this work extends the original low-order formulation of [3] to arbitrary orders of accuracy by requiring that the consistency condition holds for polynomials of arbitrary degree m >= 1. An error estimate is presented in a mesh-dependent norm that mimics the energy norm and numerical experiments confirm the convergence rate that is expected from the theory. (literal)
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