Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes with arbitrary regular solution. (Contributo in atti di convegno)

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Label
  • Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes with arbitrary regular solution. (Contributo in atti di convegno) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.5151/meceng-wccm2012-18943 (literal)
Alternative label
  • Lourenco Beirao da Veiga and Gianmarco Manzini (2014)
    Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes with arbitrary regular solution.
    in 10th World Congress on Computational Mechanics, Sao Paulo, Brazil, 8-13 July 2013
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Lourenco Beirao da Veiga and Gianmarco Manzini (literal)
Pagina inizio
  • 2616 (literal)
Pagina fine
  • 2628 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.proceedings.blucher.com.br/article-list/10thwccm-216/list#articles (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#titoloVolume
  • 10th World Congress on Computational Mechanics (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 1 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica \"F. Enriques\", Universita degli Studi di Milano; IMATI-CNR, Pavia (literal)
Titolo
  • Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes with arbitrary regular solution. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatoriVolume
  • Paulo M. Pimenta (literal)
Abstract
  • We present a new family of mimetic methods on unstructured polygonal meshes for the diffusion problem in primal form for solution with regularity C®(­) for any integer ® ¸ 0. These methods are derived from a local consistency condition that is exact for polynomials of degree m = ® + 1. The degrees of freedom are (a) solution and derivative values of various degree at the mesh vertices and (b) solution moments inside polygons. Theoretical results concerning the convergence of the method are briefly summarized and an optimal error estimate is given in a mesh-dependent norm that mimics the energy norm. Numerical experiments confirm the convergence rate that is expected from the theory (literal)
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