Preconditioning the mortar method by substructuring: the high order case (Articolo in rivista)

Type
Label
  • Preconditioning the mortar method by substructuring: the high order case (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1002/anac.200410008 (literal)
Alternative label
  • Bertoluzza S.; Pennacchio M. (2004)
    Preconditioning the mortar method by substructuring: the high order case
    in Applied numerical analysis and computational mathematics (Print); Wiley-VCH Verlag Gmbh, Weinheim (Germania)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bertoluzza S.; Pennacchio M. (literal)
Pagina inizio
  • 434 (literal)
Pagina fine
  • 454 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 1 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • Google Scholar (literal)
  • Mathematical Reviews on the web (MathSciNet) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, Pavia (literal)
Titolo
  • Preconditioning the mortar method by substructuring: the high order case (literal)
Abstract
  • We analyze a class of preconditioners for the mortar method, based on substructuring. After splitting in a suitable way the degrees of freedom in interior, edge and vertex, we study the performance of a block Jacobi type preconditioner for which the condition number of the preconditioned matrix only grows polylogarithmically. Unlike the previous work by Achdou, Maday and Widlund [1], which is restricted to the case of first order finite element, this paper relies on abstract assumptions and therefore applies to finite element of any order. Moreover, the use of a suitable coarse preconditioner (whose effect we analyze) makes this technique more efficient. (literal)
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