An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation (Articolo in rivista)

Type
Label
  • An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1145/1916461.1916466 (literal)
Alternative label
  • Silvester, David J. ; Simoncini, V. (2011)
    An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation
    in ACM transactions on mathematical software; ACM, Association for computing machinery, New York (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Silvester, David J. ; Simoncini, V. (literal)
Pagina inizio
  • 42:1 (literal)
Pagina fine
  • 42:22 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://doi.acm.org/10.1145/1916461.1916466 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 37 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England Università di Bologna, Dipartimento di Matematica, Bologna, Italy (literal)
Titolo
  • An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation (literal)
Abstract
  • We discuss the design and implementation of a suit of functions for solving symmetric indefinite linear systems associated with mixed approximation of systems o PDEs. The novel feature of our iterative solver is th incorporation of error control in the natural \"energy\" norm in combination with an a posteriori estimator fo the PDE approximation error. This leads to a robust and optimally efficient stopping criterion: the iteration is terminated as soon as the algebraic error is insignificant compared to the approximation error. We describe a \"proof of concept\" MATLAB implementation of this algorithm, which we call EST_MINRES, and we illustrate its effectiveness when integrated into the Incompressible Flow Iterative Solution Software (IFISS) package. (literal)
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