Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system (Contributo in atti di convegno)

Type
Label
  • Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system (Contributo in atti di convegno) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/978-3-642-11795-4_78 (literal)
Alternative label
  • Pennacchio M., Simoncini V. (2010)
    Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system
    in ENUMATH 2009, Uppsala, July 2009
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pennacchio M., Simoncini V. (literal)
Pagina inizio
  • 729 (literal)
Pagina fine
  • 736 (literal)
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  • Berlino (literal)
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  • Numerical Mathematics and Advanced Applications 2009 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autoriCuratela
  • Pennacchio M., Simoncini V. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • Proceedings of Enumath 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009 (G. Kreiss et al., eds.), pag. 729-736. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatori
  • Pennacchio M.; Simoncini V. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia Dipartimento di Matematica, Universita' degli Studi di Bologna (literal)
Titolo
  • Non-symmetric algebraic multigrid preconditioners for the bidomain reaction-diffusion system (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#inCollana
  • Numerical Mathematics and Advanced Applications 2009 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#isbn
  • 978-3-642-11794-7 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#tipoDiCuratela
  • Libro (literal)
Abstract
  • We deal with the efficient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structured algebraic multigrid (AMG) preconditioner on the formulation generally used of the bidomain model, i.e., the one characterized by a parabolic equation coupled with an elliptic one. Our numerical results show that, for this formulation, the non-symmetric preconditioner provides the best overall performance compared with the AMG based block structured preconditioners developed in [J. Sci. Comput. 36, 391-419 (2008)]. In this paper we provide theoretical justification for the observed optimality. (literal)
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