Algebraic multigrid preconditioners for the bidomain reaction-diffusion system (Articolo in rivista)

Type
Label
  • Algebraic multigrid preconditioners for the bidomain reaction-diffusion system (Articolo in rivista) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.apnum.2009.08.001 (literal)
Alternative label
  • Pennacchio M.; Simoncini V. (2009)
    Algebraic multigrid preconditioners for the bidomain reaction-diffusion system
    in Applied numerical mathematics; North Holland Pub. Co., Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pennacchio M.; Simoncini V. (literal)
Pagina inizio
  • 3033 (literal)
Pagina fine
  • 3050 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 59 (literal)
Rivista
Note
  • Mathematical Reviews on the web (MathSciNet) (literal)
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, Pavia; Dipartimento di Matematica, Università di Bologna (literal)
Titolo
  • Algebraic multigrid preconditioners for the bidomain reaction-diffusion system (literal)
Abstract
  • The so-called bidomain system is possibly the most complete model for the cardiac bioelectric activity. It consists of a reaction-diffusion system, modeling the intra, extracellular and transmembrane potentials, coupled through a nonlinear reaction term with a stiff system of ordinary differential equations describing the ionic currents through the cellular membrane. In this paper we address the problem of efficiently solving the large linear system arising in the finite element discretization of the bidomain model, when a semiimplicit method in time is employed. We analyze the use of structured algebraic multigrid preconditioners on two major formulations of the model, and report on our numerical experience under different discretization parameters and various discontinuity properties of the conductivity tensors. Our numerical results show that the less exercised formulation provides the best overall performance on a typical simulation of the myocardium excitation process. (literal)
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