Parallel bidomain preconditioners for cardiac excitation (Contributo in atti di convegno)

Type
Label
  • Parallel bidomain preconditioners for cardiac excitation (Contributo in atti di convegno) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1063/1.3498493 (literal)
Alternative label
  • P. Colli Franzone; L.F. Pavarino; S. Scacchi (2010)
    Parallel bidomain preconditioners for cardiac excitation
    in ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010, Rodi (Grecia), 19-25 settembre 2010
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • P. Colli Franzone; L.F. Pavarino; S. Scacchi (literal)
Pagina inizio
  • 411 (literal)
Pagina fine
  • 414 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://scitation.aip.org/content/aip/proceeding/aipcp/1281;jsessionid=ek2qe1hmp3pko.x-aip-live-02 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#titoloVolume
  • ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 1281 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 1281 (literal)
Rivista
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica, Universit√† di Pavia, via Ferrata 1, 27100 Pavia, Italy; Dipartimento di Matematica, Universit√† di Milano, via Saldini 50, 20133 Milano, Italy (literal)
Titolo
  • Parallel bidomain preconditioners for cardiac excitation (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatoriVolume
  • Theodore E. Simos , George Psihoyios and Ch. Tsitouras (literal)
Abstract
  • A multilevel hybrid Newton-Krylov-Schwarz (NKS) method is constructed and studied numerically for implicit time discretizations of the Bidomain reaction-diffusion system in three dimensions. This model describes the bioelectrical activity of the heart by coupling two degenerate parabolic equations with a stiff system of ordinary differential equations. The NKS Bidomain solver employs an outer inexact Newton iteration to solve the nonlinear finite element system originating at each time step of the implicit discretization. The Jacobian update during the Newton iteration is solved by a Krylov method employing a multilevel hybrid overlapping Schwarz preconditioner, additive within the levels and multiplicative among the levels. Parallel tests on Linux clusters are performed, showing that the convergence of the method is independent of the number of subdomains (scalability), the discretization parameters and the number of levels (optimality). (literal)
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