Data di Pubblicazione:
2010
Citazione:
Parallel bidomain preconditioners for cardiac excitation / P. Colli Franzone, L.F. Pavarino, S. Scacchi - In: Numerical analysis and applied mathematics : ICNAAM-2010 :
International conference on numerical analysis and applied mathematics : Rhodes, Greece, 19-25 September 2010 / [a cura di] T. Simos, G. Psihoyios, C. Tsitouras. - [s.l] : American Institute of Physics, 2010 Sep. - ISBN 9780735408340. - pp. 411-414 (( convegno International conference of numerical analysis and applied mathematics : ICNAAM tenutosi a Rhodes (Greece) nel 2010.
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).
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Bidomain model; domain decomposition method; Newton-Krylov-Schwarz method; overlapping Schwarz preconditioner
Elenco autori:
P. Colli Franzone, L.F. Pavarino, S. Scacchi
Link alla scheda completa:
Titolo del libro:
Numerical analysis and applied mathematics : ICNAAM-2010 :
International conference on numerical analysis and applied mathematics : Rhodes, Greece, 19-25 September 2010
International conference on numerical analysis and applied mathematics : Rhodes, Greece, 19-25 September 2010