Multilevel Schwarz and multigrid preconditioners for the Bidomain system
Contributo in Atti di convegno
Data di Pubblicazione:
2008
Citazione:
Multilevel Schwarz and multigrid preconditioners for the Bidomain system / S. Scacchi, L.F. Pavarino - In: Domain Decomposition Methods in Science and Engineering XVII / [a cura di] U. Langer, M. Discacciati, D. Keyes, O. Widlund, W. Zulehner. - Berlin : Springer, 2008. - ISBN 9783540751984. - pp. 631-638 (( Intervento presentato al 17. convegno Domain Decomposition Methods in Science and Engineering tenutosi a St. Wolfgang/Strobl, Austria nel 2006 [10.1007/978-3-540-75199-1_79].
Abstract:
Two parallel and scalable multilevel preconditioners for the Bidomain
system in computational electrocardiology are introduced and studied. The Bido-
main system, consisting of two degenerate parabolic reaction-diffusion equations
coupled with a stiff system of several ordinary differential equations, generates very
ill-conditioned discrete systems when discretized with semi-implicit methods in time
and finite elements in space. The multilevel preconditioners presented in this paper
attain the best performance to date, both in terms of convergence rate and solution
time and outperform the simpler one-level preconditioners previously introduced.
Parallel numerical results, using the PETSc library and run on Linux Clusters,
show the scalability of the proposed preconditioners and their efficiency on large-
scale simulations of a complete cardiac cycle.
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
S. Scacchi, L.F. Pavarino
Link alla scheda completa:
Titolo del libro:
Domain Decomposition Methods in Science and Engineering XVII