2006 | OriginalPaper | Buchkapitel
Performance Comparison of Parallel Geometric and Algebraic Multigrid Preconditioners for the Bidomain Equations
verfasst von : Fernando Otaviano Campos, Rafael Sachetto Oliveira, Rodrigo Weber dos Santos
Erschienen in: Computational Science – ICCS 2006
Verlag: Springer Berlin Heidelberg
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The purpose of this paper is to discuss parallel preconditioning techniques to solve the elliptic portion (since it dominates computation) of the bidomain model, a non-linear system of partial differential equations that is widely used for describing electrical activity in the heart. Specifically, we assessed the performance of parallel multigrid preconditioners for a conjugate gradient solver. We compared two different approaches: the Geometric and Algebraic Multigrid Methods. The implementation is based on the PETSc library and we reported results for a 6-node Athlon 64 cluster. The results suggest that the algebraic multigrid preconditioner performs better than the geometric multigrid method for the cardiac bidomain equations.