We deal with the e±cient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structured algebraic multigrid (AMG) preconditioner on the formulation generally used of the bidomain model, i.e. the one characterized by a parabolic equation coupled with an elliptic one. Our numerical results show that, for this formulation, the non- symmetric preconditioner provides the best overall performance compared with the AMG based block structured preconditioners developed in [12]. In this paper we provide theoretical justi¯cation for the observed optimality.

Non-symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction--Diffusion system

SIMONCINI, VALERIA
2010

Abstract

We deal with the e±cient solution of the so-called bidomain system which is possibly the most complete model for the cardiac bioelectric activity. We study the performance of a non-symmetric structured algebraic multigrid (AMG) preconditioner on the formulation generally used of the bidomain model, i.e. the one characterized by a parabolic equation coupled with an elliptic one. Our numerical results show that, for this formulation, the non- symmetric preconditioner provides the best overall performance compared with the AMG based block structured preconditioners developed in [12]. In this paper we provide theoretical justi¯cation for the observed optimality.
Numerical Mathematics and Advanced Applications 2009
729
736
M. Pennacchio; V. Simoncini
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/93911
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