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 / M. Pennacchio; V. Simoncini. - STAMPA. - (2010), pp. 729-736. (Intervento presentato al convegno ENUMATH 2009 tenutosi a Uppsala (Svezia) nel Luglio 2009).
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.