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.
Titolo: | Non-symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction--Diffusion system |
Autore/i: | M. Pennacchio; SIMONCINI, VALERIA |
Autore/i Unibo: | |
Anno: | 2010 |
Titolo del libro: | Numerical Mathematics and Advanced Applications 2009 |
Pagina iniziale: | 729 |
Pagina finale: | 736 |
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. |
Data prodotto definitivo in UGOV: | 9-dic-2010 |
Appare nelle tipologie: | 4.01 Contributo in Atti di convegno |