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EnglishWe 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 |
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