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Fast structured AMG preconditioning for the bidomain model in electrocardiology (Articolo in rivista)

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Fast structured AMG preconditioning for the bidomain model in electrocardiology (Articolo in rivista) (literal)

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Alternative label

Pennacchio M., Simoncini V. (2011)
Fast structured AMG preconditioning for the bidomain model in electrocardiology
in SIAM journal on scientific computing (Print); SIAM Publications, Philadelphia (Stati Uniti d'America)
(literal)

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Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R., Pavia, Italy; CIRSA, Ravenna, Italy; Università di Bologna, Dipartimento di Matematica, Bologna, Italy (literal)

Titolo

Fast structured AMG preconditioning for the bidomain model in electrocardiology (literal)

Abstract

The electrical activity of the heart may be modeled by a nonlinear system of partial differential equations known as the bidomain model. Due to the rapid variations in the electrical field, accurate simulations require a fine-scale discretization of the equations and consequently the solution of large severely ill-conditioned linear systems at each time step. Solving these systems is a major bottleneck of the whole simulation. We propose a highly effective preconditioning strategy for a general and popular three-dimensional formulation of the problem. A theoretical analysis of the preconditioned matrix ensuring mesh independence of the spectrum is also described. Numerical comparisons with state-of-the-art approaches confirm the effectiveness of our preconditioning technique. Finally, we show that an equivalent but less exercised formulation provides the best performance, in terms of CPU time. (literal)

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