Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process
type: Item
instance of: scholarly article
title: Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process
zbMATH Open document ID: 1006.65102
DOI: 10.1016/S0377-0427(01)00535-0
author: Micol Pennacchio
author: Valeria Simoncini
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-22T00:00:00Z
review text: A reaction-diffusion system, in a form of nonlinear degenerate parabolic system, which models the excitation process of a small block of cardiac tissue is considered. Classical algebraic approaches and previous formulations and methods are discussed. Numerical approximations for the corresponding variational formulation is obtained, and a new formulation which entails a convenient matrix structure for preconditioning is shown to be efficient in terms of computer time and memory. Convergence results are derived, and numerical experiments by a wide variety of techniques and iterative methods are reported and compared.
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 1787674
zbMATH Keywords: reaction-diffusion system
zbMATH Keywords: iterative methods
zbMATH Keywords: preconditioning
zbMATH Keywords: convergence
zbMATH Keywords: cardiac excitation process
zbMATH Keywords: nonlinear degenerate parabolic system
zbMATH Keywords: numerical experiments
zbMATH Keywords: semidiscretization
reviewed by: Mohamed O. El-Doma
describes a project that uses: Matlab
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787674