Simulation of electrophysiological waves with an unstructured finite element method
ESAIM: Modélisation mathématique et analyse numérique, Special issue on Biological and Biomedical Applications, Tome 37 (2003) no. 4, pp. 649-661.

Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.

DOI : 10.1051/m2an:2003051
Classification : 35K57, 65M60, 92Cxx
Mots-clés : anisotropic bidomain model, spiral waves, FEM 
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     title = {Simulation of electrophysiological waves with an unstructured finite element method},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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     publisher = {EDP-Sciences},
     volume = {37},
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Bourgault, Yves; Ethier, Marc; LeBlanc, Victor G. Simulation of electrophysiological waves with an unstructured finite element method. ESAIM: Modélisation mathématique et analyse numérique, Special issue on Biological and Biomedical Applications, Tome 37 (2003) no. 4, pp. 649-661. doi : 10.1051/m2an:2003051. http://archive.numdam.org/articles/10.1051/m2an:2003051/

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