Simulation of electrophysiological waves with an unstructured finite element method
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 4, p. 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 : https://doi.org/10.1051/m2an:2003051
Classification:  35K57,  65M60,  92Cxx
Keywords: anisotropic bidomain model, spiral waves, FEM
@article{M2AN_2003__37_4_649_0,
     author = {Bourgault, Yves and Ethier, Marc and LeBlanc, Victor G.},
     title = {Simulation of electrophysiological waves with an unstructured finite element method},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {4},
     year = {2003},
     pages = {649-661},
     doi = {10.1051/m2an:2003051},
     zbl = {1065.92004},
     mrnumber = {2018435},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2003__37_4_649_0}
}
Simulation of electrophysiological waves with an unstructured finite element method. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 37 (2003) no. 4, pp. 649-661. doi : 10.1051/m2an:2003051. http://www.numdam.org/item/M2AN_2003__37_4_649_0/

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