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M2AN, Vol. 37, N°4, pp. 649-661
DOI: 10.1051/m2an:2003051
Simulation of Electrophysiological Waves with an Unstructured Finite Element Method
Yves Bourgault, Marc Ethier and Victor G. LeBlancDepartment of Mathematics and Statistics, University of Ottawa, On, K1N 6N5 Canada. ybourg@mathstat.uottawa.ca.
Abstract
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.
Mathematics Subject Classification. 35K57, 65M60, 92Cxx.
Key words: Anisotropic bidomain model, spiral waves, FEM.
© EDP Sciences, SMAI 2003
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