Simulation of Electrophysiological Waves with an Unstructured Finite Element Method

Yves Bourgault, Marc Ethier, Victor G. LeBlanc
2003 Mathematical Modelling and Numerical Analysis  
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,
more » ... cation. 35K57, 65M60, 92Cxx. * This work has been supported by NSERC Operating grants and a NSERC scholarship.
doi:10.1051/m2an:2003051 fatcat:zck6rhrusvdh5ovcfuc2gtigru