Optimized Schwarz Methods for the Bidomain System in Electrocardiology

The Bidomain model is nowadays one of the most accurate mathematical descriptions of the action potential propagation in the heart. However, its numerical approximation is in general fairly expensive as a consequences of the mathematical features of this system. In this paper we analyze an Optimized Schwarz approach for the numerical solution of the Bidomain problem. The convergence of the iterative method is studied by means of a Fourier analysis, and we investigate the parameter optimization in the interface conditions. Numerical results in 2D and 3D are given to corroborate our results.