A non-conforming domain decomposition method for the cardiac potential problem

A non-conforming non-overlapping domain decomposition based on the mortar method is applied to the cardiac potential problem. This problem is characterized by a narrow wavefront spreading through the myocardium. The numerical technique used allows adaptivity in the regions crossed by the wavefront thus increasing the accuracy of the computation. Numerical results illustrate how the method works and its efficiency if compared to the classical conforming Finite Element method.