The mortar finite element method for cardiac reaction-diffusion models

We deal with the problem modeling the electrical activity of the heart and a non conforming non overlapping domain decomposition method, based on the Mortar FEM, is proposed. The aim is to devise a numerical method that allows real time solution of the problem introducing adaptivity, but maintaining the easiness of implementation and the properties of conforming methods in each subdomain. The numerical tests show how the method works and its efficiency.