Numerical Solution of the Monodomain Equation: an Inverse Problem for Infarction Models

This project deals with the finite element approximation of an inverse problem for the monodomain equation, which models the propagation of the electrical potential in the cardiac muscle. The goal consists in recovering the shape of an infarcted area inside the cardiac muscle by measuring the electrical potential at the border of the domain, which is the principle of electrocardiograms (ECG). We consider a problem in two dimensions with implementations in FreeFem++.