On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology

Abstract

In this paper, we deal with the problem of determining perfectly insulating regions (cavities) from one boundary measurement in a nonlinear elliptic equation arising from cardiac electrophysiology. Based on the results obtained in [9] we propose a new reconstruction algorithm based on Γ-convergence. The relevance and applicability of this approach are then shown through several numerical experiments.