Immersed boundary method for the complete electrode model in electrical impedance tomography

We propose an immersed boundary scheme for the numerical resolution of Complete Electrode Model in Electrical Impedance Tomography, that we use as a main ingredient inverse problems medical imaging. Such method allows to Cartesian mesh without accurate discretization boundary, which is useful situations where complicated and/or changing. prove convergence our method, and illustrate its efficiency with two dimensional direct problems.