Numerical Resolution of the Electrical Impedance Tomography Inverse Problem with Fixed Inclusions

Abstract : Electrical Impedance Tomography or EIT is an imaging technique that reconstructs the conductivity distribution in the interior of an object using electric currents. In this paper, we study the continuum model for EIT in a domain where the geometric inclusions are fixed and only the conductivity values inside these inclusions are unknown. We show analytically and numerically how the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm, a quasi-Newton method, can be effective in solving this inverse conductivity problem for EIT. \textcopyright 2021. All Rights Reserved.