CONVERGENCE OF A RECONSTRUCTION METHOD FOR THE INVERSE CONDUCTIVITY PROBLEM

The inverse conductivity problem is that of reconstructing a spatially varying isotropic conductivity in the interior of some region by mean s of steady-state measurements taken at the boundary. Reconstruction s chemes including least-squares type minimization methods have been wid ely studied and implemented, but convergence analysis has been largely ignored. This paper establishes the convergence of a well-known least -squares minimization scheme-the Levenberg Marquardt method-on a regul arized formulation of the inverse conductivity problem.