A posteriori error estimate in the lagrangian setting for an inverse problem based on a new formulation of Maxwell’s system

Paper in proceeding, 2015

In this paper we consider an inverse problem of determination of a dielectric permittivity function from a backscattered electromagnetic wave. The inverse problem is formulated as an optimal control problem for a certain partial differential equation derived from Maxwell’s system. We study a solution method based on finite element approximation and provide a posteriori error estimate for the use in an adaptive algorithm.