Iteratively Regularized Adaptive Finite Element Method for Reconstruction of Coefficients in Maxwell’s System

We consider iteratively regularized adaptive finite element method for reconstruction of spatially distributed\ndielectric permittivity and magnetic permeability functions, " (x) and _ (x) ; x 2 R3 , simultaneously,\nusing time-dependent backscattering data. These functions are unknown coefficients in Maxwell’s\nsystem of equations. We formulate our problem as the coefficient inverse problem (CIP)…