Inverse scattering problem from an impedance obstacle via two-steps method

In this paper we deal with the inverse scattering problem for an impedance obstacle. The aim is to recover both the impedance function and the scatterer simultaneously. Based on boundary integral equations, our method splits the inverse problem into a well-posed direct problem followed by a smaller ill-posed problem which has advantages both in understanding the inverse problem and in the numerical reconstructions. (C) 2014 Elsevier Inc. All rights reserved.