Solving Inverse Problems by Space Mapping with Inverse Difference Method

Abstract

The surrogate methods have been used to ease the computational burden in various disciplines. In this work, a surrogate method based on space mapping is proposed to solve inverse problems. Even though the efficiency of space mapping and its variants has been demonstrated in numerous work, using it for inverse problems is addressed for the first time in this work. The efficiency of the proposed method is demonstrated solving the shape reconstruction of a conducting cylinder.