A methodology based on mesh morphing algorithm and improved tabu algorithm for non-linear inverse scattering

This paper proposed an inversion method, for the study of non-linear inverse scattering problems, which is derived from an improved tabu algorithm and a mesh morphing technique based on finite-element method. A remesh-free morphing method is reported to improve the quality of the reconstruction with neither remeshing nor increases in the number of unknowns. Refined meshes can be quickly derived using a coordinate mapping technique according to a given fine mesh and an initial coarse mesh. The sensitivity analysis is used as an indication of the step vector to help obtain the global optimum rapidly, thus the proposed methodology is particularly useful for time consuming inverse problems. Numerical results both in 2-D and 3-D examples are given to showcase the efficiency and effectiveness of the proposed method.