Application of multiresolution preconditioner technique for scattering problem in a half space

In this paper, a modified multilevel fast multipole method (MLFMM) is presented to compute the scattering problem of the arbitrary perfect electric conductors (PECs) above a lossy half space. The half-space MLFMM algorithm is validated through comparison with authoritative literature results. Further the multiresolution (MR) preconditioner is used to precondition the modified MLFMM, the results show the MR preconditioner can speed up the convergence rate quite well.