The multilevel compressed block decomposition algorithms for analyzing the scattering of objects in half space

Abstract

The convergence rate of iterative methods can vary in an unpredictable way. It is related to the matrix condition number, which is notoriously bad for the electric field integral equation (EFIE) in the large-scale electromagnetic problems. Therefore, an eff icient direct solution-multilevel compressed block decomposition (MLCBD) algorithm based on the adaptive cross approximation (ACA) algorithm is applied to overcome this problem, it is very eff icient for the Monostatic problems. Simulation results of the objects up and below ground in half space demonstrate that the MLCBD method is e f ficient for analyzing electromagnetic problems.