Modified simply sparse method for electromagnetic scattering by PEC

In this paper, the multilevel simply sparse method (MLSSM) is presented to improve the performance of fast direct solvers for integral equations. The SSM is a general, physically motivated compression algorithm for integral equation formulations of electromagnetic phenomena. An important feature of the algorithm is the ease with which it can be applied to diverse scattering and radiation configurations. In this paper, the MSSM is used to compress various integral equations including the electric field integral equation (EFIE), magnetic field integral equation (MFIE) and combined field integral equation (CFIE). All of these IE were compressed into a sparse format and compared to the compressed format of the MLFMM. Also, the work presented consists of the multilevel implementation of the SSM (MLSSM) that will further reduce the memory usage.