A kernel-based method for dense-mesh problems

Fast methods for the evaluation of the EFIE operator at a given current distribution undergo some difficulties at low frequency. In particular, it is well known that the MLFMA at low frequency undergoes a breakdown due to the translation operator that becomes unstable. In this paper, an innovative method that provides a fast way to calculate the evaluation of the EFIE operator at a given current distribution and for low-frequency problem is presented. It is based on local Taylor approximation of the Green's function coupled with one-time (once and for all geometry) SVD compression technique.