Novel Pre-Corrected Multilevel Fast Multipole Algorithm for Electrical Large Radition Problem

Abstract

In order to accelerate the solution procedure of radiation problems using multilevel fast multipole algorithm, a novel precorrected method is presented in this paper. A rather small impedance matrix in the local region near the feed point is generated to evaluate the local surface current which could approximately describe the characteristic near the excited point. Due to the difference between unknown and the local currents are more close to the zero vectors than the unknown currents themselves, it does need less iteration steps using the difference as the unknown vector to get the solution. As is shown, this method could decrease the number of iteration and greatly reduce the time of solution.