On the Lagrange interpolation in multilevel fast multipole algorithm

In this paper the Lagrange interpolation employed in the multilevel fast multipole algorithm (MLFMA) is considered as part of the efforts to obtain faster and more efficient solutions for large problems of computational electromagnetics. For the translation operator, this paper presents the choice of the parameters for optimal interpolation. Also, for the aggregation and disaggregation processes, the interpolation matrices are discussed and an efficient way of improving the accuracy by employing the poles are introduced