New Parallel Approaches for Fast Multipole Solvers

In [4] we presented a new asynchronous kernel-independent parallel multilevel fast multipole algorithm (MLFMA), applied to full-wave electromagnetic simulations in two dimensions and in the time-harmonic domain. In this contribution, we report the progress in the extension of this work to three dimensions. An asynchronous algorithm becomes indispensable when more complicated geometries are considered, with multiple dielectrics and conductors, possibly attached to or embedded into each other. Previous efforts in literature were largely focused on single, perfect electric conducting (PEC) objects. The underlying method of moments (MoM) makes use of the Rao-Wilton-Glisson (RWG) basis functions and the conventional choices for the boundary integral equations (BIE). The MLFMA algorithm is applied to a variety of three dimensional simulations, demonstrating its versatility.