Recent advances in fast multipole methods to simulate ever larger and more complex structures

In this paper we wish to focus on some recent advances in the Multilevel Fast Multipole Algorithm (MLFMA). Three different topics will be discussed briefly: a seamless extension of the MLFMA to low frequencies, an asynchronous parallelization of the MLFMA suitable for grid computing environments and a new Calderon based preconditioner for the Electric Field Integral Equation (EFIE). This will be illustrated by three scattering examples in frequency and time domain