M.G.Araújo, J.M.Taboada, F.Obelleiro y J.M.Bértolo, L.Landesa y J.Rivero, J.L.Rodríguez: «Supercomputer aware approach for the solution of challenging electromagnetic problems«. ISSN: 1070-4698, E-ISSN: 1559-8985. Progress In Electromagnetics Research, PIER 101, 241–256, 2010.
Abstract
It is a proven fact that The Fast Fourier Transform (FFT) extension of the conventional Fast Multipole Method (FMM) reduces the matrix vector product (MVP) complexity and preserves the propensity for parallel scaling of the single level FMM. In this paper, an efficient parallel strategy of a nested variation of the FMMFFT algorithm that reduces the memory requirements is presented. The solution provided by this parallel implementation for a challenging problem with more than 0.5 billion unknowns has constituted the world record in computational electromagnetics (CEM) at the beginning of 2009.