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Parallelization on Heterogeneous Multicore and Multi-GPU Systems of the Fast Multipole Method for the Helmholtz Equation Using a Runtime System

Authors:
Cyril Bordage

Keywords: Fast multipole method (FMM); Helmholtz equation; heterogeneous architecture; parallel algorithm.

Abstract:
The Fast Multipole Method (FMM) is considered as one of the top ten algorithms of the 20th century. The FMM can speed up solving of electromagnetic scattering problems. With N being the number of unknowns, the complexity usually O(N 2) becomes O(N log N ) allowing a problem with hundreds of millions of complex unknowns to be solved. The FMM applied in our context has a serious drawback: the parallel version is not very scalable. In this paper, we present a new approach in order to overcome this limit. We use StarPU, a runtime system for heterogeneous multicore architectures. Thus, our aim is to have good efficiency on a cluster with hundreds of CPUs, and GPUs. Much work have been done on parallelization with advanced distribution techniques but never with such a runtime system. StarPU is very useful, especially for the multi-level algorithm on a hybrid machine. At present, we have developed a multi-core and a GPU version. The techniques for distributing and grouping the data are detailed in this paper. The first results of the strategy used are promising.

Pages: 90 to 95

Copyright: Copyright (c) IARIA, 2012

Publication date: September 23, 2012

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-237-0

Location: Barcelona, Spain

Dates: from September 23, 2012 to September 28, 2012