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PIER PIER B PIER C PIER M PIER Letters
2011-01-13
On Openmp Parallelization of the Multilevel Fast Multipole Algorithm
By
Xiao-Min Pan,

    Dr. Xiao-Min Pan

    School of Information and Electronics

    Beijing Institute of Technology

    China

    Homepage

Wei-Chao Pi,

    Dr. Wei-Chao Pi

    School of Information and Electronics

    Beijing Institute of Technology

    China

    Homepage

Xin-Qing Sheng

    Professor Xin-Qing Sheng

    School of Information Science and Technology

    Beijing Institute of Technology

    China

    Homepage

Progress In Electromagnetics Research, Vol. 112, 199-213, 2011
doi:10.2528/PIER10120802
Abstract
Compared with MPI, OpenMP provides us an easy way to parallelize the multilevel fast multipole algorithm (MLFMA) on shared-memory systems. However, the implementation of OpenMP parallelization has many pitfalls because different parts of the MLFMA have distinct numerical characteristics due to its complicated algorithm structure. These pitfalls often cause very low efficiency, especially when many threads are employed. Through an in-depth investigation on these pitfalls with analysis and numerical experiments, we propose an efficient OpenMP parallel MLFMA. Three strategies are proposed in the parallelization, including: 1) the choice of OpenMP schedule manners; 2) loop reorganization for far-field interaction in the MLFMA; 3) determination of a transition level. Numerical experiments on large scale targets show the proposed OpenMP parallel scheme can perform as efficiently as the MPI counterpart, and much more efficiently than the straightforward OpenMP parallel one.
Citation
Xiao-Min Pan, Wei-Chao Pi, and Xin-Qing Sheng, "On Openmp Parallelization of the Multilevel Fast Multipole Algorithm," Progress In Electromagnetics Research, Vol. 112, 199-213, 2011.
doi:10.2528/PIER10120802
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