Solving problems with over one billion unknowns by the MLFMA

Xiao Min Pan; Wei Chao Pi; Ming Lin Yang; Zhen Peng; Xin Qing Sheng

doi:10.1109/TAP.2012.2189746

Solving problems with over one billion unknowns by the MLFMA

Xiao Min Pan^*, Wei Chao Pi, Ming Lin Yang, Zhen Peng, Xin Qing Sheng

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

91 Citations (Scopus)

Abstract

Using OpenMP to further accelerate the pure MPI parallel MLFMA, an efficient and flexible parallel multilevel fast multipole algorithm (MPI-OpenMP-MLFMA) is proposed. Compared with previous MPI parallel schemes, the MPI-OpenMP-MLFMA improves the load-balance and scalability greatly. The computational capability of the proposed MPI-OpenMP-MLFMA is demonstrated by computing scattering from two extremely large targets: a sphere with a diameter of 1200 wavelengths, modeled by 1,063,706,700 unknowns, and an airplane model with the largest dimension of 1600 wavelengths, involving 288,151,344 unknowns.

Original language	English
Article number	6164224
Pages (from-to)	2571-2574
Number of pages	4
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	5
DOIs	https://doi.org/10.1109/TAP.2012.2189746
Publication status	Published - 2012

Keywords

Electromagnetic scattering
MPI
OpenMP
parallelization
shared memory systems

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10.1109/TAP.2012.2189746

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Pan, X. M., Pi, W. C., Yang, M. L., Peng, Z., & Sheng, X. Q. (2012). Solving problems with over one billion unknowns by the MLFMA. IEEE Transactions on Antennas and Propagation, 60(5), 2571-2574. Article 6164224. https://doi.org/10.1109/TAP.2012.2189746

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author = "Pan, {Xiao Min} and Pi, {Wei Chao} and Yang, {Ming Lin} and Zhen Peng and Sheng, {Xin Qing}",

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AB - Using OpenMP to further accelerate the pure MPI parallel MLFMA, an efficient and flexible parallel multilevel fast multipole algorithm (MPI-OpenMP-MLFMA) is proposed. Compared with previous MPI parallel schemes, the MPI-OpenMP-MLFMA improves the load-balance and scalability greatly. The computational capability of the proposed MPI-OpenMP-MLFMA is demonstrated by computing scattering from two extremely large targets: a sphere with a diameter of 1200 wavelengths, modeled by 1,063,706,700 unknowns, and an airplane model with the largest dimension of 1600 wavelengths, involving 288,151,344 unknowns.

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Solving problems with over one billion unknowns by the MLFMA

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