Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems

被引:86
|
作者
Ozgur, Erguel [1 ]
Gurel, Levent
机构
[1] Bilkent Univ, Dept Elect & Elect Engn, TR-06800 Bilkent, Turkey
关键词
electromagnetic scattering; fast solvers; integral equations; multilevel fast multipole algorithm (MLFMA); parallel algorithms;
D O I
10.1109/TAP.2008.926757
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We present fast and accurate solutions of large-scale scattering problems involving three-dimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient parallelization of MLFMA, scattering problems that are discretized with tens of millions of unknowns are easily solved on a cluster of computers. We extensively investigate the parallelization of MLFMA, identify the bottlenecks, and provide remedial procedures to improve the efficiency of the implementations. The accuracy of the solutions is demonstrated on a scattering problem involving a sphere of radius 110 lambda discretized with 41 883 638 unknowns, the largest integral-equation problem solved to date. In addition to canonical problems, we also present the solution of real-life problems involving complicated targets with large dimensions.
引用
收藏
页码:2335 / 2345
页数:11
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