MASSIVELY PARALLEL MULTILEVEL FAST MULTIPOLE ALGORITHM FOR EXTREMELY LARGE-SCALE ELECTROMAGNETIC SIMULATIONS: A REVIEW

Wei-Jia He, Xiao-Wei Huang, Ming-lin Yang, X. Sheng
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Abstract

|Since the (cid:12)rst working multilevel fast multipole algorithm (MLFMA) for electromagnetic simulations was proposed by Chew’s group in 1995, this algorithm has been recognized as one of the most powerful tools for numerical solutions of extremely large electromagnetic problems with complex geometries. It has been parallelized with different strategies to explore the computing power of supercomputers, increasing the size of solvable problems from millions to tens of billions of unknowns, thereby addressing the crucial demand arising from practical applications in a sense. This paper provides a comprehensive review of state-of-the-art parallel approaches of the MLFMA, especially on a newly proposed ternary parallelization scheme and its acceleration on graphics processing unit (GPU) clusters. We discuss and numerically study the advantages of the ternary parallelization scheme and demonstrate its (cid:13)exibility and efficiency.
大规模并行多电平快速多极算法在极大规模电磁模拟中的应用综述
自(cid:12) 1995年Chew小组首次提出用于电磁模拟的多层快速多极算法(MLFMA)以来,该算法已被公认为具有复杂几何形状的超大型电磁问题数值解的最强大工具之一。它与不同的策略并行,以探索超级计算机的计算能力,将可解决问题的规模从数百万个增加到数百亿个未知数,从而在某种意义上解决了实际应用中产生的关键需求。本文全面回顾了最先进的MLFMA并行方法,特别是新提出的三元并行化方案及其在图形处理单元(GPU)集群上的加速。我们讨论并数值研究了三元并行化方案的优点,并证明了其(cid:13)的灵活性和效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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