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FMM算法中问题规模与空间划分的关系分析 被引量:2

Analysis on relation between question scale and expansion in FMM
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摘要 从编译优化和并行优化的角度出发,根据N-Body问题求解的FMM算法的原理,将算法分解为不同的子模块。详细分析了各子模块的计算特性,包括计算量分析、并行性分析、通信量分析和存储量分析。深入剖析问题规模与空间划分层数之间的关系,提出基于问题规模的空间划分策略。以实验验证了空间划分策略的可行性。 According to the calculation theory of FMM algorithm,and considering its parallel optimization and compiler optimization,this paper divides this algorithm into different sub-modules.The computing characteristics of every sub-modules,including calculation load,parallelism,communication and storage,are analyzed in detail.Based on the deep analysis of relationship between the N-Body question scale and octree level,a strategy of hierarchical space decomposition associating with question scale is presented.The experiments validate the correctness and feasibility of the presented strategy.
作者 曹旻 杨彩霞
出处 《计算机工程与应用》 CSCD 北大核心 2011年第25期39-43,共5页 Computer Engineering and Applications
基金 国家高技术研究发展计划(863)(No.2009AA012201-CFA2009SHDX02) 上海市重点学科建设项目(No.J50103)~~
关键词 编译优化 N体(N-Body)问题求解 快速多极子方法(FMM) 空间划分树 compiler optimization N-Body Fast Multipole Method hierarchical space decomposition with an octree
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参考文献7

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