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多层快速多极子算法中的两步插值技术
引用本文:向道朴,周东明,何建国.多层快速多极子算法中的两步插值技术[J].计算物理,2011,28(2):237-242.
作者姓名:向道朴  周东明  何建国
作者单位:国防科技大学电子科学与工程学院,湖南,长沙,410073
基金项目:武器装备预研重点基金项目
摘    要:多层快速多极子算法(MLFMA)在快速多极子算法(FMM)的基础上按多层聚集、层间转移和多层扩散的思路以达到优化矩阵向量积的运算的目的,其中多层聚集和多层扩散过程,随着层数递增,角谱积分采样点数逐层递增,为了快速计算角谱积分,需要采用插值技术和反插值技术以提高计算效率.应用两步插值技术替代传统的单步插值技术,大幅提高了...

关 键 词:插值反插值  电大尺寸问题  多层快速多极子

Two-step Interpolation Method for Multilevel Fast Multipole Algorithm
XIANG Daopu,ZHOU Dongming,HE Jianguo.Two-step Interpolation Method for Multilevel Fast Multipole Algorithm[J].Chinese Journal of Computational Physics,2011,28(2):237-242.
Authors:XIANG Daopu  ZHOU Dongming  HE Jianguo
Institution:XIANG Daopu,ZHOU Dongming,HE Jianguo(School of Electronics Science and Engineering,National University of Defense Technology,Changsha 410073,China)
Abstract:A multilevel fast multipole algorithm(MLFMA),based on fast multipole method(FMM),is implemented with aggregation,translation and disaggregation stages to optimize computational complexity.Local interpolations are required in aggregation and disaggregation stages of MLFMA in order to match sampling rates of radiated and incoming fields in consecutive levels.A conventional one-step method is decomposed into two one-dimensional interpolations applied successively.Due to significant acceleration in processing t...
Keywords:interpolation and anterpolation  large-scale problem  multilevel fast multipole algorithm  
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