摘要
系统研究并比较了基于核函数解析展开的解析快速多极方法(FMM)和基于等效源近似的核无关快速多极方法(KIFMM)的快速计算原理.在此基础上,研究了KIFMM中等效源近似与解析FMM中核函数解析展开的关系,推导了KIFMM中等效源近似对应的函数展开形式,通过对比及近似处理,将两者统一到同一核函数展开理论的框架之下,从而实现快速便捷的计算.最后,利用算例的计算结果验证了本文理论研究的正确性.
In the paper, the analytic fast multipole method(FMM) based on the analytical expansion of kernel function and the kernel-independent fast multipole method(KIFMM) based on equivalent source approximation are studied systematically and compared with each other. On this basis, this paper discusses the relationship between the equivalent source approximation in KIFMM and the analytical expansion of kernel function in FMM, and derives the function expansion of equivalent source approximation in KIFMM.By comparison and approximation, the theories of analytic FMM and KIFMM are unified under the framework of the same kernel function expansion theory to realize fast and convenient calculation. Finally,the correctness of the theoretical research in the paper is verified by the calculation results of calculation examples.
作者
刘青
李世俊
武伟
LIU Qing;LI Shijun;WU Wei(School of Astronautics,Northwestern Polytechnical University,Xi’an,China 710072;158 Mailbox of Baoji City,Baoji,China 721000)
出处
《温州大学学报（自然科学版）》
2022年第3期1-9,共9页
Journal of Wenzhou University(Natural Science Edition)
关键词
快速多极方法
核函数展开
快速计算
Fast Multipole Method
Expansion of Kernel Function
Fast Calculation
