天津工业大学学报2012，Vol.31Issue(6)：85-88,4.
Helmholtz方程问题的快速多极边界元求解方法
Fast multipole boundary element method for Helmholtz equation problems
摘要
Abstract
In order to overcome the difficulties of low computational efficiency and high memory requirement in the conventional boundary element method for solving large-scale Helmholtz equation problems, a fast multipole boundary element method for the problems of Helmholtz equation is presented. Two theorems are obtained based on the multipole expansion and the local expansion of the boundary element method fundamental solutions'Kernel function. What's more, the basic formulas and the main steps of the fast multipole boundary element method are described for 2D and 3D Helmholtz equation problems.关键词
快速多极边界元法/Helmholtz方程/基本解Key words
fast multipole boundary element method/ Helmholtz equation/ fundamental solution分类
数理科学引用本文复制引用
于海源,陈一鸣,于春肖..Helmholtz方程问题的快速多极边界元求解方法[J].天津工业大学学报,2012,31(6):85-88,4.基金项目
河北省自然科学基金项目(A2011203020) （A2011203020）
河北省高等学校科学技术研究重点项目(ZD2010116) （ZD2010116）
