## 留言板

 引用本文: 吴海军, 蒋伟康, 刘轶军. 基于Burton-Miller边界积分方程的二维声学波动问题对角形式快速多极子边界元及其应用[J]. 应用数学和力学, 2011, 32(8): 920-933.
WU Hai-jun, JIANG Wei-kang, LIU Yi-jun. Diagonal Form Fast Multipole Boundary Element Method for 2D Acoustic Problems Based on Burton-Miller BIE Formulation and Its Applications[J]. Applied Mathematics and Mechanics, 2011, 32(8): 920-933. doi: 10.3879/j.issn.1000-0887.2011.08.003
 Citation: WU Hai-jun, JIANG Wei-kang, LIU Yi-jun. Diagonal Form Fast Multipole Boundary Element Method for 2D Acoustic Problems Based on Burton-Miller BIE Formulation and Its Applications[J]. Applied Mathematics and Mechanics, 2011, 32(8): 920-933.

## 基于Burton-Miller边界积分方程的二维声学波动问题对角形式快速多极子边界元及其应用

##### doi: 10.3879/j.issn.1000-0887.2011.08.003

###### 作者简介:吴海军(1984- ),男,安徽宿州人,博士生(E-mail:navy_wu@sjtu.edu.cn);蒋伟康(1961- ),男,上海人,教授,博士,博士生导师(联系人.Tel:+86-21-34206332-824;E-mail:wkjiang@sjtu.edu.cn).
• 中图分类号: O422;O429

## Diagonal Form Fast Multipole Boundary Element Method for 2D Acoustic Problems Based on Burton-Miller BIE Formulation and Its Applications

• 摘要: 论述了二维声学问题的快速多极子边界元（FMBEM）方程及实现步骤．概述了核函数展开理论，并对FMBEM的4个重要组成部分：源点矩计算、源点矩转移、源点矩至本地展开转移、本地展开转移进行了详细的描述．提出了一种有利于四叉树建立的数据结构．推导了一种比直接数值计算更精确、稳定和高效的解析源点矩计算公式．数值算例验证了FMBEM的正确性和高效性．最后，使用FMBEM对轨道二维声学辐射模型进行了模拟计算．
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##### 出版历程
• 收稿日期:  2010-06-10
• 修回日期:  2011-05-10
• 刊出日期:  2011-08-15

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