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一种新的三维位势问题多极边界元离散方法

A New Kind of Discrete Method with FM-BEM about 3D Potential Problem
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摘要 应用快速多极展开法将三维位势问题的边界方程离散.由于在边界方程基本解中,含有奇异项1/r,影响了多极展开(FMM)的应用,笔者利用拉普拉斯变换,可以转换为指数形式序列.这种方法避免了多极展开的奇异性,得到了新的离散解析式,为理论分析多极边界元提供了一种新的方法. By applying fast muhipole expansion, the boundary integral equation about 3D potential problem is made discrete. In boundary, because basic solutions contain singular term , which influences the application of muhipole expansion method, but by Laplace transformation it can be reduced to exponential series. Then this method avoids the originaLity of FMM, gets the new discrete equality and provides a new method for theory analysis of FMM.
作者 刘建平 陈一鸣 于春肖 白思林
机构地区 燕山大学理学院 河北科技师范学院数理系
出处 《郑州大学学报（工学版）》 CAS 2008年第2期114-115,131,共3页 Journal of Zhengzhou University（Engineering Science）
基金 河北省自然科学基金资助项目(E2007000381)
关键词 快速多极展开 拉普拉斯变换 住势问题 基本解 fast muhipole expansion Laplace transformation potential problem basic solution
分类号 O174.4 [理学—基础数学]
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参考文献10

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郑州大学学报（工学版）
2008年 第2期

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