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二维边界元法的新算法
引用本文:蒋豪贤 梁峰. 二维边界元法的新算法[J]. 华南理工大学学报(自然科学版), 1996, 24(1): 131-137
作者姓名:蒋豪贤 梁峰
作者单位:华南理工大学电力学院
摘    要:本文提出一种二维边界元法的算法。主要是提出新的离散方法,可以大大地节省内存,提高运算速度,系数矩阵元素计算不用高斯积分公式,而用坐标变换的方法导出一个新公式,减少了运算量,提高了计算精度,最后介绍了本文方法的实施。

关 键 词:边界元法 基本解 坐标变换 偏微分方程 离散法

A NEW ALGORITHM OF TWO-DIMENTIONAL BOUNDARY ELEMENT METHOD
Jiang Haoxian,Liang Feng,He Zhiwei,Chen Xuehui. A NEW ALGORITHM OF TWO-DIMENTIONAL BOUNDARY ELEMENT METHOD[J]. Journal of South China University of Technology(Natural Science Edition), 1996, 24(1): 131-137
Authors:Jiang Haoxian  Liang Feng  He Zhiwei  Chen Xuehui
Affiliation:Electric Power College.South China Univ.of Tech.
Abstract:This paper presents a new algorithm of the two-dimentional Boundary Element thod(BEM).By a new way to discretizate the boundary integral equation,the requirement of internal storages is prominently reduced,and the numerical accuracy is also improved.Instead of using the Gauss integral formula,we deduce a set of new formulas by means of coordinate transformation,which have the advantage of reducing the amount of calculation and improving the numerical accuracy.At the end of the paper,the achievement of this new algorithm is introduced.
Keywords:s:BEM  fundamantal solution  discreization method  coordinate transformation
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