二维位势边界元技术的共轭函数法

计算物理 ›› 1989, Vol. 6 ›› Issue (2): 191-196.

二维位势边界元技术的共轭函数法

禤启沃, 吴兹潜

中山大学计算机科学系, 广州

收稿日期:1988-01-13 出版日期:1989-06-25 发布日期:1989-06-25

THE METHOD OF CONJUGATE FUNCTION FOR BOUNDARY ELEMENT TECHNIQUE

Xuan Qiwo, Wu Ciquian

Computer Science Department Zhongshan University, Guangzhou

Received:1988-01-13 Online:1989-06-25 Published:1989-06-25

摘要/Abstract

摘要： 文[2,3]的工作表明边界无法[1](BEM,下同)是计算微带线特征阻抗的一种省内存、高精度的算法。本文利用共轭调和函数所满足的边界积分方程(BIE,下同),提出用两个BIE对应的离散方程组解平面调和方程混合边界值问题(1)。数值试验表明,经过这样处理的BEM,比常规BEM具有更高的精度,而计算时间和所需内存几乎不变。

Abstract: Boundary element method (BEM) is usually done by only one boundary integral equation (BIE).The ordinary BIE for potential in the plane is of the second kind for potential U, but is of the first kind for potential derivative ∂_Ω.In order to result in diagonal dominance of the control system of equations of BEM for mixed boundary value problem, we present an improvements that using the ordinary control system on the NEUMANN boundary segment,but the control system of the conjugate harmonic function on the DIRICHLET boundary segment.Some examples for computing the capacitance density of two-wire transmission lines are given.which indicate the method of conjugate function has higher accuracy than ordinary BEM.

禤启沃, 吴兹潜. 二维位势边界元技术的共轭函数法[J]. 计算物理, 1989, 6(2): 191-196.

Xuan Qiwo, Wu Ciquian. THE METHOD OF CONJUGATE FUNCTION FOR BOUNDARY ELEMENT TECHNIQUE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 6(2): 191-196.