摘要
本文提出用保角变换边界元法计算含有无限大电极系统的二维静电场边值问题。保角变换将无限大电极系统的无穷边界无界场域边值问题变换为有界场域边值问题，再利用具有诸多优点的边界元法进行求解，充分发挥保角变换和边界元法的各自优势，拓宽二者的求解范围。通过对两类未屏蔽板线的实例计算结果表明：组合法不仅可节省大量的计算机资源，而且具有较高的计算精度，可以很方便地应用于工程问题的设计与计算。
This paper describes a new approach to the solution of two dimensional boundary value problems with infinite boundaries which combines the advantages of both conformal transformation and boundary element method. The conformal transformation is firstly used to transform the infinite boundaries into the finite boundaries and then the boundary element method is applied to the computation of transformed boundary value problems with finite boundaries. Boundary value problems previously regarded as very difficult become tractable, and considerable saving in the computation time and the computer storage requirements are achieved. Excellent agreement with results obtained previously is presented.
出处
《电工电能新技术》
CSCD
1999年第2期37-39,F004,共4页
Advanced Technology of Electrical Engineering and Energy
基金
云南省应用基础研究基金
关键词
电磁场
数值计算
无限大电极系统
边界元法
conformal transformation, boundary element method, infinite plane electrode
