用线性边界元分析二维静电场问题  

The Linear Boundary Element Method of Calculating the Problems of 2D Electrostatic Field

作　　者：帅春江[1] 郑勤红[1] 姚斌[1] 刘玲丽[1] 张学庆[1] 

机构地区：[1]云南师范大学物理与电子信息学院,云南昆明650092

出　　处：《云南师范大学学报（自然科学版）》2006年第5期37-41,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金(10365002);云南省自然科学基金(2004A0028M);云南省教委自然科学基金(03Z321A)资助项目

摘　　要：从二维拉普拉斯方程的积分解和线性插值函数出发,推导出二维静电场边值问题的线性单元的边界元方程及电位、场强计算公式。编制用线性边界元法分析了二维静电场边值问题计算程序,并对几个算例进行了计算。所获得的计算结果与相关文献中所报道的数据吻合较好,表明该方法的有效性;同时还分析计算了十字形内导体-圆外导体特种同轴传输线的电位、场强和特性阻抗。In this paper,the boundary element equation of linear segment is derived from the integral solution of 2D Laplace equation and linear interpolating function,and the formulas of potential and electric field intensity are also given. A general computer program based on the linear boundary element method（LBEM） is programed,and three represented computational examples are given to validate the method. The calculation results are well in agreement with that of the previous published data. It has been shown that the LBEM is an effective method to analyze electrostatic field problems. The potential, intensity of electric field and characteristic impedance of transmission line, which is consisting of crisscross and circular conductors, is also analyzed.

关 键 词：线性边界元 二维静电场 电场强度 特性阻抗 

分 类 号：O451[理学—无线电物理]