基于MATLAB对二维混合边界静电场域的分析  

Based on MATLAB for two-dimensional mixed boundary electrostatic field analysis

作　　者：李小兵[1] 

机构地区：[1]兰州交通大学,电子与信息工程学院,甘肃兰州730070

出　　处：《电子测试》2012年第9期24-27,52,共5页Electronic Test

摘　　要：本文分析了有限差分法的原理与概念,讨论了电磁场问题涉及3种类型的边界条件,采用有限差分数值计算分析边界问题,对二维混合型边界静电场进行分析,用MATLAB编程计算差分方程,并将超松弛迭代法引入到差分方程的计算,并与简单迭代方法进行比较,同样的计算精度下采用超松弛法不仅节省存储空间,而且加快了收敛速度。通过计算可以看出MATLAB在解决实际的工程和数学问题中,具有使用更为简便、语句功能更强的特点,能直观地演示二维混合边界静电场的电势分布图和场强立体分布图。This paper analyzes the principles and concepts of the finite difference method, the electromagnetic field problem involves three types of boundary conditions using finite difference numerical calculation and analysis of border issues, to analyze the electrostatic field of two-dimensional mixed-type boundary and calculate the differential equations using MATLAB programming.and overrelaxation iterative method is introduced into the calculation of the differential equation and compared with the simple iterative method, using the same calculation accuracy overrelaxation method not only saves storage space, and the speed of convergence. It can be seen by calculating the Matlab in solving practical engineering, and mathematics problem, easier to use, the statement is more powerful, and visually demonstrate the two-dimensional mixed boundary electrostatic field potential maps and field strength three-dimensional maps.

关 键 词：电磁场 有限差分法 边界条件 MATLAB 超松弛法 

分 类 号：O441[理学—电磁学]