基于Matlab的电场有限元数值计算分析

有限元法是对电磁场进行数值求解的重要方法,也是本科电磁场课程的教学内容之一.论文结合本科教材阐述了对电场进行有限元计算时的数学模型和算法原理,介绍了Matlab软件基本的矩阵处理编程方式和电场场域有限元分析的算法框图.进而联系教材中一个电器的电场电位分布计算实例,在Matlab环境下进行有限元计算编程的实现.数值解与解析解的比较结果表明Matlab应用在对电磁场进行有限元计算所具备的合理性与简易性.本文对本科教学中帮助学生理解电磁场的数值计算及其编程实现有一定的参考意义.

Finite Element Numerical Analysis of Electric Field Based on Matlab

Finite element method is an importment method for electromagnetic field's numerical computation,and it is also the teaching content of electromagnetic field theory course.This paper illustrates the electric field's finite element analysis mathematics model and algorithm fundamentals of textbook.Matlab programming approach for matrix computation and correspond finite element method algorithm flow are followed introduced.An example of one apparatus electric field's voltage distribution in the textbook is fulfilled based on electric field finite element model and Matlab programming.And the difference between the compute results and the analytic results is small,which indicats the above idea is reasonable and conwenient easily implement.The paper is a helpful reference for undergraduates understanding and fullfilling programming of electromagnetic field's numerical computation.