电工技术学报2018，Vol.33Issue(7)：1579-1587,9.DOI:10.19595/j.cnki.1000-6753.tces.170548
广义有限差分法在静态电磁场计算中的应用
Application of the Generalized Finite Difference Method to Static Electromagnetic Problems
摘要
Abstract
The generalized finite difference method (GFDM) is a new type of regional meshless discrete method. Based on the multivariate Taylor series expansion and the weighted least-squares fitting, the method expressed the partial derivative of unknown parameters in the governing function to a linear combination of adjacent node function values, which overcomes the dependence of the traditional finite difference method on the mesh. In this paper, the meshless generalized finite difference method is applied to the numerical simulation of static electromagnetic field problems. And the numerical discrete scheme of the method for static electromagnetic field problem is established. In order to verify the effectiveness of the proposed algorithm, the difference between GFDM method and the finite element method in dealing with the regular domain and the complex domain is comparative analysed. The results show that the algorithm of GFDM is stable and efficient for the different solution domain, and can achieve high computational accuracy.关键词
无网格法/广义有限差分法/电磁场问题/泰勒级数展开/加权最小二乘拟合Key words
Meshless/generalized finite difference method/electromagnetic/Taylor series expansion/weighted least-squares fitting分类
信息技术与安全科学引用本文复制引用
陈剑,刘春明,王茂海,葛小宁,刘连光..广义有限差分法在静态电磁场计算中的应用[J].电工技术学报,2018,33(7):1579-1587,9.基金项目
国家重点研发计划项目(2016YFC0800103)和国家自然科学基金(51677068, 51577060)资助. （2016YFC0800103）
