电磁场数值分析的无单元Galerkin方法  

Element free Galerkin method for numerical analysis of electromagnetic fields

作　　者：茅昕光[1] 林鹤云[1] 

机构地区：[1]东南大学电气工程系,南京210096

出　　处：《东南大学学报（自然科学版）》2003年第1期30-33,共4页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目 ( 50 2 770 0 5)

摘　　要：阐述了移动最小二乘无单元Galerkin方法的基本原理及实现过程 ,给出了权函数的选取原则 ,和基于Lagrange乘子法的边界条件处理方法 .结合算例说明了该方法用于电磁场分析的有效性和计算特点 ,并着重研究了影响半径对计算结果的影响 .计算结果表明 ,对于非均匀媒质 ,影响半径应在一个与高斯积分点有关的范围内取值 ,以避免媒质作用的“扩散”而降低计算精度 .The mathematical basis and numerical implementation of the element free Galerkin method based on moving least square approximation are outlined. The rule to choose weight function and the Lagrange multiplier approach to force boundary condition are also given. The validity and computation features of the method in analysis of electromagnetic fields are demonstrated by some sample calculations. The effects of influence radii on the accuracy of calculation result and the computational efficiency have emphatically been investigated. The numerical computations indicate that the influence radii should be taken within a range concerning with Gauss integration point in order to avoid the decrease of the field solution accuracy due to the diffuse of media's effect.

关 键 词：数值分析 GALERKIN 无单元方法 移动最小二乘 电磁场 

分 类 号：TM15[电气工程—电工理论与新技术]