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无网格法剖析及基扩充EFG法在电磁计算中的应用
引用本文:尹华杰,吴建华.无网格法剖析及基扩充EFG法在电磁计算中的应用[J].计算物理,2004,21(1):68-76.
作者姓名:尹华杰  吴建华
作者单位:1. 华南理工大学电力学院,广东,广州,510640
2. 浙江大学电气工程系,浙江,杭州,310027
基金项目:SupportedbytheNationalNaturalScienceFoundationofChina(Grantno 5 0 10 70 0 3 )
摘    要:主要论述基扩充的无网格法(MLM)用于2D电磁问题计算时的具体算法及编程问题。以独特的分步骤操作方法,介绍了无网格方法;从数值拟合的角度,对无网格伽辽金法(EFG)的核心技术——移动最小二乘法进行了深入剖析;严格按照加权余量法原理,利用偏微分方程的余量加权在节点支持域上的积分,导出了基扩充的EFG离散格式;应用FEM和基扩充的EFG两种方法对一些实例进行了计算验证。

关 键 词:无网格法  基扩充  电磁场  无网格伽辽金法  EFG  移动最小二乘法  加权余量法  FEM

Deep Insight into Meshless Method and Application of Base-enriched EFG in EM Field Computation
Abstract.Deep Insight into Meshless Method and Application of Base-enriched EFG in EM Field Computation[J].Chinese Journal of Computational Physics,2004,21(1):68-76.
Authors:Abstract
Abstract:Algorithm and programming by using base\|enriched EFG method to solve 2D electromagnetic problems are addressed.Differential from other literatures, the EFG discrete form is obtained strictly from the integration of the weighted residual of the partial differential equation over the support domain of each node in a very straightforward way here. A deep insight into the kernel technique of EFG,the moving least square(MLS) method, is also presented from a data fit viewpoint. Computation is made for examples by using both the EFG and the FEM methods for comparison and demonstration purposes.
Keywords:meshless method  electromagnetic field  FEM  base\|enrichment  EFG
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