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 .
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.
出处
《计算物理》
EI
CSCD
北大核心
2004年第1期68-76,共9页
Chinese Journal of Computational Physics
基金
SupportedbytheNationalNaturalScienceFoundationofChina(Grantno 5 0 10 70 0 3 )
