电磁场计算中的MLPG-FE耦合新方法  

A new coupled meshless local petrov-galerkin and finite element (MLPG-FE) method for electromagnetic field computations

作　　者：赵美玲[1,2] 聂玉峰[3] 林世明[4] 

机构地区：[1]华北电力大学理学院 [2]西北工业大学理学院,陕西西安710072 [3]西北工业大学理学院 [4]西北工业大学101研究所

出　　处：《电波科学学报》2006年第6期959-964,共6页Chinese Journal of Radio Science

基　　金：华北电力大学青年教师科研基金资助项目

摘　　要：针对现有各种无网格与有限元耦合思路的利弊,提出一种新的无网格局部Petrov-Galerkin-有限元耦合(MLPG-FE)方法,应用其成功求解了电磁场问题。在有限元与无网格的过渡区域内,对T.Belytschko提出的传统斜坡函数进行改进,使得交界面上求解场变量及其导数的连续性同时得到了保证,且可精确实施第一类边界条件。电磁场数值算例给出了令人满意的结果。Based on an analysis of advantages and disadvantages of existing coupled meshless and finite element methods, a new coupled Meshless local Petrov-Galerkin and finite element （MLPG-FE） method is proposed for the application into electromagnetic field computations. A transition region between the meshless and the finite element method is defined and a new ramp function is chosen in the proposed technique. Comparing with the traditional coupled method, the new method can maintain the continuity of the variable and its derivative simultaneously. Moreover, it can exactly impose Dirichlet boundary conditions. The numerical results of sol- ving electromagnetic problems are presented.

关 键 词：MLPG 有限元方法 耦合方法 电磁场计算 

分 类 号：TM152[电气工程—电工理论与新技术] TM153