| 无网格伽辽金法在静电场中的应用 |
| |
| 引用本文： | 翟允,夏茂辉,李俊贤. 无网格伽辽金法在静电场中的应用[J]. 河南科技大学学报(自然科学版), 2008, 29(3): 91-94 |
| |
| 作者姓名： | 翟允 夏茂辉 李俊贤 |
| |
| 作者单位： | 燕山大学,理学院,河北,秦皇岛,066004 |
| |
| 基金项目： | 扬州大学校科研和教改项目 |
| |
| 摘 要： | 无网格伽辽金法(EFGM)是近几年发展起来的与有限元相似的数值算法,并在电磁场分析中得到初步的应用.本文采用移动的最小二乘法构造形函数,从能量泛函的弱变分形式中得到控制方程,并用Lagrange乘子处理本质边界条件,从而得到数值解.基于MATLAB平台实现了一维静电场中的EFGM算法,并与解析解进行比较,结果表明了EFGM算法的正确性和有效性.
|
| 关 键 词： | 无网格 移动最小二乘法 Lagrange乘子 静电场数值分析 |
| 文章编号： | 1672-6871(2008)03-0091-04 |
| 修稿时间： | 2007-10-28 |
Application of EFGM to Numerical Computations of Electrostatic Field |
| |
| ZHAI Yun,XIA Mao-Hui,LI Jun-Xian. Application of EFGM to Numerical Computations of Electrostatic Field[J]. Journal of Henan University of Science & Technology:Natural Science, 2008, 29(3): 91-94 |
| |
| Authors: | ZHAI Yun XIA Mao-Hui LI Jun-Xian |
| |
| Affiliation: | ZHAI Yun,XIA Mao-Hui,LI Jun-Xian (Science College,Yanshan University,Qinhuangdao 066004,China) |
| |
| Abstract: | Element free Galerkin method,similar to FEM,is a new numerical method,and is initially applied to the electromagnetic field.In this paper,shape function is constructed by moving least squares method.Control equations are produced from the weak form of variational equation.Lagrange multipliers are used to satisfy essential boundary conditions,the numerical solutions are made out.And a one-dimensional electrostatic example programmed in MATLAB is given to show that the algorithm is correct and effective. |
| |
| Keywords: | MATLAB |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
