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一种数值算法,它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.本文讨论了无网格的两种处理本征边界条件的方法:拉格朗日乘子法和引入罚参数的方法.讨论了用不同的基函数对插值函数及对无单元法的计算精度的影响,并用算例说明了处理本征边界条件和基函数不同时的影响.
Element free Galerkin method （EFGM） , similar to FEM, is a new numerical method, developed recently. In EFGM,in order to get a numerical solution for a partial differential equation, shape function is constructed by Moving Least Square（MLS） , control equation produced from the weak form of variational equation, this text discussed two meshless methods to enforce the essential boundary conditions. One is Lagrange method, the other is penalty parameters method, the numerical results of linear and quadratic basis functions were compared and some suggestions on the choice of basis functions were lodged, and by using two samples their effect on conclusions are presented.
出处
《南昌大学学报（工科版）》
CAS
2005年第3期38-40,共3页
Journal of Nanchang University(Engineering & Technology)
关键词
无网格伽辽金法
基函数
本征边界条件
element free galerkin methed
basis funtions
the essential boundary conditions
