物理学报2012，Vol.61Issue(5)：21-28,8.
弹性力学的复变量无网格局部Petrov-Galerkin法
Meshless local Petrov-Galerkin method with complex variables for elasticity
摘要
Abstract
In this paper, the shape functions are obtained by the moving least-squares method with complex variable （MLSCV）. The advantages of MLSCV are that the approximation function of a two-dimensional （2D） problem is formed with one-dimensional （ID） basis function, and the number of the undetermined coefficients is reduced, so it effectively improves the computational efficiency. Based on the MLSCV and meshless local Petrov-Galerkin method, the essential boundary conditions are imposed by the penalty method and the corresponding discrete equations are derived, then a meshless local Petrov-Galerkin method with complex variables is presented for 2D elasticity problems. Some examples given in this paper demonstrate the effictiveness of the present method.关键词
无网格法/复变量移动最小二乘法/无网格局部Petrov-Galerkin法/弹性力学问题Key words
meshless method/moving least-squares method with complex variables/meshless local Petrov- Galerkin method/elasticity分类
数理科学引用本文复制引用
杨秀丽,戴保东,栗振锋..弹性力学的复变量无网格局部Petrov-Galerkin法[J].物理学报,2012,61(5):21-28,8.基金项目
国家自然科学基金（批准号：51078250）资助的课题. （）
