一种改进的无网格局部Petrov-Galerkin方法  

A Modified Meshless Local Petrov-Galerkin Method for the Elasticity Problem

作　　者：胡玮军[1] 夏平[2] 刘凯远[2] 

机构地区：[1]邵阳学院机械工程系,湖南邵阳422000 [2]湖南大学力学与航空航天学院,湖南长沙410082

出　　处：《邵阳学院学报（自然科学版）》2008年第3期33-36,共4页Journal of Shaoyang University：Natural Science Edition

摘　　要：本文提出了一种改进的无网格局部Petrov-Galerkin方法来分析平面弹性力学问题.这种无网格方法采用移动最小二乘近似函数(MLS)来近似试函数,采用Heaviside函数作为加权残值法中的权函数,采用直接插值法来施加本质边界条件.最后通过数值实例表明平面弹性力学问题中改进的无网格Petrov-Galerkin方法具有收敛快、稳定性好、精度高和简单有效的特点.The paper presents a modified local Petrov-Galerkin method for analysis of the elasticity problem. The meshless method uses the moving least squares （MLS） approximation, uses the Heaviside function as a test function of the weighted residual method and uses direct interpolation method to enforce essential boundary conditions. Numerical results show that the present method possesses not only feasibility and validity, but also high accuracy and good performance of convergence for the elasticity problem.

关 键 词：无网格局部PETROV-GALERKIN方法 MLS Heaviside函数 直接插值法 

分 类 号：O343[理学—固体力学]