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移动最小二乘无网格方法
引用本文:吴兰枫,韩英仕,郭鹏飞.移动最小二乘无网格方法[J].辽宁工学院学报,2005,25(5):321-323.
作者姓名:吴兰枫  韩英仕  郭鹏飞
作者单位:辽宁工学院土木建筑系,辽宁锦州121001
摘    要:介绍移动最小二乘法的基本原理和近似函数的构造方法,并应用配点法和最小二乘原理,提出了一种基于移动最小二乘思想的最小二乘配点型无网格方法.该方法的实施不需要背景网格,不需要进行高斯积分,具有计算量小、边界条件处理简单的特点,是一种真正的无网格方法.

关 键 词:无网格方法  移动最小二乘法  配点法  最小二乘原理
文章编号:1005-1090(2005)05-0321-03
收稿时间:2005-04-22
修稿时间:2005年4月22日

Moving Least Square Meshless Method
WU Lan-feng,HAN Ying-shi,GUO Peng-fei.Moving Least Square Meshless Method[J].Journal of Liaoning Institute of Technology(Natural Science Edition),2005,25(5):321-323.
Authors:WU Lan-feng  HAN Ying-shi  GUO Peng-fei
Affiliation:Dept. of Civil Engineering, Liaoning Institute of Technology, Jinzhou 121001, China
Abstract:The basic principle of moving least square method and approximate function structure method were introduced.Using point collocation method and the principle of moving least square method,one moving least square & point collocation meshless method based on moving least square thought was proposed.The implementation of this method does not need background mesh,does not need to carry on Gauss integral.The characteristic of this method is small in calculating amount and simple in boundary condition processing,which is a true meshless method.
Keywords:meshless method  moving least square method  point collocation method  principle of least square method
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