移动最小二乘无网格方法

Moving Least Square Meshless Method

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。

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.