一种自适应影响域半径无网格Galerkin法

Element-free Galerkin method in consideration of self-adaptive radius of influential domain

针对某些力学问题的数值求解需要结点的局部加密,在采用背景积分网格积分方式的基础上,提出一种影响域半径随结点疏密程度而变化的自适应影响域半径无网格Galerkin法。在方法中,无网格结点与背景积分网格的结点重合,结点的影响域半径即可根据该结点周围的网格的最大边长来选取。算例显示,该文方法是可行而有效的。

An element-free Galerkin method (EFGM) in consideration of the self-adaptive radius of influential domain is presented based on the background finite element mesh used for quadrature. In the method,the radius of influential domain is adjusted according to the density of nodes. All nodes are coincided with the background finite element nodes. The radius of influential domain for a node can be chosen in terms of the largest length in the elements surrounding the node. Numerical examples show that the method is practicable and effective.