物理学报Issue(18)：1-9,9.DOI:10.7498/aps.63.180203
黏弹性问题的改进的复变量无单元Galerkin方法
Improved complex variable element-free Galerkin metho d for visco elasticity problems
摘要
Abstract
In this paper, based on the improved complex variable least-square (ICVMLS) approximation, the improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional viscoelasticity problems is proposed. The ICVMLS approximation is used to form the shape function, the Galerkin weak form is used to obtain the system equations, and the penalty method is used to impose the essential boundary conditions, then the corresponding formulae of the ICVEFG method for two-dimensional viscoelasticity problems are obtained. Finally, some numerical examples are given, and the numerical results from the ICVEFG method are compared with those from the CVEFG method and finite element method, and the results show that the ICVEFG method in this paper has the high computational precision and efficiency.关键词
无网格方法/复变量移动最小二乘法/改进的复变量无单元Galerkin方法/黏弹性问题Key words
meshless method/complex variable moving least-squares approximation/improved complex variable element-free Galerkin method/viscoelasticity problem引用本文复制引用
彭妙娟,刘茜..黏弹性问题的改进的复变量无单元Galerkin方法[J].物理学报,2014,(18):1-9,9.基金项目
Project supported by the National Natural Science Foundation of China (Grant No.11171208)国家自然科学基金(批准号:11171208)资助的课题 （Grant No.11171208）
