Locking-free nonconforming finite elements for three-dimensional elasticity problem

被引：2
|
作者：
Xiao, Liu-Chao [1 ]
Yang, Yong-Qin [2 ]
Chen, Shao-Chun [2 ]
机构：
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
[2] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期
关键词：
Three-dimensional elasticity; Locking-free; Nonconforming finite element; Error estimate; Uniform convergence; LINEAR ELASTICITY; FAMILY;
D O I：
10.1016/j.amc.2010.12.061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two locking-free nonconforming finite elements are presented for three-dimensional elasticity problem with pure displacement boundary condition. Convergence rate of the elements are uniformly optimal with respect to lambda. The energy norm and L(2) norm errors are O(h(2)) and O(h(3)), respectively. Lastly, a numerical experiment is carried out, which coincides with the theoretical analysis. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：5790 / 5797
页数：8
相关论文
共 50 条
12345