Quasi-optimal complexity of adaptive finite element method for linear elasticity problems in two dimensions

被引：0
|
作者：
Chunmei LIU [1 ]
Liuqiang ZHONG [2 ]
Shi SHU [3 ]
Yingxiong XIAO [4 ]
机构：
[1] Institute for Computational Mathematics, College of Science, Hunan University of Science and Engineering
[2] School of Mathematical Sciences, South China Normal University
[3] School of Mathematics and Computational Science, Xiangtan University
[4] College of Civil Engineering and Mechanics, Xiangtan University
来源：
Applied Mathematics and Mechanics(English Edition) | 2016年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
linear elasticity problem; adaptive finite element method(AFEM); quasioptimal complexity;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
This paper introduces an adaptive finite element method(AFEM) using the newest vertex bisection and marking exclusively according to the error estimator without special treatment of oscillation. By the combination of the global lower bound and the localized upper bound of the posteriori error estimator, perturbation of oscillation,and cardinality of the marked element set, it is proved that the AFEM is quasi-optimal for linear elasticity problems in two dimensions, and this conclusion is verified by the numerical examples.
引用
收藏
页码：151 / 168
页数：18
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