Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems

被引：10

作者：

Chen, Long ^{[1
]}

Hu, Jun ^{[2
,3
]}

Huang, Xuehai ^{[4
]}

Man, Hongying ^{[5
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Peking Univ, LMAM, Beijing 100871, Peoples R China

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[4] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China

[5] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 06期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

symmetric mixed finite element; linear elasticity problems; a posteriori error estimator; adaptive method; WEAK STRESS SYMMETRY; APPROXIMATIONS; FAMILY; FEM; TENSORS; GRIDS;

D O I：

10.1007/s11425-017-9181-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are presented to verify the theoretical results.

引用

页码：973 / 992

页数：20

共 38 条

[1] A mixed finite element method for elasticity in three dimensions [J].