A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress

被引：1
|
作者：
Juntunen, Mika [1 ]
Lee, Jeonghun [1 ]
机构：
[1] Aalto Univ, Sch Sci, Dept Math & Syst Anal, Aalto 00076, Finland
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2014年 / 24卷 / 11期
关键词：
Linear elasticity; weakly symmetric stress; finite element method; rectangular element; error analysis; mesh-dependent norm; LINEAR ELASTICITY; IMPOSED SYMMETRY; FAMILY;
D O I：
10.1142/S0218202514500171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider mixed finite elements for linear elasticity with weakly symmetric stress. We propose a low-order three-dimensional rectangular element with optimal O(h) rate of convergence for all the unknowns. The element is a rectangular analogue of the simplified Arnold-Falk-Winther element. Instead of the elasticity complex approach, our stability analysis is based on new mesh-dependent norms.
引用
收藏
页码：2155 / 2169
页数：15
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