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

页码：2155 / 2169

页数：15

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