Error indicators for mixed finite elements in 2-dimensional linear elasticity

1995 ◽  
Vol 127 (1-4) ◽  
pp. 345-356 ◽  
Author(s):  
Dietrich Braess ◽  
Ottmar Klaas ◽  
Rainer Niekamp ◽  
Erwin Stein ◽  
Frank Wobschal
Keyword(s):  
Finite Elements ◽  
Linear Elasticity ◽  
Mixed Finite Elements ◽  
Error Indicators

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

2014 ◽  
Vol 24 (11) ◽  
pp. 2155-2169 ◽  
Author(s):  
Mika Juntunen ◽  
Jeonghun Lee
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Finite Elements ◽  
Mixed Finite Element ◽  
Three Dimensional ◽  
Mixed Finite Elements ◽  
Complex Approach ◽  
Weakly Symmetric ◽  
Rectangular Element ◽  
Low Order

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.

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