Some low order nonconforming mixed finite elements combined with Raviart–Thomas elements for a coupled Stokes–Darcy model

2013 ◽  
Vol 30 (3) ◽  
pp. 565-584 ◽  
Author(s):  
Peiqi Huang ◽  
Jinru Chen
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Darcy Model ◽  
Low Order

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

2006 ◽  
Vol 44 (1) ◽  
pp. 82-101 ◽  
Author(s):  
Pavel B. Bochev ◽  
Clark R. Dohrmann ◽  
Max D. Gunzburger
Keyword(s):  
Finite Elements ◽  
Stokes Equations ◽  
Mixed Finite Elements ◽  
Low Order

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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