scholarly journals Stabilization of low-order mixed finite elements for the plane elasticity equations

2017 ◽  
Vol 73 (3) ◽  
pp. 363-373 ◽  
Author(s):  
Zhenzhen Li ◽  
Shaochun Chen ◽  
Shuanghong Qu ◽  
Minghao Li
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Plane Elasticity ◽  
Elasticity Equations ◽  
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

scholarly journals RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY

2005 ◽  
Vol 15 (09) ◽  
pp. 1417-1429 ◽  
Author(s):  
DOUGLAS N. ARNOLD ◽  
GERARD AWANOU
Keyword(s):  
Finite Elements ◽  
Vector Fields ◽  
Mixed Finite Elements ◽  
Symmetric Tensor ◽  
Plane Elasticity ◽  
Discrete Version ◽  
Tensor Fields ◽  
Piecewise Polynomials ◽  
The Family ◽  
Differential Complex

We present a family of stable rectangular mixed finite elements for plane elasticity. Each member of the family consists of a space of piecewise polynomials discretizing the space of symmetric tensor fields in which the stress field is sought, and another to discretize the space of vector fields in which the displacement is sought. These may be viewed as analogues in the case of rectangular meshes of mixed finite elements recently proposed for triangular meshes. As for the triangular case the elements are closely related to a discrete version of the elasticity differential complex.

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