scholarly journals Mixed hp-finite element method for linear elasticity with weakly imposed symmetry

2009 ◽  
Vol 198 (47-48) ◽  
pp. 3682-3701 ◽  
Author(s):  
Weifeng Qiu ◽  
Leszek Demkowicz
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Elasticity ◽  
Element Method ◽  
Hp Finite Element

Mixed variable order h-finite element method for linear elasticity with weakly imposed symmetry. Curvilinear elements in 2D

2011 ◽  
Vol 11 (4) ◽  
pp. 510-539 ◽  
Author(s):  
Weifeng Qiu ◽  
Leszek Demkowicz
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Elasticity ◽  
Stability Result ◽  
Variable Order ◽  
Numer Anal ◽  
2D Elasticity ◽  
Mixed Variable ◽  
Element Method ◽  
Hp Finite Element

AbstractWe continue our study on variable order Arnold-Falk-Winther elements reported in [W. Qiu, L. Demkowicz, Mixed hp-finite element method for linear elasticity with weakly imposed symmetry. Comput. Methods Appl. Mech. Engrg., 198 (2009), pp. 3682-–3701] and [W. Qiu, L. Demkowicz, Mixed hp-finite element method for linear elasticity with weakly imposed symmetry: stability analysis. SIAM J. Numer. Anal., 49 (2011), pp. 619-–641] for 2D elasticity in context of parametric curvilinear elements. We present an asymptotic h-stability result.

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