Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis

Authors:
Weifeng Qiu;Leszek Demkowicz
Affiliations:
qiuw@ices.utexas.edu and leszek@ices.utexas.edu;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2011

Citing 5
Cited 0

On the construction of optimal mixed finite element methods for the linear elasticity problem

Numerische Mathematik
A family of mixed finite elements for the elasticity problem

Numerische Mathematik
Optimal finite-element interpolation on curved domains

SIAM Journal on Numerical Analysis
Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity

Computer Methods in Applied Mechanics and Engineering
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications

Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications

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Abstract

The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a nontrivial modification of involved interpolation operators. The analysis addresses only the $h$-convergence. In addition, numerical experiments for two dimensional cases are provided.