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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2011

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

  • Weifeng Qiu EMAIL logo and Leszek Demkowicz

Abstract

We 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.

Received: 2011-05-12
Revised: 2011-09-16
Accepted: 2011-10-15
Published Online: 2011
Published in Print: 2011

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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