Averaging techniques are popular tools in adaptive ยฎnite element methods for the numerical treatment of second-order partial dierential equations since they provide ecient a posteriori error estimates by a simple postprocessing. In this paper, the reliability of any averaging estimator is shown for
Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening
โ Scribed by Carsten Carstensen; Jochen Alberty
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 229 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
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๐ SIMILAR VOLUMES
In the second part of our investigation on a posteriori error estimates and a posteriori error control in ยฎnite element analysis in elasticity, we focus on robust a posteriori error bounds. First we establish a residual-based a posteriori error estimate which is reliable and ecient up to higher-orde
In the third part of our investigations on averaging techniques for a posteriori error control in elasticity we focus on nonconforming ยฎnite elements in two dimensions. Kouhia and Stenberg [Comput. Methods Appl. Mech. Engrg. 124 (1995) 195] established robust a priori error estimates for a Galerkin-
In this paper, the local averaging based a posteriori finite element error control for a class of nonlinear elliptic equations is investigated. It is shown by both theory and practice that the error control is reliable and the associated adaptive computation is efficient for problems with smooth dat