This is the second in a series of two papers in which the patch recovery technique proposed by Zienkiewicz and Zhu [I-3] is analyzed. In the first paper [4], we have shown that the recovered derivative by the least-squares titting is superconvergent for the two-point boundary value problems. In the
Superconvergence recovery technique and a posteriori error estimators
โ Scribed by J. Z. Zhu; O. C. Zienkiewicz
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 744 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0029-5981
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โฆ Synopsis
Abstract
A new superconvergence recovery technique for finite element solutions is presented and discussed for one dimensional problems. By using the recovery technique a posteriori error estimators in both energy norm and maximum norm are presented for finite elements of any order. The relation between the postprocessing and residual types of energy norm error estimators has also been demonstrated.
๐ SIMILAR VOLUMES
In this paper, we derive recovery type superconvergence analysis and a posteriori error estimates for the finite element approximation of the distributed optimal control governed by Stokes equations. We obtain superconvergence results and asymptotically exact a posteriori error estimates by applying