## 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 rela
A posteriori error estimators, gradient recovery by averaging, and superconvergence
β Scribed by Francesca Fierro; Andreas Veeser
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 426 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
We consider some (anisotropic and piecewise constant) diffusion problems in domains of R 2 , approximated by a discontinuous Galerkin method with polynomials of any fixed degree. We propose an a posteriori error estimator based on gradient recovery by averaging. It is shown that this estimator gives
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