Liu, Wenbin, Yan, Ningning (2001) Quasi Norm a Posteriori Error Estimates Based on Gradient Recovery or Residual Estimation. Journal of Scientific Computing, 16 (4). pp. 435-477. ISSN 0885-7474. (doi:10.1023/A:1013246424707) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:8521)
The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
Official URL https://doi.org/10.1023/A:1013246424707 |
Abstract
In this paper, we first derive a posteriori error estimators of residual type for the
finite element approximation of the p-Laplacian, and show that they are reliable,
and efficient up to higher order terms. We then construct some a posteriori error
estimators based on gradient recovery. We further compare the two types of a
posteriori error estimators. It is found that there exist some relationships between
the two types of estimators, which are similar to those held in the case of the
Laplacian. It is shown that the a posteriori error estimators based on gradient
recovery are equivalent to the discretization error in a quasi-norm provided the
solution is sufficiently smooth and mesh is uniform. Under stronger conditions,
superconvergnece properties have been established for the used gradient recovery
operator, and then some of the gradient recovery based estimates are further
shown to be asymptotically exact to the discretization error in a quasi-norm.
Numerical results demonstrating these a posteriori estimates are also presented.
Item Type: | Article |
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DOI/Identification number: | 10.1023/A:1013246424707 |
Uncontrolled keywords: | Finite element approximation; p-Laplacian; a posteriori error estimators; quasi-norm; gradient recovery; superconvergence. |
Subjects: | H Social Sciences > HA Statistics > HA33 Management Science |
Divisions: | Divisions > Kent Business School - Division > Kent Business School (do not use) |
Depositing User: | Steve Liu |
Date Deposited: | 14 Nov 2008 10:04 UTC |
Last Modified: | 16 Nov 2021 09:46 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/8521 (The current URI for this page, for reference purposes) |
Liu, Wenbin: | ![]() |
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