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Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian

Liu, Wenbin, Yan, Ningning (2001) Quasi-norm a priori and a posteriori error estimates for the nonconforming approximation of p-Laplacian. Numerische Mathematik, 89 (2). pp. 341-378. ISSN 0029-599X. E-ISSN 0945-3245. (doi:10.1007/PL00005470) (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:8519)

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:
http://dx.doi.org/10.1007/PL00005470

Abstract

In this paper, we derive quasi-norm a priori and a posteriori error estimates for the Crouzeix-Raviart type finite element approximation of the p-Laplacian. Sharper a priori upper error bounds are obtained. For instance, for sufficiently regular solutions we prove optimal a priori error bounds on the discretization error in an energy norm when . We also show that the new a posteriori error estimates provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, the a posteriori error estimates are further shown to be equivalent on the discretization error in a quasi-norm.

Item Type: Article
DOI/Identification number: 10.1007/PL00005470
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: 21 Mar 2009 15:38 UTC
Last Modified: 27 Nov 2023 10:12 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/8519 (The current URI for this page, for reference purposes)

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