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Quasi-Norm Local Error Estimators for p-Laplacian

Liu, Wenbin, Yan, Ningning (2002) Quasi-Norm Local Error Estimators for p-Laplacian. SIAM, Journal on Numerical Analysis, 39 (1). pp. 100-127. ISSN 0036-1429. (doi:10.1137/S0036142999351613) (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:8517)

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/10.1137/S0036142999351613

Abstract

In this paper, we extend the quasi-norm techniques used in a priori error estimation of finite element approximation of degenerate nonlinear systems in order to carry out an improved a posteriori error analysis for the p-Laplacian. We derive quasi-norm a posteriori error estimators of residual type, which are shown to provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, these estimators are further shown to be equivalent on the discretization error in a quasi norm. Numerical results demonstrating these a posteriori estimators are also presented.

Item Type: Article
DOI/Identification number: 10.1137/S0036142999351613
Uncontrolled keywords: finite element approximation, p-Laplacian, a posteriori error estimators, quasi- norm error bounds
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: 18 Oct 2008 23:10 UTC
Last Modified: 02 Jan 2024 15:57 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/8517 (The current URI for this page, for reference purposes)

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