Quasi-Norm a Posteriori Error Estimates For Non-Conforming Finite Element Approximation of P-Laplacian

Liu, Steve Wenbin and Yan, Ningning (2001) Quasi-Norm a Posteriori Error Estimates For Non-Conforming Finite Element Approximation of P-Laplacian. Numerische Mathematik, 89 (2). pp. 341-378. ISSN 0029-599X (Print) 0945-3245 (Online). (The full text of this publication is not available from this repository)

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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
Subjects: H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Faculties > Social Sciences > Kent Business School
Depositing User: Steve Wenbin Liu
Date Deposited: 21 Mar 2009 15:38
Last Modified: 23 Jun 2014 11:07
Resource URI: http://kar.kent.ac.uk/id/eprint/8519 (The current URI for this page, for reference purposes)
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