Quasi-Norm Interpolation Error Estimation and a Posterori Error Estimates for P-Laplacian

Liu, Steve Wenbin and Yan, Ningning (2002) Quasi-Norm Interpolation Error Estimation and a Posterori Error Estimates for P-Laplacian. SIAM Journal on Numerical Analysis, 40 (5). pp. 1870-1895. ISSN 0036-1429. (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)

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Official URL
http://dx.doi.org/10.1137/S0036142901393589

Abstract

In this paper, we establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi norms. These estimates are among the key ingredients in our improved a posteriori error analysis for the p-Laplacian. The quasi-norm interpolation error estimates are used to derive a posteriori error estimators for some conforming and nonconforming finite element approximation of the p-Laplacian, which are shown to provide upper and lower bounds for the discretization error.

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: 07 Sep 2008 15:40
Last Modified: 23 Jun 2014 11:04
Resource URI: https://kar.kent.ac.uk/id/eprint/8524 (The current URI for this page, for reference purposes)
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