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A Posteriori Fe Error Control for P-Laplacian by Gradient Recovery in Quasi-norm

Liu, Wenbin, Carstensen, C, Yan, Ningning (2006) A Posteriori Fe Error Control for P-Laplacian by Gradient Recovery in Quasi-norm. Mathematics of Computation, 75 (256). pp. 1599-1616. ISSN 0025-5718. (doi:10.1090/s0025-5718-06-01819-9) (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:8486)

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/10.1090/s0025-5718-06-01819-9

Abstract

A posteriori error estimators based on quasi-norm gradient recovery are established for the finite element approximation of the p-Laplacian on unstructured meshes. The new a posteriori error estimators provide both upper and lower bounds in the quasi-norm for the discretization error. The main tools for the proofs of reliability are approximation error estimates for a local approximation operator in the quasi-norm.

Item Type: Article
DOI/Identification number: 10.1090/s0025-5718-06-01819-9
Uncontrolled keywords: finite element approximation; p-Laplacian; a posteriori error estimators; gradient recovery; 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: 07 Sep 2008 15:06 UTC
Last Modified: 09 Mar 2023 11:30 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/8486 (The current URI for this page, for reference purposes)

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