A Posteriori Error Estimates For Finite Element Approximation of Parabolic p-Laplacian

Liu, Steve Wenbin and Carstensen, C and Yan, Ningning (2006) A Posteriori Error Estimates For Finite Element Approximation of Parabolic p-Laplacian. SIAM Journal on Numerical Analysis, 43 (6). 2294 - 2319. 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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Abstract

In this paper, we derive a posteriori error estimates in the quasi-norm for the finite element approximation of the parabolic p-Laplacian. We obtain a posteriori error bounds for the semidiscrete scheme and the fully backward Euler discretization. We show that the new a posteriori error estimators provide both upper and lower bounds on the discretization error.

Item Type: Article
Uncontrolled keywords: finite element approximation; backward Euler discretization; parabolic p-Laplacian; a posteriori error estimators; quasi-norm error bounds
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 14:59
Last Modified: 23 Jun 2014 11:03
Resource URI: https://kar.kent.ac.uk/id/eprint/8485 (The current URI for this page, for reference purposes)
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