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Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality

Liu, Wenbin, Barrett, John W. (1993) Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality. Advances in Computational Mathematics, 1 (2). pp. 223-239. ISSN 1019-7168. (doi:10.1007/BF02071387) (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)

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. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/BF02071387

Abstract

In this paper, we establish some error bounds for the continuous piecewise linear finite element approximation of the following problem: Let ? be an open set in ?d, with d=1 or 2. Given T>0, p ? (1, ?), f and u0; find u ?K, where K is a closed convex subset of the Sobolev space W01, p(?), such that for any v?K {Mathematical expression} We prove error bounds in energy type norms for the fully discrete approximation using the backward Euler time discretisation. In some notable cases, these error bounds converge at the optimal rate with respect to the space discretisation, provided the solution u is sufficiently regular.

Item Type: Article
DOI/Identification number: 10.1007/BF02071387
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Divisions: Faculties > Sciences > School of Computing
Depositing User: Steve Wenbin Liu
Date Deposited: 27 Nov 2013 09:14 UTC
Last Modified: 29 May 2019 11:29 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/36857 (The current URI for this page, for reference purposes)
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