A Posteriori Error Estimates For Distributed Optimal Control Problems

Liu, Wenbin, Yan, Ningning (2001) A Posteriori Error Estimates For Distributed Optimal Control Problems. Advances in Computational Mathematics, 15 (1-4). pp. 285-309. ISSN 1019-7168. (doi:10.1023/A:1014239012739) (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:8520)

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: http://dx.doi.org/10.1023/A:1014239012739

Abstract

In this paper, we present an a posteriori error analysis for finite element approximation of distributed convex optimal control problems. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive finite element approximation schemes for control problems. Explicit estimates are obtained for some model problems which requently appear in real-life applications.

Item Type:	Article
DOI/Identification number:	10.1023/A:1014239012739
Uncontrolled keywords:	distributed optimal control, finite element approximation, adaptive finite element methods, a posteriori error estimates
Subjects:	H Social Sciences > HD Industries. Land use. Labor > HD29 Operational Research - Applications
Divisions:	Divisions > Kent Business School - Division > Kent Business School (do not use)
Depositing User:	Steve Liu
Date Deposited:	09 Dec 2008 19:04 UTC
Last Modified:	16 Nov 2021 09:46 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/8520 (The current URI for this page, for reference purposes)

University of Kent Author Information

Liu, Wenbin.

Creator's ORCID:	https://orcid.org/0000-0001-5966-6235
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