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Adaptive Finite Element Approximation for an Elliptic Optimal Control Problem with Both Pointwise and Integral Control Constraints

Ning, D., Liang, G., Liu, Wenbin (2014) Adaptive Finite Element Approximation for an Elliptic Optimal Control Problem with Both Pointwise and Integral Control Constraints. Journal of Scientific Computing, 60 (1). pp. 160-183. ISSN 0885-7474. (doi:10.1007/s10915-013-9790-0) (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:40797)

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/s10915-013-9790-0

Abstract

In this paper, we study the adaptive finite element approximation for a constrained optimal control problem with both pointwise and integral control constraints. We first obtain the explicit solutions for the variational inequalities both in the continuous and discrete cases. Then a priori error estimates are established, and furthermore equivalent a posteriori error estimators are derived for both the state and the control approximation, which can be used to guide the mesh refinement for an adaptive multi-mesh finite element scheme. The a posteriori error estimators are implemented and tested with promising numerical results.

Item Type: Article
DOI/Identification number: 10.1007/s10915-013-9790-0
Uncontrolled keywords: Optimal control problem , Finite element approximation, Adaptive finite element method, A posteriori error estimates, Multi-meshes
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculties > Social Sciences > Kent Business School > Management Science
Depositing User: Tracey Pemble
Date Deposited: 16 Apr 2014 09:14 UTC
Last Modified: 06 May 2020 03:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/40797 (The current URI for this page, for reference purposes)
Liu, Wenbin: https://orcid.org/0000-0001-5966-6235
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