Chen, Yanping, Yi, Nianyu, Liu, Wenbin (2008) Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations. SIAM Journal on Numerical Analysis, 46 (5). pp. 2254-2275. ISSN 0036-1429. (doi:10.1137/070679703) (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:22890)
| 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/10.1137/070679703 |
|
Abstract
In this paper, we study the Legendre-Galerkin spectral approximation for a constrained optimal control problem. We first derive a priori error estimates for the spectral approximation of optimal control problems. Then a posteriori error estimates are obtained for both the state and the control approximation. A preconditioning projection algorithm is proposed with some numerical tests.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1137/070679703 |
| Uncontrolled keywords: | Legendre-Galerkin; spectral method; convex optimal control; a priori error; a posteriori error; preconditioning projection algorithms |
| Subjects: | Q Science > Operations Research - Theory |
| Institutional Unit: | Schools > Kent Business School |
| Former Institutional Unit: |
Divisions > Kent Business School - Division > Kent Business School (do not use)
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| Depositing User: | Steve Liu |
| Date Deposited: | 13 Jan 2010 15:51 UTC |
| Last Modified: | 20 May 2025 11:45 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/22890 (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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