Chen, Y.P. and Yi, N.Y. and Liu, W.B. (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 .
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| 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 |
|---|---|
| Uncontrolled keywords: | Legendre-Galerkin; spectral method; convex optimal control; a priori error; a posteriori error; preconditioning projection algorithms |
| Subjects: | Q Science > Operations Research - Theory |
| Divisions: | Faculties > Social Sciences > Kent Business School |
| Depositing User: | Steve Wenbin Liu |
| Date Deposited: | 13 Jan 2010 15:51 |
| Last Modified: | 13 Jan 2010 15:51 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/22890 (The current URI for this page, for reference purposes) |
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