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Abstract and Applied Analysis
Volume 2014, Article ID 946026, 8 pages
http://dx.doi.org/10.1155/2014/946026
Research Article

The Constants in A Posteriori Error Indicator for State-Constrained Optimal Control Problems with Spectral Methods

Department of Mathematics, Linyi University, Shandong, China

Received 15 January 2014; Revised 7 April 2014; Accepted 26 April 2014; Published 19 May 2014

Academic Editor: Elena Berdysheva

Copyright © 2014 Jianwei Zhou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We employ Legendre-Galerkin spectral methods to solve state-constrained optimal control problems. The constraint on the state variable is an integration form. We choose one-dimensional case to illustrate the techniques. Meanwhile, we investigate the explicit formulae of constants within a posteriori error indicator.