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Abstract and Applied Analysis
Volume 2014, Article ID 542307, 5 pages
Research Article

Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems

Department of Mathematics, Linyi University, Shandong, China

Received 24 January 2014; Revised 24 March 2014; Accepted 27 March 2014; Published 28 April 2014

Academic Editor: Shuping He

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.


Explicit formulae of constants within the a posteriori error estimate for optimal control problems are investigated with Legendre-Galerkin spectral methods. The constrained set is put on the control variable. For simpleness, one-dimensional bounded domain is taken. Meanwhile, the corresponding a posteriori error indicator is established with explicit constants.