Abstract and Applied Analysis

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

Jianwei Zhou

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 542307, 5 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412605747

Digital Object Identifier
doi:10.1155/2014/542307

Mathematical Reviews number (MathSciNet)
MR3206800

Citation

Zhou, Jianwei. Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 542307, 5 pages. doi:10.1155/2014/542307. https://projecteuclid.org/euclid.aaa/1412605747


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