Journal
OPTIMAL CONTROL APPLICATIONS & METHODS
Volume 39, Issue 3, Pages 1168-1181Publisher
WILEY
DOI: 10.1002/oca.2402
Keywords
elliptic equations; error estimates; optimal control; spectral method
Categories
Funding
- National Natural Science Foundation of China [11571292]
- Guangxi Municipality Project for the Basic Ability Enhancement of Young and Middle-Aged Teachers [KY2016YB532]
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The Galerkin spectral method is used to approximate elliptic optimal control problems with integral state and control constraints in this paper. We derive the optimality conditions for the control problems by E. Casas' results, then a priori error estimates are provided. Some numerical examples are investigated to confirm the theoretical results and to show the efficiency of the proposed method.
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