Article
MSC:
49J21,
49M25,
49M30,
65K10,
65N30,
65R20 | MR 2530543 | Zbl 1212.65256 | DOI: 10.1007/s10492-009-0017-5
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Keywords:
optimal control; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement
optimal control; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement
Summary:
In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.
References:
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