Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations. (English) Zbl 1212.65256

Summary: 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.


65K10 Numerical optimization and variational techniques
49J21 Existence theories for optimal control problems involving relations other than differential equations
49M30 Other numerical methods in calculus of variations (MSC2010)
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