Geodesic
Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations
Applications of Mathematics, Tome 54 (2009) no. 3, pp. 267-283.

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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.
DOI : 10.1007/s10492-009-0017-5
Classification : 49J21, 49M25, 49M30, 65K10, 65N30, 65R20
Keywords: optimal control; integral equation; Galerkin method; superconvergence; a posteriori error estimates; constrained optimal control problems; adaptive mesh refinement 
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     title = {Superconvergence analysis and a posteriori error estimation of a {Finite} {Element} {Method} for an optimal control problem governed by integral equations},
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Yan, Ningning. Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations. Applications of Mathematics, Tome 54 (2009) no. 3, pp. 267-283. doi : 10.1007/s10492-009-0017-5. http://geodesic.mathdoc.fr/articles/10.1007/s10492-009-0017-5/

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