A POSTERIORI ERROR ESTIMATE OF OPTIMAL CONTROL PROBLEM OF PDE WITH INTEGRAL CONSTRAINT FOR STATE |
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Authors: | Lei Yuan |
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Institution: | Lei Yuan Department of Mathematics,Sh,ong University,Jinan 250100,China Danping Yang Department of Mathematics,East China Normal University,Shanghai 200241,China |
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Abstract: | In this paper, we study adaptive finite element discretization schemes for an optimal control problem governed by elliptic PDE with an integral constraint for the state. We derive the equivalent a posteriori error estimator for the finite element approximation, which particularly suits adaptive multi-meshes to capture different singularities of the control and the state. Numerical examples are presented to demonstrate the efficiency of a posteriori error estimator and to confirm the theoretical results. |
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Keywords: | State-constrained optimal control problem Adaptive finite element method A posteriori error estimate |
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