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Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint
Authors:Haitao Leng  Yanping Chen
Institution:1.School of Mathematical Science,South China Normal University,Guangzhou,People’s Republic of China
Abstract:In this paper we study the convergence of an adaptive finite element method for optimal control problems with integral control constraint. For discretization, we use piecewise constant discretization for the control and continuous piecewise linear discretization for the state and the co-state. The contraction, between two consecutive loops, is proved. Additionally, we find the adaptive finite element method has the optimal convergence rate. In the end, we give some examples to support our theoretical analysis.
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