Abstract
In this paper, we investigate the superconvergence property of aquadratic elliptic control problem with pointwise controlconstraints. The state and the co-state variables are approximatedby the Raviart-Thomas mixed finite element of order$k=1$ and the control variable is discretized by piecewise linearbut discontinuous functions. Approximations of the optimal solutionof the continuous optimal control problem will be constructed by aprojection of the discrete adjoint state. It is proved that theseapproximations have convergence order $h^{2}$.
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