Superconvergence of Fully Discrete Finite Elements for Parabolic Control Problems with Integral Constraints
نویسنده
چکیده
A quadratic optimal control problem governed by parabolic equations with integral constraints is considered. A fully discrete finite element scheme is constructed for the optimal control problem, with finite elements for the spatial but the backward Euler method for the time discretisation. Some superconvergence results of the control, the state and the adjoint state are proved. Some numerical examples are performed to confirm theoretical results. AMS subject classifications: 35B37, 49J20, 65N30
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