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摘要
In this paper, we analyze the superconvergence of the bilinear constrained elliptic optimal control problem by triangular Raviart-Thomas mixed finite element methods. The state and the co-state are approximated by the order k = 1 Raviart-Thomas mixed finite elements and the control is approximated by piecewise constant functions. We obtain the superconvergence property between average L-2 projection and the approximation of the control variable, and the convergence order is h(2). Two numerical examples are presented for illustrating the superconvergence results.
