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摘要
In this paper, we discuss the superconvergence of mixed finite element methods for a semilinear elliptic control problem with an integral constraint. The state and co-state are approximated by the order k = 1 Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. Approximation of the optimal control of the continuous optimal control problem will be constructed by a projection of the discrete adjoint state. It is proved that this approximation has convergence order h(2) in L-infinity-norm. Finally, a numerical example is given to demonstrate the theoretical results.
- 出版日期2015-8
- 单位重庆三峡学院
