Adaptive Mixed Methods and Variational Discretization for Nonlinear Optimal Control Problems
نویسندگان
چکیده
In this paper, we study the adaptive mixed finite element methods and variational discretization for optimal control problems governed by nonlinear elliptic equations. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discretized. Then we derive a posteriori error estimates both for the coupled state and the control approximation. Finally, we introduce an adaptive algorithm to guide the mesh refinement. Mathematics Subject Classification: 49J20, 65N30
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تاریخ انتشار 2011