Variational Discretization and Adaptive Mixed Methods for Integro-Differential Optimal Control Problems
نویسندگان
چکیده
In this paper, we study the variational discretization and adaptive mixed finite element methods for optimal control problems governed by integro-differential 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. We derive a posteriori error estimates for the coupled state and control approximation. Such a posteriori error estimates can be used to construct more efficient and reliable adaptive mixed finite element method for the optimal control problems. Finally, we introduce an adaptive algorithm to guide the mesh refinement. Mathematics Subject Classification: 49J20, 65N30
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