Author: Alexandra Gaevskaya

Title of the contribution: Error Majorants for Distributed Optimal Control Problems with Control Constraints

Abstract:
In this work, we introduce a new approach to the error analysis of distributed optimal control problems governed by PDEs. It is based on functional type a posteriori estimates that provide guaranteed upper bounds of the difference between the exact solution of the distributed control problem and any trial function from the respective energy class. By applying these estimates, we derive computable majorants for the cost functional that can be used for directly solving the problem considered.

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