Estimating the Control Error in discretized PDE-constrained Optimization

In this article we develop an a posteriori error estimator for discretized optimal control problems. We are interested in estimating the error in the control variable, measured in a natural norm. We prove an error representation formula involving only quantities at hand in a second-order optimiza- tion iteration, supposing a strong form of second-order sufficient condition. Possible generalization to the control-constrained case is indicated.

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