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R. Becker

Estimating the control error in discretized PDE-constrained optimization

Keywords: finite elements, optimal control, adaptive methods

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 optimization iteration, supposing a strong form of second-order sufficient condition. Possible generalization to the control-constrained case is indicated.

Journal of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 14, 09/2006
Pages: 163 - 185

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