Reliable a posteriori error estimation for state-constrained optimal control

We derive a reliable a posteriori error estimator for a state-constrained elliptic optimal control problem taking into account both regularisation and discretisation. The estimator is applicable to finite element discretisations of the problem with both discretised and non-discretised control. The p...

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Veröffentlicht in:Computational optimization and applications 2017-09, Vol.68 (1), p.121-162
Hauptverfasser: Rösch, A., Siebert, K. G., Steinig, S.
Format: Artikel
Sprache:eng
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Zusammenfassung:We derive a reliable a posteriori error estimator for a state-constrained elliptic optimal control problem taking into account both regularisation and discretisation. The estimator is applicable to finite element discretisations of the problem with both discretised and non-discretised control. The performance of our estimator is illustrated by several numerical examples for which we also introduce an adaptation strategy for the regularisation parameter.
ISSN:0926-6003
1573-2894
DOI:10.1007/s10589-017-9908-7