Reliable a posteriori error estimation for state-constrained optimal control
Rösch, A. and Siebert, K.G. and Steinig, S.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Volume: Pages: 1-42
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. © 2017 Springer Science+Business Media New York