Reliable a posteriori error estimation for state-constrained optimal control

A. Rösch, K. G. Siebert and S. Steinig ()
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A. Rösch: Universität Duisburg-Essen
K. G. Siebert: Universität Stuttgart
S. Steinig: Faculty of Mathematics

Computational Optimization and Applications, 2017, vol. 68, issue 1, No 5, 162 pages

Abstract: Abstract 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.

Keywords: Optimal control; State constraints; A posteriori error estimation; Adaptive finite element methods; 49J20; 80M10; 65M15 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10589-017-9908-7

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