Maximum–norm a posteriori error estimates for an optimal control problem

Enrique Otárola (), Richard Rankin () and Abner J. Salgado ()
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Enrique Otárola: Universidad Técnica Federico Santa María
Richard Rankin: University of Nottingham Ningbo China
Abner J. Salgado: University of Tennessee

Computational Optimization and Applications, 2019, vol. 73, issue 3, No 11, 997-1017

Abstract: Abstract We analyze a reliable and efficient max-norm a posteriori error estimator for a control-constrained, linear–quadratic optimal control problem. The estimator yields optimal experimental rates of convergence within an adaptive loop.

Keywords: Linear–quadratic optimal control problem; Finite element methods; A posteriori error analysis; Maximum–norm; 49J20; 49M25; 65K10; 65N15; 65N30; 65N50; 65Y20 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10589-019-00090-0

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