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

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. © 2019, Springer Science+Business Media, LLC, part of Springer Nature...

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Main Authors: Otárola, Enrique, Rankin, Richard, Salgado, Abner J.
Format: Article
Language:English
Published: Springer 2019
Subjects:
Online Access:https://eprints.nottingham.ac.uk/56982/
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author Otárola, Enrique
Rankin, Richard
Salgado, Abner J.
author_facet Otárola, Enrique
Rankin, Richard
Salgado, Abner J.
author_sort Otárola, Enrique
building Nottingham Research Data Repository
collection Online Access
description 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. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
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institution University of Nottingham Malaysia Campus
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language English
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spelling nottingham-569822020-04-05T04:30:15Z https://eprints.nottingham.ac.uk/56982/ Maximum–norm a posteriori error estimates for an optimal control problem Otárola, Enrique Rankin, Richard Salgado, Abner J. 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. © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Springer 2019-04-05 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/56982/1/controlLinf.pdf Otárola, Enrique, Rankin, Richard and Salgado, Abner J. (2019) Maximum–norm a posteriori error estimates for an optimal control problem. Computational Optimization and Applications, 73 (3). pp. 997-1017. ISSN 0926-6003 Linear–quadratic optimal control problem; Finite element methods; A posteriori error analysis; Maximum–norm https://link.springer.com/article/10.1007%2Fs10589-019-00090-0 doi:10.1007/s10589-019-00090-0 doi:10.1007/s10589-019-00090-0
spellingShingle Linear–quadratic optimal control problem; Finite element methods; A posteriori error analysis; Maximum–norm
Otárola, Enrique
Rankin, Richard
Salgado, Abner J.
Maximum–norm a posteriori error estimates for an optimal control problem
title Maximum–norm a posteriori error estimates for an optimal control problem
title_full Maximum–norm a posteriori error estimates for an optimal control problem
title_fullStr Maximum–norm a posteriori error estimates for an optimal control problem
title_full_unstemmed Maximum–norm a posteriori error estimates for an optimal control problem
title_short Maximum–norm a posteriori error estimates for an optimal control problem
title_sort maximum–norm a posteriori error estimates for an optimal control problem
topic Linear–quadratic optimal control problem; Finite element methods; A posteriori error analysis; Maximum–norm
url https://eprints.nottingham.ac.uk/56982/
https://eprints.nottingham.ac.uk/56982/
https://eprints.nottingham.ac.uk/56982/