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

Enrique Otárola; Richard Rankin; Abner J. Salgado

doi:10.1007/s10589-019-00090-0

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

Enrique Otárola, Richard Rankin, Abner J. Salgado

Research output: Journal Publication › Article › peer-review

3 Citations (Scopus)

26 Downloads (Pure)

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.

Original language	English
Pages (from-to)	997-1017
Number of pages	21
Journal	Computational Optimization and Applications
Volume	73
Issue number	3
DOIs	https://doi.org/10.1007/s10589-019-00090-0
Publication status	Published - 1 Jul 2019

Keywords

A posteriori error analysis
Finite element methods
Linear–quadratic optimal control problem
Maximum–norm

ASJC Scopus subject areas

Control and Optimization
Computational Mathematics
Applied Mathematics

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10.1007/s10589-019-00090-0

249 controlLinfAccepted author manuscript, 3.34 MB

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title = "Maximum–norm a posteriori error estimates for an optimal control problem",

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.",

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AU - Rankin, Richard

AU - Salgado, Abner J.

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KW - A posteriori error analysis

KW - Finite element methods

KW - Linear–quadratic optimal control problem

KW - Maximum–norm

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M3 - Article

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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