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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

4 Citations (Scopus)

171 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

Free 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.",

keywords = "A posteriori error analysis, Finite element methods, Linear–quadratic optimal control problem, Maximum–norm",

author = "Enrique Ot{\'a}rola and Richard Rankin and Salgado, \{Abner J.\}",

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AU - Otárola, Enrique

AU - Rankin, Richard

AU - Salgado, Abner J.

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N2 - 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.

AB - 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.

KW - A posteriori error analysis

KW - Finite element methods

KW - Linear–quadratic optimal control problem

KW - Maximum–norm

UR - https://www.scopus.com/pages/publications/85066136863

U2 - 10.1007/s10589-019-00090-0

DO - 10.1007/s10589-019-00090-0

M3 - Article

AN - SCOPUS:85066136863

SN - 0926-6003

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JO - Computational Optimization and Applications

JF - Computational Optimization and Applications

IS - 3

ER -

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

Abstract

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ASJC Scopus subject areas

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