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

2 Citations (Scopus)

33 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

Access to Document

10.1007/s10589-019-00090-0

249 controlLinfAccepted author manuscript, 3.34 MB

Cite this

@article{dfbf9d1f0fd247e08598bcfc86526563,

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.}",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2019",

month = jul,

day = "1",

doi = "10.1007/s10589-019-00090-0",

language = "English",

volume = "73",

pages = "997--1017",

journal = "Computational Optimization and Applications",

issn = "0926-6003",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Maximum–norm a posteriori error estimates for an optimal control problem

AU - Otárola, Enrique

AU - Rankin, Richard

AU - Salgado, Abner J.

PY - 2019/7/1

Y1 - 2019/7/1

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 - http://www.scopus.com/inward/record.url?scp=85066136863&partnerID=8YFLogxK

U2 - 10.1007/s10589-019-00090-0

DO - 10.1007/s10589-019-00090-0

M3 - Article

AN - SCOPUS:85066136863

SN - 0926-6003

VL - 73

SP - 997

EP - 1017

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

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this