Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control

A. Gaevskaya; R. H. W. Hoppe; S. Repin

doi:10.1007/s10958-007-0293-0

Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control

Journal of Mathematical Sciences ◽

10.1007/s10958-007-0293-0 ◽

2007 ◽

Vol 144 (6) ◽

pp. 4535-4547 ◽

Cited By ~ 9

Author(s):

A. Gaevskaya ◽

R. H. W. Hoppe ◽

S. Repin

Keyword(s):

Distributed Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Functional Approach ◽

Control Problems ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints

Computational Optimization and Applications ◽

10.1007/s10589-008-9200-y ◽

2008 ◽

Vol 44 (1) ◽

pp. 3-25 ◽

Cited By ~ 44

Author(s):

Olaf Benedix ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_17 ◽

2011 ◽

pp. 303-317 ◽

Cited By ~ 6

Author(s):

Andreas Günther ◽

Michael Hinze ◽

Moulay Hicham Tber

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Control And State Constraints ◽

Elliptic Optimal Control

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Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.09.038 ◽

2019 ◽

Vol 77 (2) ◽

pp. 342-356

Author(s):

Haitao Leng ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Control Cost ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.05.015 ◽

2019 ◽

Vol 144 ◽

pp. 42-58 ◽

Cited By ~ 1

Author(s):

Yanping Chen ◽

Jinling Zhang ◽

Yunqing Huang ◽

Yeqing Xu

Keyword(s):

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Spectral Element ◽

Control Problems ◽

A Posteriori ◽

Spectral Element Methods ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Superconvergence and a posteriori error estimates of splitting positive definite mixed finite element methods for elliptic optimal control problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.08.126 ◽

2016 ◽

Vol 273 ◽

pp. 1196-1207

Author(s):

Tianliang Hou ◽

Li Li

Keyword(s):

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Positive Definite ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by hp-finite elements

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.08.007 ◽

2020 ◽

Vol 80 (11) ◽

pp. 2433-2450

Author(s):

Lothar Banz ◽

Michael Hintermüller ◽

Andreas Schröder

Keyword(s):

Error Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Hp Finite Elements ◽

Elliptic Optimal Control

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A priori and a posteriori error estimates of H1-Galerkin mixed finite element methods for elliptic optimal control problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.09.018 ◽

2015 ◽

Vol 70 (10) ◽

pp. 2542-2554 ◽

Cited By ~ 1

Author(s):

Tianliang Hou

Keyword(s):

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems

Comptes Rendus Mathematique ◽

10.1016/j.crma.2011.07.010 ◽

2011 ◽

Vol 349 (15-16) ◽

pp. 873-877 ◽

Cited By ~ 19

Author(s):

Martin A. Grepl ◽

Mark Kärcher

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Reduced Basis ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints

Journal of Computational Mathematics ◽

10.4208/jcm.2009.27.4.018 ◽

2009 ◽

Vol 27 (4) ◽

pp. 543-560 ◽

Cited By ~ 5

Author(s):

Yanping Chen

Keyword(s):

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

General Convex ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Pointwise Control Constraints

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A Posteriori Error Estimation for Control-Constrained, Linear-Quadratic Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/15m1020460 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1169-1192 ◽

Cited By ~ 10

Author(s):

René Schneider ◽

Gerd Wachsmuth

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control

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