A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems

Journal of Mathematical Inequalities ◽

10.7153/jmi-2020-14-65 ◽

2020 ◽

pp. 989-1006

Author(s):

Zuli ng Lu ◽

ei Huang ◽

Lin Li ◽

Fei Cai ◽

in Yang

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Spectral Methods ◽

Optimal Control Problems ◽

A Priori ◽

Posteriori Error ◽

Control Problems ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A priori error estimates of mixed methods for bilinear elliptic optimal control problems with integral constraint

2011 6th IEEE Joint International Information Technology and Artificial Intelligence Conference ◽

10.1109/itaic.2011.6030162 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Integral Constraint ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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A priori error estimates for elliptic optimal control problems with a bilinear state equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.01.023 ◽

2009 ◽

Vol 230 (2) ◽

pp. 781-802 ◽

Author(s):

Axel Kröner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

State Equation ◽

A Priori Error Estimates ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

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 ◽

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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Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space

SIAM Journal on Control and Optimization ◽

10.1137/120889137 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2788-2808 ◽

Author(s):

Konstantin Pieper ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Measure Space ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

A Priori Error Analysis ◽

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 ◽

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 Priori Error Estimates for Least-Squares Mixed Finite Element Approximation of Elliptic Optimal Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1406-m4396 ◽

2015 ◽

Vol 33 (2) ◽

pp. 113-127 ◽

Author(s):

Hongfei Fu and Hongxing Rui

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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Discretization of interior point methods for state constrained elliptic optimal control problems: optimal error estimates and parameter adjustment

Computational Optimization and Applications ◽

10.1007/s10589-009-9278-x ◽

2009 ◽

Vol 48 (3) ◽

pp. 581-600 ◽

Author(s):

Michael Hinze ◽

Anton Schiela

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Interior Point ◽

Interior Point Methods ◽

Optimal Control Problems ◽

Optimal Error Estimates ◽

Control Problems ◽

Optimal Error ◽

Elliptic Optimal Control Problems ◽

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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Error Estimates for a Class of Elliptic Optimal Control Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2016.1217881 ◽

2016 ◽

Vol 38 (1) ◽

pp. 58-79

Author(s):

O. Mali

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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