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 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 ◽

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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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 ◽

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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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 ◽

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 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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A posteriori error estimates for mixed finite element solutions of convex optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.11.015 ◽

2008 ◽

Vol 211 (1) ◽

pp. 76-89 ◽

Author(s):

Yanping Chen ◽

Wenbin Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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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 Posteriori Error Estimates of Lowest Order Raviart-Thomas Mixed Finite Element Methods for Bilinear Optimal Control Problems

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.080212.260312a ◽

2012 ◽

Author(s):

Zuliang Lu ◽

Yanping Chen ◽

Weishan Zheng

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A priori and a posteriori error estimates of H 1 -Galerkin mixed finite element method for parabolic optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.2312 ◽

2017 ◽

Vol 38 (6) ◽

pp. 1056-1070 ◽

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

A Posteriori Error Estimates ◽

Mixed Finite Element Method ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Parabolic Optimal Control

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New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint

Boundary Value Problems ◽

10.1186/1687-2770-2013-230 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Zuliang Lu ◽

Shaohong Du ◽

Yuelong Tang

Keyword(s):

Parabolic Equations ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Quadratic Optimal Control ◽

Semilinear Parabolic

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