Error Estimates and Superconvergence of RT0 Mixed Methods for a Class of Semilinear Elliptic Optimal Control Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2013.1230nm ◽

2013 ◽

Vol 6 (4) ◽

pp. 637-656 ◽

Author(s):

Yanping Chen and Tianliang Hou

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear 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 discontinuous interpolated finite volume approximation of semilinear elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22181 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2090-2113 ◽

Author(s):

Ruchi Sandilya ◽

Sarvesh Kumar

Keyword(s):

Optimal Control ◽

Finite Volume ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Volume Approximation ◽

Elliptic Optimal Control ◽

Finite Volume Approximation

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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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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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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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A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9164-3 ◽

2013 ◽

Vol 24 (1) ◽

pp. 114-135 ◽

Author(s):

Zuliang Lu ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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Variational discretization and rectangle mixed finite element methods for quadratic semilinear elliptic optimal control problems

2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control ◽

10.1109/iceee.2011.6106643 ◽

2011 ◽

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A GLOBAL SUPERCONVERGENT L∞-ERROR ESTIMATE OF MIXED FINITE ELEMENT METHODS FOR SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS

Journal of Applied Analysis & Computation ◽

10.11948/2015028 ◽

2015 ◽

Vol 5 (3) ◽

pp. 313-328

Author(s):

Li Li ◽

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Second-order necessary optimality conditions for semilinear elliptic optimal control problems

Applicable Analysis ◽

10.1080/00036811.2016.1148691 ◽

2016 ◽

Vol 96 (4) ◽

pp. 626-651 ◽

Author(s):

V. H. Nhu ◽

N. H. Son ◽

J. C. Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Stability of semilinear elliptic optimal control problems with pointwise state constraints

Computational Optimization and Applications ◽

10.1007/s10589-011-9410-6 ◽

2011 ◽

Vol 52 (1) ◽

pp. 87-114 ◽

Author(s):

M. Hinze ◽

C. Meyer

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Pointwise State Constraints ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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