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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Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints

Computational Optimization and Applications ◽

10.1007/s10589-013-9537-8 ◽

2013 ◽

Vol 55 (3) ◽

pp. 769-802 ◽

Author(s):

Dmitriy Leykekhman ◽

Dominik Meidner ◽

Boris Vexler

Keyword(s):

State Constraints ◽

Optimal Control Problems ◽

Optimal Error Estimates ◽

Control Problems ◽

Finite Element Discretization ◽

Optimal Error ◽

Element Discretization ◽

Pointwise State Constraints ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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L∞-error estimates of higher order mixed finite element approximations for elliptic optimal control problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.704993 ◽

2012 ◽

Vol 89 (16) ◽

pp. 2224-2239 ◽

Author(s):

Tianliang Hou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Higher Order ◽

Control Problems ◽

Finite Element Approximations ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Error estimates for the Lavrentiev regularization of elliptic optimal control problems

Inverse Problems ◽

10.1088/0266-5611/24/5/055003 ◽

2008 ◽

Vol 24 (5) ◽

pp. 055003 ◽

Author(s):

S Cherednichenko ◽

K Krumbiegel ◽

A Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Lavrentiev Regularization ◽

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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Robust error estimates for the finite element approximation of elliptic optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.09.001 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1370-1381 ◽

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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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 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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Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems

Discussiones Mathematicae Differential Inclusions Control and Optimization ◽

10.7151/dmdico.1121 ◽

2010 ◽

Vol 30 (2) ◽

pp. 221 ◽

Author(s):

Pedro Merino ◽

Ira Neitzel ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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