Multigrid Methods for Elliptic Optimal Control Problems with Pointwise State Constraints

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m12si06 ◽

2012 ◽

Vol 5 (1) ◽

pp. 99-109 ◽

Author(s):

Michelle Vallejos

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Pointwise State Constraints ◽

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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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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Multigrid Methods for Linear Elliptic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_78 ◽

2008 ◽

pp. 653-660

Author(s):

M. Vallejos ◽

A. Borzì

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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On some elliptic optimal control problems with state constraints

Optimization ◽

10.1080/02331938608843174 ◽

1986 ◽

Vol 17 (5) ◽

pp. 595-607 ◽

Author(s):

U. Mackenroth

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Lipschitz stability for elliptic optimal control problems with mixed control-state constraints

Optimization ◽

10.1080/02331930902863749 ◽

2009 ◽

Vol 59 (6) ◽

pp. 833-849 ◽

Author(s):

Walter Alt ◽

Roland Griesse ◽

Nataliya Metla ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Lipschitz Stability ◽

Mixed Control ◽

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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Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_92 ◽

2010 ◽

pp. 855-863 ◽

Author(s):

Stefan Takacs ◽

Walter Zulehner

Keyword(s):

Optimal Control ◽

Boundary Control ◽

Optimal Control Problems ◽

Neumann Boundary ◽

Multigrid Methods ◽

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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Multigrid Methods for Control-Constrained Elliptic Optimal Control Problems

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_95 ◽

2010 ◽

pp. 883-891

Author(s):

Michelle Vallejos ◽

Alfio Borzì

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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An FE-Inexact Heterogeneous ADMM for Elliptic Optimal Control Problems with L1-Control Cost

Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7448-6 ◽

2018 ◽

Vol 31 (6) ◽

pp. 1659-1697 ◽

Author(s):

Xiaoliang Song ◽

Bo Yu ◽

Yiyang Wang ◽

Xuping Zhang

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Cost ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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