Reduced Basis Methods---An Application to Variational Discretization of Parametrized Elliptic Optimal Control Problems

SIAM Journal on Scientific Computing ◽

10.1137/18m1227147 ◽

2020 ◽

Vol 42 (1) ◽

pp. A271-A291

Author(s):

Ahmad Ahmad Ali ◽

Michael Hinze

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Reduced Basis ◽

Reduced Basis Methods ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Certified Reduced Basis Methods for Parametrized Elliptic Optimal Control Problems with Distributed Controls

Journal of Scientific Computing ◽

10.1007/s10915-017-0539-z ◽

2017 ◽

Vol 75 (1) ◽

pp. 276-307 ◽

Author(s):

Mark Kärcher ◽

Zoi Tokoutsi ◽

Martin A. Grepl ◽

Karen Veroy

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Reduced Basis ◽

Reduced Basis Methods ◽

Distributed Controls ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Certified Reduced Basis Methods for Parametrized Distributed Elliptic Optimal Control Problems with Control Constraints

SIAM Journal on Scientific Computing ◽

10.1137/16m1059898 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3921-A3946 ◽

Author(s):

Eduard Bader ◽

Mark Kärcher ◽

Martin A. Grepl ◽

Karen Veroy

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Reduced Basis ◽

Reduced Basis Methods ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems

Computational Optimization and Applications ◽

10.1007/s10589-008-9198-1 ◽

2008 ◽

Vol 46 (3) ◽

pp. 487-510 ◽

Author(s):

M. Hinze ◽

C. Meyer

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

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 Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_9 ◽

2011 ◽

pp. 171-182 ◽

Author(s):

Michael Hinze ◽

Morten Vierling

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Reduced Basis Method for Parametrized Elliptic Optimal Control Problems

SIAM Journal on Scientific Computing ◽

10.1137/120894737 ◽

2013 ◽

Vol 35 (5) ◽

pp. A2316-A2340 ◽

Author(s):

Federico Negri ◽

Gianluigi Rozza ◽

Andrea Manzoni ◽

Alfio Quarteroni

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Reduced Basis Method ◽

Control Problems ◽

Reduced Basis ◽

Elliptic Optimal Control Problems ◽

Basis Method ◽

Elliptic Optimal Control

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A certified reduced basis method for parametrized elliptic optimal control problems

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2013069 ◽

2014 ◽

Vol 20 (2) ◽

pp. 416-441 ◽

Author(s):

Mark Kärcher ◽

Martin A. Grepl

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Reduced Basis Method ◽

Control Problems ◽

Reduced Basis ◽

Elliptic Optimal Control Problems ◽

Basis Method ◽

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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A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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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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