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

Eduard Bader; Mark Kärcher; Martin A. Grepl; Karen Veroy

doi:10.1137/16m1059898

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 ◽

Cited By ~ 8

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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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 ◽

Cited By ~ 6

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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Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0016 ◽

2020 ◽

Vol 13 (2) ◽

pp. 400-432

Author(s):

global sci

Keyword(s):

Optimal Control ◽

Fourth Order ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Elliptic Optimal Control Problems ◽

Mixed Element ◽

Elliptic Optimal Control

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Adaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraints

BIT Numerical Mathematics ◽

10.1007/s10543-014-0497-x ◽

2014 ◽

Vol 55 (1) ◽

pp. 255-277 ◽

Cited By ~ 5

Author(s):

Ronald H. W. Hoppe ◽

Irwin Yousept

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Element Approximation ◽

Control Constraints ◽

Edge Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints

Computational Optimization and Applications ◽

10.1007/s10589-010-9357-z ◽

2010 ◽

Vol 52 (1) ◽

pp. 181-207 ◽

Cited By ~ 7

Author(s):

Klaus Krumbiegel ◽

Ira Neitzel ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

And Control ◽

State And Control Constraints

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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 ◽

Cited By ~ 44

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 ◽

Cited By ~ 11

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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A Certified Reduced Basis Approach for Parametrized Linear-Quadratic Optimal Control Problems with Control Constraints★

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.05.167 ◽

2015 ◽

Vol 48 (1) ◽

pp. 719-720 ◽

Cited By ~ 1

Author(s):

Eduard Bader ◽

Mark Kärcher ◽

Martin Grepl ◽

Karen Veroy-Grepl

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Linear Quadratic ◽

Reduced Basis ◽

Linear Quadratic Optimal Control ◽

Quadratic 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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 1

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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