Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

Numerische Mathematik ◽

10.1007/s00211-015-0743-4 ◽

2015 ◽

Vol 133 (1) ◽

pp. 67-102 ◽

Author(s):

Peng Chen ◽

Alfio Quarteroni ◽

Gianluigi Rozza

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Stokes Equations ◽

Reduced Basis Method ◽

Control Problems ◽

Reduced Basis ◽

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Weighted Reduced Basis Method for Stochastic Optimal Control Problems with Elliptic PDE Constraint

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/130940517 ◽

2014 ◽

Vol 2 (1) ◽

pp. 364-396 ◽

Author(s):

Peng Chen ◽

Alfio Quarteroni

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Reduced Basis Method ◽

Control Problems ◽

Elliptic Pde ◽

Reduced Basis ◽

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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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Reduced Basis Method and Error Estimation for Parametrized Optimal Control Problems with Control Constraints

Journal of Scientific Computing ◽

10.1007/s10915-011-9483-5 ◽

2011 ◽

Vol 50 (2) ◽

pp. 287-305 ◽

Author(s):

Luca Dedè

Keyword(s):

Optimal Control ◽

Error Estimation ◽

Optimal Control Problems ◽

Reduced Basis Method ◽

Control Problems ◽

Control Constraints ◽

Reduced Basis ◽

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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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Riccati dichotomic basis method for solving hyper-sensitive optimal control problems

10.2514/6.2001-4225 ◽

2001 ◽

Author(s):

Anil Rao

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

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Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems

Systems & Control Letters ◽

10.1016/j.sysconle.2011.10.003 ◽

2012 ◽

Vol 61 (1) ◽

pp. 143-147 ◽

Author(s):

J. Frédéric Bonnans ◽

Francisco J. Silva

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Barrier Method ◽

Linear Quadratic ◽

Logarithmic Barrier

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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 ◽

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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Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00304-3 ◽

2018 ◽

Vol 44 (2) ◽

pp. 431-448 ◽

Author(s):

Bui Trong Kien

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Solution Stability ◽

Navier Stokes Equations ◽

Second Order Optimality Conditions ◽

Stationary Navier Stokes Equations

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Stochastic optimal control problems under G-expectation

Optimal Control Applications and Methods ◽

10.1002/oca.2012 ◽

2011 ◽

Vol 34 (1) ◽

pp. 96-110 ◽

Author(s):

Defei Zhang

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Control Problems

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Stochastic Optimal Control Problems

Springer Optimization and Its Applications - Stochastic Differential Inclusions and Applications ◽

10.1007/978-1-4614-6756-4_7 ◽

2013 ◽

pp. 253-273

Author(s):

Michał Kisielewicz

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Control Problems

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