Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems

Georg Vossen; Stefan Volkwein

doi:10.3934/naco.2012.2.465

Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems

Numerical Algebra Control and Optimization ◽

10.3934/naco.2012.2.465 ◽

2012 ◽

Vol 2 (3) ◽

pp. 465-485 ◽

Cited By ~ 6

Author(s):

Georg Vossen ◽

Stefan Volkwein

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Reduction Techniques ◽

Quadratic Optimal Control ◽

Posteriori Error Analysis

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POD a-posteriori error estimates for linear-quadratic optimal control problems

Computational Optimization and Applications ◽

10.1007/s10589-008-9224-3 ◽

2008 ◽

Vol 44 (1) ◽

pp. 83-115 ◽

Cited By ~ 76

Author(s):

F. Tröltzsch ◽

S. Volkwein

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control

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Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems

SIAM Journal on Scientific Computing ◽

10.1137/090760453 ◽

2010 ◽

Vol 32 (2) ◽

pp. 997-1019 ◽

Cited By ~ 23

Author(s):

Luca Dedè

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Reduced Basis ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control ◽

Basis Method

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A Posteriori Error Estimation for Control-Constrained, Linear-Quadratic Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/15m1020460 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1169-1192 ◽

Cited By ~ 10

Author(s):

René Schneider ◽

Gerd Wachsmuth

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

A Posteriori Error ◽

Quadratic Optimal Control

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A Posteriori Error Analysis of Optimal Control Problems with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130909251 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1832-1861 ◽

Cited By ~ 35

Author(s):

Kristina Kohls ◽

Arnd Rösch ◽

Kunibert G. Siebert

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.015 ◽

2019 ◽

Vol 136 ◽

pp. 23-45 ◽

Cited By ~ 1

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Measure Data ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Posteriori Error Analysis ◽

Parabolic Optimal Control

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A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m1017 ◽

2011 ◽

Vol 4 (4) ◽

pp. 439-458 ◽

Cited By ~ 2

Author(s):

Tianliang Hou

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Parabolic Equations ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Quadratic Optimal Control

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New a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint

Boundary Value Problems ◽

10.1186/1687-2770-2013-230 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Zuliang Lu ◽

Shaohong Du ◽

Yuelong Tang

Keyword(s):

Parabolic Equations ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Quadratic Optimal Control ◽

Semilinear Parabolic

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Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems

Comptes Rendus Mathematique ◽

10.1016/j.crma.2011.07.010 ◽

2011 ◽

Vol 349 (15-16) ◽

pp. 873-877 ◽

Cited By ~ 19

Author(s):

Martin A. Grepl ◽

Mark Kärcher

Keyword(s):

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

Linear Quadratic ◽

Reduced Basis ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Space‐time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach

Optimal Control Applications and Methods ◽

10.1002/oca.2618 ◽

2020 ◽

Vol 41 (5) ◽

pp. 1543-1567

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control Problems ◽

Finite Element Approximation ◽

Posteriori Error ◽

Control Problems ◽

Element Approximation ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Parabolic Optimal Control

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POD a-posteriori error analysis for optimal control problems with mixed control-state constraints

Computational Optimization and Applications ◽

10.1007/s10589-014-9636-1 ◽

2014 ◽

Vol 58 (3) ◽

pp. 619-644 ◽

Cited By ~ 6

Author(s):

Martin Gubisch ◽

Stefan Volkwein

Keyword(s):

State Constraints ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Mixed Control ◽

Posteriori Error Analysis ◽

Control State

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