Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints

T. Carraro; M. Geiger; R. Rannacher

doi:10.1137/120895809

Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints

SIAM Journal on Scientific Computing ◽

10.1137/120895809 ◽

2014 ◽

Vol 36 (2) ◽

pp. A452-A481 ◽

Cited By ~ 9

Author(s):

T. Carraro ◽

M. Geiger ◽

R. Rannacher

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Control Constraints ◽

Nonlinear Parabolic ◽

Parabolic Optimal Control

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Multiple shooting methods for parabolic optimal control problems with control constraints

PAMM ◽

10.1002/pamm.201510294 ◽

2015 ◽

Vol 15 (1) ◽

pp. 609-610

Author(s):

Thomas Carraro ◽

Michael Geiger

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Control Constraints ◽

Shooting Methods ◽

Parabolic Optimal Control

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Error Estimates for Parabolic Optimal Control Problems with Control Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1203 ◽

2004 ◽

pp. 353-376 ◽

Cited By ~ 28

Author(s):

A. Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Parabolic Optimal Control

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/070694016 ◽

2008 ◽

Vol 47 (3) ◽

pp. 1150-1177 ◽

Cited By ~ 78

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Control Constraints ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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On the Variational Stability of a Class of Nonlinear Parabolic Optimal Control Problems

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/697 ◽

1996 ◽

Vol 15 (1) ◽

pp. 245-262 ◽

Cited By ~ 3

Author(s):

Nikolaos Papageorgiou

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Variational Stability ◽

Nonlinear Parabolic ◽

Parabolic Optimal Control

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/070694028 ◽

2008 ◽

Vol 47 (3) ◽

pp. 1301-1329 ◽

Cited By ~ 91

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Control Constraints ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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Variational discretization for parabolic optimal control problems with control constraints

Journal of Systems Science and Complexity ◽

10.1007/s11424-012-0279-y ◽

2012 ◽

Vol 25 (5) ◽

pp. 880-895 ◽

Cited By ~ 4

Author(s):

Yuelong Tang ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Variational Discretization ◽

Parabolic Optimal Control

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Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems

Contributions in Mathematical and Computational Sciences - Multiple Shooting and Time Domain Decomposition Methods ◽

10.1007/978-3-319-23321-5_2 ◽

2015 ◽

pp. 35-67 ◽

Cited By ~ 2

Author(s):

Thomas Carraro ◽

Michael Geiger

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Parabolic Optimal Control

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New a posteriori L ∞(L 2) and L 2(L 2)-error estimates of mixed finite element methods for general nonlinear parabolic optimal control problems

Applications of Mathematics ◽

10.1007/s10492-016-0126-x ◽

2016 ◽

Vol 61 (2) ◽

pp. 135-163

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

A Posteriori ◽

Nonlinear Parabolic ◽

Parabolic Optimal Control

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Analysis and semidiscrete Galerkin approximation of a class of nonlinear parabolic optimal control problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)00022-4 ◽

1998 ◽

Vol 35 (6) ◽

pp. 95-103 ◽

Cited By ~ 2

Author(s):

A. Dȩbińska-Nagórska ◽

A. Just ◽

Z. Stempień

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Galerkin Approximation ◽

Control Problems ◽

Nonlinear Parabolic ◽

Parabolic Optimal Control

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Third order convergent time discretization for parabolic optimal control problems with control constraints

Computational Optimization and Applications ◽

10.1007/s10589-013-9580-5 ◽

2013 ◽

Vol 57 (1) ◽

pp. 205-240 ◽

Cited By ~ 3

Author(s):

Andreas Springer ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Time Discretization ◽

Control Problems ◽

Control Constraints ◽

Third Order ◽

Parabolic Optimal Control

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