A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints

Results in Applied Mathematics ◽

10.1016/j.rinam.2020.100119 ◽

2020 ◽

Vol 7 ◽

pp. 100119

Author(s):

Susanne C. Brenner ◽

Li-yeng Sung ◽

Zhiyu Tan

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Distributed Optimal Control ◽

Distributed Optimal Control Problems ◽

Interior Penalty Method ◽

And Control ◽

State And Control Constraints

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A $$\varvec{C}^0$$ C 0 Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints

Topics in Numerical Partial Differential Equations and Scientific Computing - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4939-6399-7_1 ◽

2016 ◽

pp. 1-22 ◽

Author(s):

Susanne C. Brenner ◽

Minah Oh ◽

Sara Pollock ◽

Kamana Porwal ◽

Mira Schedensack ◽

...

Keyword(s):

Optimal Control ◽

Penalty Method ◽

State Constraints ◽

Optimal Control Problems ◽

Three Dimensions ◽

Control Problems ◽

Distributed Optimal Control ◽

Pointwise State Constraints ◽

Distributed Optimal Control Problems ◽

Interior Penalty Method

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An interior penalty method for distributed optimal control problems governed by the biharmonic operator

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.08.012 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2205-2221 ◽

Author(s):

Thirupathi Gudi ◽

Neela Nataraj ◽

Kamana Porwal

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Biharmonic Operator ◽

Distributed Optimal Control ◽

Interior Penalty ◽

Distributed Optimal Control Problems ◽

Interior Penalty Method

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Optimal Control Problems with State and Control Constraints

Applied and Computational Optimal Control - Springer Optimization and Its Applications ◽

10.1007/978-3-030-69913-0_9 ◽

2021 ◽

pp. 315-369

Author(s):

Kok Lay Teo ◽

Bin Li ◽

Changjun Yu ◽

Volker Rehbock

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

And Control ◽

State And Control Constraints

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A-posteriori error estimates for optimal control problems with state and control constraints

Numerische Mathematik ◽

10.1007/s00211-011-0422-z ◽

2011 ◽

Vol 120 (4) ◽

pp. 733-762 ◽

Author(s):

Arnd Rösch ◽

Daniel Wachsmuth

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

Control Constraints ◽

A Posteriori ◽

A Posteriori Error ◽

And Control ◽

State And Control Constraints

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A Feasible Directions Algorithm for Optimal Control Problems with State and Control Constraints: Convergence Analysis

SIAM Journal on Control and Optimization ◽

10.1137/s0363012996297649 ◽

1998 ◽

Vol 36 (6) ◽

pp. 1999-2019 ◽

Author(s):

R. Pytlak ◽

R. B. Vinter

Keyword(s):

Optimal Control ◽

Convergence Analysis ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Feasible Directions ◽

And Control ◽

State And Control Constraints

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Feasible Direction Algorithm for Optimal Control Problems with State and Control Constraints: Implementation

Journal of Optimization Theory and Applications ◽

10.1023/a:1021742204850 ◽

1999 ◽

Vol 101 (3) ◽

pp. 623-649 ◽

Author(s):

R. Pytlak ◽

R. B. Vinter

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Feasible Direction ◽

Feasible Direction Algorithm ◽

And Control ◽

State And Control Constraints

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A feasible directions type algorithm for optimal control problems with hard state and control constraints

Proceedings of 32nd IEEE Conference on Decision and Control ◽

10.1109/cdc.1993.325828 ◽

2002 ◽

Author(s):

R. Pytlak ◽

R.B. Vinter

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Feasible Directions ◽

Type Algorithm ◽

And Control ◽

State And Control Constraints

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Parametric Sensitivity Analysis of Perturbed PDE Optimal Control Problems with State and Control Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-006-9122-8 ◽

2006 ◽

Vol 131 (1) ◽

pp. 17-35 ◽

Author(s):

C. Büskens ◽

R. Griesse

Keyword(s):

Optimal Control ◽

Sensitivity Analysis ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Parametric Sensitivity ◽

Parametric Sensitivity Analysis ◽

And Control ◽

State And Control Constraints

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A Method of Centers Based on Barrier Functions for Solving Optimal Control Problems with Continuum State and Control Constraints

New Trends in Systems Theory ◽

10.1007/978-1-4612-0439-8_74 ◽

1991 ◽

pp. 591-598

Author(s):

E. Polak ◽

T. H. Yang ◽

D. Q. Mayne

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Barrier Functions ◽

Continuum State ◽

Method Of Centers ◽

And Control ◽

State And Control Constraints

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A Method of Centers Based on Barrier Functions for Solving Optimal Control Problems with Continuum State and Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/0331012 ◽

1993 ◽

Vol 31 (1) ◽

pp. 159-179 ◽

Author(s):

E. Polak ◽

T. H. Yang ◽

D. Q. Mayne

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Barrier Functions ◽

Continuum State ◽

Method Of Centers ◽

And Control ◽

State And Control Constraints

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