Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals

International Journal of Control ◽

10.1080/00207179.2016.1245870 ◽

2016 ◽

Vol 90 (11) ◽

pp. 2349-2367 ◽

Author(s):

Andreas Schindele ◽

Alfio Borzì

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

Cost Functionals

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Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2019 ◽

10.1007/978-3-030-55874-1_120 ◽

2020 ◽

pp. 1205-1213

Author(s):

Monika Wolfmayr

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

Cost Functionals ◽

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A Sequential Quadratic Hamiltonian Method for Solving Parabolic Optimal Control Problems with Discontinuous Cost Functionals

Journal of Dynamical and Control Systems ◽

10.1007/s10883-018-9419-6 ◽

2018 ◽

Vol 25 (3) ◽

pp. 403-435 ◽

Author(s):

Tim Breitenbach ◽

Alfio Borzì

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Hamiltonian Method ◽

Quadratic Hamiltonian ◽

Parabolic Optimal Control ◽

Cost Functionals

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The RSS-like iteration method for block two-by-two linear systems from time-periodic parabolic optimal control problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126477 ◽

2021 ◽

Vol 410 ◽

pp. 126477

Author(s):

Min-Li Zeng

Keyword(s):

Optimal Control ◽

Linear Systems ◽

Iteration Method ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

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A posteriori $$L^{\infty }(L^{\infty })$$-error estimates for finite-element approximations to parabolic optimal control problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01682-5 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

A Posteriori ◽

Finite Element Approximations ◽

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 ◽

Author(s):

A. Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Parabolic Optimal Control

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Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold

SIAM Journal on Numerical Analysis ◽

10.1137/151004744 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1229-1262 ◽

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Dimensional Manifold ◽

Finite Element Approximations ◽

Parabolic Optimal Control ◽

Lower Dimensional

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Parabolic optimal control problems with a quintic B-spline dynamic model

Nonlinear Dynamics ◽

10.1007/s11071-015-1896-5 ◽

2015 ◽

Vol 80 (1-2) ◽

pp. 653-667 ◽

Author(s):

Alireza Nazemi ◽

Farzaneh Kheyrinataj

Keyword(s):

Optimal Control ◽

Dynamic Model ◽

Optimal Control Problems ◽

Control Problems ◽

B Spline ◽

Parabolic Optimal Control

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Crank--Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/14099680x ◽

2015 ◽

Vol 53 (3) ◽

pp. 1182-1198 ◽

Author(s):

Nikolaus von Daniels ◽

Michael Hinze ◽

Morten Vierling

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Time Stepping ◽

Variational Discretization ◽

Parabolic Optimal Control ◽

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A rational deferred correction approach to parabolic optimal control problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx046 ◽

2017 ◽

Vol 38 (4) ◽

pp. 1861-1892 ◽

Author(s):

Stefan Güttel ◽

John W Pearson

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Deferred Correction ◽

Parabolic Optimal Control

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Leapfrog multigrid methods for parabolic optimal control problems

The 27th Chinese Control and Decision Conference (2015 CCDC) ◽

10.1109/ccdc.2015.7161680 ◽

2015 ◽

Author(s):

Buyang Li ◽

Jun Liu ◽

Mingqing Xiao

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Parabolic Optimal Control

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