Nested multigrid methods for time-periodic, parabolic optimal control problems

Dirk Abbeloos; Moritz Diehl; Michael Hinze; Stefan Vandewalle

doi:10.1007/s00791-011-0158-4

Nested multigrid methods for time-periodic, parabolic optimal control problems

Computing and Visualization in Science ◽

10.1007/s00791-011-0158-4 ◽

2011 ◽

Vol 14 (1) ◽

pp. 27-38 ◽

Cited By ~ 10

Author(s):

Dirk Abbeloos ◽

Moritz Diehl ◽

Michael Hinze ◽

Stefan Vandewalle

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Control Problems ◽

Parabolic Optimal Control ◽

Time Periodic

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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 ◽

Time Periodic

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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 ◽

Cited By ~ 2

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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Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/140967969 ◽

2015 ◽

Vol 53 (5) ◽

pp. 2206-2225 ◽

Cited By ~ 5

Author(s):

F. M. Hante ◽

M. S. Mommer ◽

A. Potschka

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

Time Periodic

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Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems

Advances in Computational Mathematics ◽

10.1007/s10444-021-09887-2 ◽

2021 ◽

Vol 47 (5) ◽

Author(s):

Zhao-Zheng Liang ◽

Guo-Feng Zhang

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Preconditioning Techniques ◽

Parabolic Optimal Control ◽

Time Periodic ◽

Element Method

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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 ◽

Time Periodic

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Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients

SIAM Journal on Scientific Computing ◽

10.1137/070711311 ◽

2009 ◽

Vol 31 (3) ◽

pp. 2172-2192 ◽

Cited By ~ 28

Author(s):

A. Borzì ◽

G. von Winckel

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multigrid Methods ◽

Random Coefficients ◽

Sparse Grid ◽

Control Problems ◽

Parabolic Optimal Control

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A preconditioned MinRes solver for time-periodic parabolic optimal control problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.1842 ◽

2012 ◽

Vol 20 (5) ◽

pp. 761-784 ◽

Cited By ~ 15

Author(s):

Markus Kollmann ◽

Michael Kolmbauer

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

Time Periodic

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Multiharmonic Finite Element Solvers for Time-Periodic Parabolic Optimal Control Problems

PAMM ◽

10.1002/pamm.201210332 ◽

2012 ◽

Vol 12 (1) ◽

pp. 687-688 ◽

Cited By ~ 1

Author(s):

Ulrich Langer ◽

Monika Wolfmayr

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Parabolic Optimal Control ◽

Time Periodic

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Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2016.1200077 ◽

2016 ◽

Vol 37 (10) ◽

pp. 1267-1294 ◽

Cited By ~ 3

Author(s):

Ulrich Langer ◽

Sergey Repin ◽

Monika Wolfmayr

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Parabolic Optimal Control ◽

Time Periodic

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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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