Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains

International Series of Numerical Mathematics - Trends in PDE Constrained Optimization ◽

10.1007/978-3-319-05083-6_26 ◽

2014 ◽

pp. 421-435

Author(s):

Thomas G. Flaig ◽

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Nonsmooth Domains ◽

Nicolson Scheme ◽

Parabolic Optimal Control ◽

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A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/100809611 ◽

2011 ◽

Vol 49 (5) ◽

pp. 2183-2211 ◽

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

A Priori Error Analysis ◽

Nicolson Scheme ◽

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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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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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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A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_77 ◽

2008 ◽

pp. 645-652

Author(s):

D. Meidner ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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