A Multiscale Approach for Optimal Control Problems of Linear Parabolic Equations

SIAM Journal on Control and Optimization ◽

10.1137/110828800 ◽

2012 ◽

Vol 50 (6) ◽

pp. 3269-3291 ◽

Author(s):

Liqun Cao ◽

Jianjun Liu ◽

Walter Allegretto ◽

Yanping Lin

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Multiscale Approach ◽

Linear Parabolic Equations

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Multi-mesh adaptive finite element algorithms for constrained optimal control problems governed by semi-linear parabolic equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-014-0292-0 ◽

2014 ◽

Vol 30 (2) ◽

pp. 411-428 ◽

Author(s):

Tie-jun Chen ◽

Jian-xin Xiao ◽

Hui-ying Wang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Adaptive Finite Element ◽

Constrained Optimal Control ◽

Linear Parabolic Equations

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Optimal control problems governed by some semilinear parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2003.09.013 ◽

2004 ◽

Vol 56 (2) ◽

pp. 241-252 ◽

Author(s):

Sang-Uk Ryu

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Finite element approximation of time optimal control problems for parabolic equations with Dirichelt boundary conditions

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006155 ◽

2005 ◽

pp. 354-361

Author(s):

Irena Lasiecka

Keyword(s):

Optimal Control ◽

Finite Element ◽

Boundary Conditions ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Time Optimal Control ◽

Control Problems ◽

Element Approximation ◽

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Distributed Solution of Optimal Control Problems Governed by Parabolic Equations

Robust Optimization-Directed Design - Nonconvex Optimization and Its Applications ◽

10.1007/0-387-28654-3_4 ◽

2006 ◽

pp. 73-94

Author(s):

Matthias Heinkenschloss ◽

Michael Herty

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems

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Optimal control problems of parabolic equations with an infinite number of variables and with equality constraints

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnm002 ◽

2007 ◽

Vol 25 (1) ◽

pp. 37-48 ◽

Author(s):

G. M. Bahaa

Keyword(s):

Optimal Control ◽

Infinite Number ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Equality Constraints ◽

Control Problems

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Hybrid optimal control problems for a class of semilinear parabolic equations

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018060 ◽

2018 ◽

Vol 11 (6) ◽

pp. 1031-1060 ◽

Author(s):

Sébastien Court ◽

◽

Karl Kunisch ◽

Laurent Pfeiffer ◽

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Hybrid Optimal Control ◽

Semilinear Parabolic

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Integral state-constrained optimal control problems for some quasilinear parabolic equations

Nonlinear Analysis ◽

10.1016/s0362-546x(98)00264-8 ◽

2000 ◽

Vol 39 (8) ◽

pp. 977-996 ◽

Author(s):

Luis A. Fernández

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Quasilinear Parabolic Equations ◽

Constrained Optimal Control ◽

Quasilinear Parabolic

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A fixed-point iteration method for optimal control problems governed by parabolic equations

10.1063/5.0026579 ◽

2020 ◽

Author(s):

Stefania Ragni

Keyword(s):

Optimal Control ◽

Fixed Point ◽

Parabolic Equations ◽

Iteration Method ◽

Optimal Control Problems ◽

Control Problems ◽

Fixed Point Iteration

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Optimal control problems for distributed parameter systems governed by semilinear parabolic equations in l1 and l∞ spaces

Optimal Control of Partial Differential Equations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043215 ◽

2006 ◽

pp. 68-80 ◽

Author(s):

H. O. Fattorini

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Distributed Parameter Systems ◽

Distributed Parameter ◽

Control Problems ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902397090 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1032-1061 ◽

Author(s):

Wenbin Liu ◽

Heping Ma ◽

Tao Tang ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Parabolic Equations ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

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