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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Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems

Reactive Flows, Diffusion and Transport ◽

10.1007/978-3-540-28396-6_8 ◽

2007 ◽

pp. 177-205 ◽

Author(s):

R. Becker ◽

M. Braack ◽

D. Meidner ◽

R. Rannacher ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Constrained Optimal Control

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A Nonconforming Finite Element Method for Constrained Optimal Control Problems Governed by Parabolic Equations

Taiwanese Journal of Mathematics ◽

10.11650/tjm/7929 ◽

2017 ◽

Vol 21 (5) ◽

pp. 1193-1211 ◽

Author(s):

Hong-Bo Guan ◽

Dong-Yang Shi

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Constrained Optimal Control ◽

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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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Finite element method for the solution of state-constrained optimal control problems

Journal of Guidance Control and Dynamics ◽

10.2514/3.21502 ◽

1995 ◽

Vol 18 (5) ◽

pp. 1036-1043 ◽

Author(s):

Robert R. Bless ◽

Dewey H. Hodges ◽

Hans Seywald

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

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Adaptive finite element method for elliptic optimal control problems: convergence and optimality

Numerische Mathematik ◽

10.1007/s00211-016-0827-9 ◽

2016 ◽

Vol 135 (4) ◽

pp. 1121-1170 ◽

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Convergence And Optimality

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Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012901389342 ◽

2002 ◽

Vol 41 (5) ◽

pp. 1321-1349 ◽

Author(s):

Ruo Li ◽

Wenbin Liu ◽

Heping Ma ◽

Tao Tang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Adaptive Finite Element Approximation ◽

Elliptic Optimal Control

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Convergence and quasi-optimality of L^2- norms based an adaptive finite element method for nonlinear optimal control problems

Electronic Research Archive ◽

10.3934/era.2020077 ◽

2020 ◽

Vol 28 (4) ◽

pp. 1459-1486

Author(s):

Zuliang Lu ◽

◽

Fei Huang ◽

Xiankui Wu ◽

Lin Li ◽

...

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

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Nonconforming Finite Element Methods for the Constrained Optimal Control Problems Governed by Nonsmooth Elliptic Equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-020-0931-6 ◽

2020 ◽

Vol 36 (2) ◽

pp. 471-481

Author(s):

Hong-bo Guan ◽

Dong-yang Shi

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Nonconforming Finite Element ◽

Constrained Optimal Control ◽

Nonconforming Finite Element Methods

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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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An adaptive finite element algorithm for parabolic optimal control problems

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080215010126 ◽

2015 ◽

Vol 36 (1) ◽

pp. 48-57

Author(s):

Yuelong Tang ◽

Yuchun Hua

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Adaptive Finite Element ◽

Parabolic Optimal Control ◽

Element Algorithm

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