Finite element method for constrained optimal control problems governed by nonlinear elliptic PDEs

Mathematical Control and Related Fields ◽

10.3934/mcrf.2012.2.183 ◽

2012 ◽

Vol 2 (2) ◽

pp. 183-194 ◽

Author(s):

Ming Yan ◽

Lili Chang ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonlinear Elliptic ◽

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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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THE h × p FINITE ELEMENT METHOD FOR OPTIMAL CONTROL PROBLEMS CONSTRAINED BY STOCHASTIC ELLIPTIC PDES

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2015.19.387 ◽

2015 ◽

Vol 19 (4) ◽

pp. 387-407

Author(s):

HYUNG-CHUN LEE ◽

GWOON LEE

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

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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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An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0031 ◽

2019 ◽

Vol 12 (3) ◽

pp. 727-749 ◽

Author(s):

Chaochao Yang

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

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Solving Optimal Control Problems for Systems with Distributed Parameters by Means of the Finite Element Method Algorithm

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)37258-0 ◽

2000 ◽

Vol 33 (13) ◽

pp. 607-612

Author(s):

K. Hrubina ◽

J. Novák-Marcinčin

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

The Finite Element Method ◽

Distributed Parameters ◽

Systems With Distributed Parameters ◽

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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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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 ◽

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A Finite Element Method for the Solution of Optimal Control Problems

Discrete-Time Control System Implementation Techniques - Control and Dynamic Systems ◽

10.1016/s0090-5267(06)80053-8 ◽

1995 ◽

pp. 183-263

Author(s):

Robert R. Bless ◽

Dewey H. Hodges

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

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A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.03.020 ◽

2015 ◽

Vol 70 (4) ◽

pp. 297-313 ◽

Author(s):

Yanping Chen ◽

Yunqing Huang ◽

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Multiscale Finite Element Method ◽

Oscillating Coefficients ◽

Multiscale Finite Element ◽

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A multiscale finite element method for optimal control problems governed by the elliptic homogenization equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.04.017 ◽

2010 ◽

Vol 60 (3) ◽

pp. 390-398 ◽

Author(s):

Jian Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

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