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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Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint

Advances in Computational Mathematics ◽

10.1007/s10444-017-9546-8 ◽

2017 ◽

Vol 44 (2) ◽

pp. 367-394 ◽

Author(s):

Haitao Leng ◽

Yanping Chen

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

Control Constraint ◽

Integral Control ◽

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Convergence and Quasi-Optimality of an Adaptive Finite Element Method for Optimal Control Problems on $$L^{2}$$ L 2 Errors

Journal of Scientific Computing ◽

10.1007/s10915-017-0425-8 ◽

2017 ◽

Vol 73 (1) ◽

pp. 438-458 ◽

Author(s):

Haitao Leng ◽

Yanping Chen

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

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Adaptive Finite Element Method for Optimal Control Problems

2006 Chinese Control Conference ◽

10.1109/chicc.2006.280654 ◽

2006 ◽

Author(s):

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

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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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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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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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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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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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