Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold

Wei Gong; Ningning Yan

doi:10.1137/151004744

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 ◽

Cited By ~ 5

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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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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Residual-based a posteriori error control for Space-time finite element approximations of parabolic optimal control problems

PAMM ◽

10.1002/pamm.201410419 ◽

2014 ◽

Vol 14 (1) ◽

pp. 877-878

Author(s):

Wei Gong ◽

Michael Hinze ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Control ◽

Optimal Control Problems ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations ◽

Parabolic Optimal Control

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FINITE ELEMENT APPROXIMATIONS OF THE OPTIMAL CONTROL PROBLEMS FOR STOCHASTIC STOKES EQUATIONS

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2014.51.3.847 ◽

2014 ◽

Vol 51 (3) ◽

pp. 847-862

Author(s):

Youngmi Choi ◽

Soohyun Kim ◽

Hyung-Chun Lee

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Finite Element Approximations

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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 ◽

Space Time ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems

Numerische Mathematik ◽

10.1007/s00211-011-0409-9 ◽

2011 ◽

Vol 120 (2) ◽

pp. 345-386 ◽

Cited By ~ 36

Author(s):

Ira Neitzel ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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Finite element approximations of impulsive optimal control problems for heat equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.04.031 ◽

2019 ◽

Vol 477 (1) ◽

pp. 250-271

Author(s):

Xin Yu ◽

Jingfang Huang ◽

Kangsheng Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Heat Equations ◽

Finite Element Approximations

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Superconvergence analysis of fully discrete finite element methods for semilinear parabolic optimal control problems

Frontiers of Mathematics in China ◽

10.1007/s11464-013-0239-4 ◽

2013 ◽

Vol 8 (2) ◽

pp. 443-464 ◽

Cited By ~ 5

Author(s):

Yuelong Tang ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Fully Discrete ◽

Discrete Finite Element ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimal Control Problems with Measure Data

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2019.1615948 ◽

2019 ◽

Vol 41 (2) ◽

pp. 158-191

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Measure Data ◽

Control Problems ◽

Finite Element Discretizations ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Element Discretizations

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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 ◽

Element Method

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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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