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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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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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 ◽

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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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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Semidiscrete finite element approximation of time optimal control problems for semilinear heat equations with nonsmooth initial data

Systems & Control Letters ◽

10.1016/j.sysconle.2018.04.009 ◽

2018 ◽

Vol 116 ◽

pp. 32-40 ◽

Author(s):

Jingfang Huang ◽

Xin Yu ◽

Kangsheng Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Initial Data ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Heat Equations ◽

Element Approximation ◽

Time Optimal ◽

Nonsmooth Initial Data

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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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Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.02.092 ◽

2009 ◽

Vol 231 (1) ◽

pp. 327-348 ◽

Author(s):

Konstantinos Chrysafinos

Keyword(s):

Optimal Control ◽

Finite Element ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Distributed Optimal Control ◽

Finite Element Approximations ◽

Distributed Optimal Control Problems

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L∞-error estimates of higher order mixed finite element approximations for elliptic optimal control problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.704993 ◽

2012 ◽

Vol 89 (16) ◽

pp. 2224-2239 ◽

Author(s):

Tianliang Hou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Higher Order ◽

Control Problems ◽

Finite Element Approximations ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Analysis and finite element approximations of stochastic optimal control problems constrained by stochastic elliptic partial differential equations

10.31274/rtd-180813-17014 ◽

2008 ◽

Author(s):

Jangwoon Lee

Keyword(s):

Optimal Control ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Elliptic Partial Differential Equations ◽

Control Problems ◽

Partial Differential ◽

Finite Element Approximations

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Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.07.036 ◽

2011 ◽

Vol 384 (1) ◽

pp. 87-103 ◽

Author(s):

L.S. Hou ◽

J. Lee ◽

H. Manouzi

Keyword(s):

Optimal Control ◽

Finite Element ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

Finite Element Approximations

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Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0386-y ◽

2017 ◽

Vol 72 (2) ◽

pp. 820-841 ◽

Author(s):

Wei Gong ◽

Hehu Xie ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Correction Method ◽

Control Problems ◽

Finite Element Approximations ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Multilevel Correction Method

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