Error estimates of variational discretization for semilinear parabolic optimal control problems

Chunjuan Hou;  ; Zuliang Lu; Xuejiao Chen; Fei Huang;  ;

doi:10.3934/math.2021047

Error estimates of variational discretization for semilinear parabolic optimal control problems

AIMS Mathematics ◽

10.3934/math.2021047 ◽

2021 ◽

Vol 6 (1) ◽

pp. 772-793

Author(s):

Chunjuan Hou ◽

◽

Zuliang Lu ◽

Xuejiao Chen ◽

Fei Huang ◽

...

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Variational Discretization ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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Error estimates of variational discretization and mixed finite element methods for semilinear parabolic optimal control problems

2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC) ◽

10.1109/aimsec.2011.6009993 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Variational Discretization ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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A Priori Error Estimates for State-Constrained Semilinear Parabolic Optimal Control Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1311-8 ◽

2018 ◽

Vol 178 (2) ◽

pp. 317-348

Author(s):

Francesco Ludovici ◽

Ira Neitzel ◽

Winnifried Wollner

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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A priori error estimates of variational discretization and semi-discrete mixed methods for general parabolic optimal control problems

2011 International Conference on Electrical and Control Engineering ◽

10.1109/iceceng.2011.6057127 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Mixed Methods ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Variational Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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A PRIORI ERROR ESTIMATES AND SUPERCONVERGENCE PROPERTY OF VARIATIONAL DISCRETIZATION FOR NONLINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS

Journal of applied mathematics & informatics ◽

10.14317/jami.2013.479 ◽

2013 ◽

Vol 31 (3_4) ◽

pp. 479-490 ◽

Cited By ~ 1

Author(s):

Yuelong Tang ◽

Yuchun Hua

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Control Problems ◽

Nonlinear Parabolic ◽

Variational Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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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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Error Estimates for Parabolic Optimal Control Problems with Control Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1203 ◽

2004 ◽

pp. 353-376 ◽

Cited By ~ 28

Author(s):

A. Rösch

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Parabolic Optimal Control

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Crank--Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/14099680x ◽

2015 ◽

Vol 53 (3) ◽

pp. 1182-1198 ◽

Cited By ~ 3

Author(s):

Nikolaus von Daniels ◽

Michael Hinze ◽

Morten Vierling

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Time Stepping ◽

Variational Discretization ◽

Parabolic Optimal Control ◽

Crank Nicolson

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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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Mixed Discontinuous Galerkin Time-Stepping Method for Semilinear Parabolic Optimal Control Problems

Computational Mathematics and Modeling ◽

10.1007/s10598-015-9306-x ◽

2015 ◽

Vol 27 (1) ◽

pp. 95-121

Author(s):

L. Li

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Control Problems ◽

Time Stepping ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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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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