Error estimates of variational discretization and fully discrete mixed finite element methods for semilinear parabolic optimal control problem

2011 2nd International Conference on Intelligent Control and Information Processing ◽

10.1109/icicip.2011.6008217 ◽

2011 ◽

Author(s):

Zuliang Lu ◽

Xiao Huang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Fully Discrete ◽

Variational Discretization ◽

Parabolic Optimal Control ◽

Semilinear Parabolic

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Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.11.009 ◽

2010 ◽

Vol 199 (23-24) ◽

pp. 1415-1423 ◽

Author(s):

Yanping Chen ◽

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Fully Discrete ◽

Parabolic Optimal Control

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Error estimates for parabolic optimal control problem by fully discrete mixed finite element methods

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2010.06.011 ◽

2010 ◽

Vol 46 (11) ◽

pp. 957-965 ◽

Author(s):

Yanping Chen ◽

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Fully Discrete ◽

Parabolic Optimal Control

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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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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 ◽

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 posteriori error estimates of variational discretization mixed finite element methods for integro-differential optimal control problem

2013 10th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE) ◽

10.1109/iceee.2013.6676039 ◽

2013 ◽

Author(s):

Zuliang Lu ◽

Dayong Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Finite Element Methods ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Variational Discretization

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Interpolation coefficients mixed finite element methods and L^∞-error estimates for nonlinear optimal control problem

Journal of Mathematical Inequalities ◽

10.7153/jmi-2017-11-83 ◽

2017 ◽

pp. 1113-1129

Author(s):

Zuli ng Lu ◽

Shu ua Zhang ◽

Longz ou Cao ◽

Lin Li ◽

in Yang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Nonlinear Optimal Control ◽

Mixed Finite Element Methods ◽

Nonlinear Optimal Control Problem

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Superconvergence of triangular Raviart–Thomas mixed finite element methods for a bilinear constrained optimal control problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.08.019 ◽

2013 ◽

Vol 66 (8) ◽

pp. 1498-1513 ◽

Author(s):

Yanping Chen ◽

Zuliang Lu ◽

Yunqing Huang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Constrained Optimal Control ◽

Constrained Optimal Control Problem

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A priori error estimates of mixed finite element methods for nonlinear quadratic convex optimal control problem

2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control ◽

10.1109/iceee.2008.4723362 ◽

2008 ◽

Author(s):

H. W. Zhang ◽

Z. L. Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Methods ◽

Priori Error Estimates

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Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.09-m0931 ◽

2010 ◽

Vol 2 (1) ◽

pp. 56-75 ◽

Author(s):

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Constrained Optimal Control ◽

Constrained Optimal Control Problem

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L ∞ -error estimates of rectangular mixed finite element methods for bilinear optimal control problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.12.006 ◽

2017 ◽

Vol 300 ◽

pp. 79-94

Author(s):

Zuliang Lu ◽

Shuhua Zhang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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