A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9164-3 ◽

2013 ◽

Vol 24 (1) ◽

pp. 114-135 ◽

Author(s):

Zuliang Lu ◽

Yanping Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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A Priori Error Estimates for Least-Squares Mixed Finite Element Approximation of Elliptic Optimal Control Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1406-m4396 ◽

2015 ◽

Vol 33 (2) ◽

pp. 113-127 ◽

Author(s):

Hongfei Fu and Hongxing Rui

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Elliptic Optimal Control Problems ◽

Priori Error Estimates ◽

Elliptic Optimal Control

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Variational discretization and rectangle mixed finite element methods for quadratic semilinear elliptic optimal control problems

2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control ◽

10.1109/iceee.2011.6106643 ◽

2011 ◽

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A GLOBAL SUPERCONVERGENT L∞-ERROR ESTIMATE OF MIXED FINITE ELEMENT METHODS FOR SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS

Journal of Applied Analysis & Computation ◽

10.11948/2015028 ◽

2015 ◽

Vol 5 (3) ◽

pp. 313-328

Author(s):

Li Li ◽

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Erratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0086-4 ◽

2015 ◽

Vol 66 (3) ◽

pp. 987-990

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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Superconvergence of H1-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.150117.070618 ◽

2019 ◽

Vol 9 (1) ◽

pp. 87-101 ◽

Author(s):

Chunmei Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20200102 ◽

2020 ◽

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Positive Definite ◽

Control Problems ◽

Priori Error Estimates

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New elliptic projections and a priori error estimates of H 1 -Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.036 ◽

2017 ◽

Vol 311 ◽

pp. 29-46 ◽

Author(s):

Tianliang Hou ◽

Jiaqi Zhang ◽

Yanzhong Li ◽

Yueting Yang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Priori Error Estimates

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A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-95 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Zuliang Lu ◽

Yanping Chen ◽

Yunqing Huang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Control Problems ◽

Variational Discretization ◽

Priori Error Estimates

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