A direct approach to the finite element solution of elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199905)15:3<371::aid-num7>3.0.co;2-x ◽

1999 ◽

Vol 15 (3) ◽

pp. 371-388 ◽

Author(s):

Dan Givoli

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Direct Approach ◽

Finite Element Solution ◽

Control Problems ◽

Element Solution ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Finite Element Solution of Optimal Control Problems with Inequality Constraints

10.23919/acc.1990.4790735 ◽

1990 ◽

Author(s):

Robert R. Bless ◽

Dewey H. Hodges

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Inequality Constraints ◽

Finite Element Solution ◽

Control Problems ◽

Element Solution

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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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Adaptive finite element method for elliptic optimal control problems: convergence and optimality

Numerische Mathematik ◽

10.1007/s00211-016-0827-9 ◽

2016 ◽

Vol 135 (4) ◽

pp. 1121-1170 ◽

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Convergence And Optimality

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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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Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012901389342 ◽

2002 ◽

Vol 41 (5) ◽

pp. 1321-1349 ◽

Author(s):

Ruo Li ◽

Wenbin Liu ◽

Heping Ma ◽

Tao Tang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Adaptive Finite Element Approximation ◽

Elliptic Optimal Control

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Finite-element solution of nonlinear optimal control problems with a quadratic performance index

Computers & Chemical Engineering ◽

10.1016/0098-1354(87)80008-x ◽

1987 ◽

Vol 11 (1) ◽

pp. 77-81 ◽

Author(s):

C. Kiparissides ◽

A. Georgiou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Performance Index ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Finite Element Solution ◽

Control Problems ◽

Element Solution ◽

Quadratic Performance Index ◽

Quadratic Performance

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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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Conjugate gradient-boundary element solution using multiple reciprocity method for distributed elliptic optimal control problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.09.002 ◽

2008 ◽

Vol 58 (10) ◽

pp. 1534-1552 ◽

Author(s):

Li Bingjie ◽

Kou Guangxing ◽

Zhao Huiwen

Keyword(s):

Optimal Control ◽

Boundary Element ◽

Conjugate Gradient ◽

Optimal Control Problems ◽

Control Problems ◽

Element Solution ◽

Reciprocity Method ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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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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