Characteristic mixed finite element approximation of transient convection diffusion optimal control problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2012.05.005 ◽

2012 ◽

Vol 82 (11) ◽

pp. 2109-2128 ◽

Author(s):

Zhaojie Zhou ◽

Fengxin Chen ◽

Huanzhen Chen

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Convection Diffusion

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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 characteristic finite element approximation of convection-diffusion optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21741 ◽

2012 ◽

Vol 29 (3) ◽

pp. 979-998 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Convection Diffusion ◽

Characteristic Finite Element

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A stabilized mixed finite element approximation of bilinear state optimal control problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.06.010 ◽

2017 ◽

Vol 74 (6) ◽

pp. 1246-1261

Author(s):

Hongfei Fu ◽

Hui Guo ◽

Jian Hou ◽

Jiansong Zhang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Stabilized Mixed Finite Element

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A posteriorierror estimates for mixed finite element approximation of nonlinear quadratic optimal control problems

Optimization Methods and Software ◽

10.1080/10556788.2011.582500 ◽

2013 ◽

Vol 28 (1) ◽

pp. 37-53

Author(s):

Yanping Chen ◽

Zuliang Lu ◽

Min Fu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Quadratic Optimal Control

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Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1079020-5 ◽

1991 ◽

Vol 57 (195) ◽

pp. 123-123 ◽

Author(s):

M. D. Gunzburger ◽

L. Hou ◽

T. P. Svobodny

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Stokes Equations ◽

Finite Element Approximation ◽

Navier Stokes ◽

Control Problems ◽

Element Approximation ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Finite element approximation of time optimal control problems for parabolic equations with Dirichelt boundary conditions

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006155 ◽

2005 ◽

pp. 354-361

Author(s):

Irena Lasiecka

Keyword(s):

Optimal Control ◽

Finite Element ◽

Boundary Conditions ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Time Optimal Control ◽

Control Problems ◽

Element Approximation ◽

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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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Finite element approximation of optimal control problems governed by time fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.11.014 ◽

2016 ◽

Vol 71 (1) ◽

pp. 301-318 ◽

Author(s):

Zhaojie Zhou ◽

Wei Gong

Keyword(s):

Optimal Control ◽

Finite Element ◽

Diffusion Equation ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Control Problems ◽

Element Approximation ◽

Time Fractional Diffusion Equation

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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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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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