Finite element approximation of optimal control problems for the von Kármán equations

L. Steven Hou; James C. Turner

doi:10.1002/num.1690110109

Finite element approximation of optimal control problems for the von Kármán equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690110109 ◽

1995 ◽

Vol 11 (1) ◽

pp. 111-125 ◽

Cited By ~ 6

Author(s):

L. Steven Hou ◽

James C. Turner

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

Von Karman ◽

Von Kármán Equations ◽

Von Kármán

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A Nonconforming Finite Element Approximation for the von Karman equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015052 ◽

2016 ◽

Vol 50 (2) ◽

pp. 433-454 ◽

Cited By ~ 9

Author(s):

Gouranga Mallik ◽

Neela Nataraj

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Nonconforming Finite Element ◽

Von Karman ◽

Von Kármán Equations ◽

Von Kármán

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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 ◽

Cited By ~ 79

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 ◽

Time Optimal

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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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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 ◽

Cited By ~ 1

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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On the numerical analysis of the Von Karman equations: Mixed finite element approximation and continuation techniques

Numerische Mathematik ◽

10.1007/bf01407870 ◽

1982 ◽

Vol 39 (3) ◽

pp. 371-404 ◽

Cited By ~ 27

Author(s):

Laure Reinhart

Keyword(s):

Finite Element ◽

Numerical Analysis ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Element Approximation ◽

Von Karman ◽

Von Kármán Equations ◽

Von Kármán

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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 ◽

Cited By ~ 24

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 ◽

Cited By ~ 160

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 Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control

SIAM Journal on Control and Optimization ◽

10.1137/110840133 ◽

2014 ◽

Vol 52 (1) ◽

pp. 97-119 ◽

Cited By ~ 19

Author(s):

Wei Gong ◽

Michael Hinze ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

A Priori Error Analysis ◽

Parabolic 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 ◽

Cited By ~ 4

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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