Finite Element Approximations of an Optimal Control Problem with Integral State Constraint

Wenbin Liu; Danping Yang; Lei Yuan; Chaoqun Ma

doi:10.1137/080737095

Finite Element Approximations of an Optimal Control Problem with Integral State Constraint

SIAM Journal on Numerical Analysis ◽

10.1137/080737095 ◽

2010 ◽

Vol 48 (3) ◽

pp. 1163-1185 ◽

Cited By ~ 23

Author(s):

Wenbin Liu ◽

Danping Yang ◽

Lei Yuan ◽

Chaoqun Ma

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

State Constraint ◽

Finite Element Approximations

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Adaptive finite element method for an optimal control problem of Stokes flow with L2-norm state constraint

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2572 ◽

2011 ◽

Vol 69 (3) ◽

pp. 534-549 ◽

Cited By ~ 8

Author(s):

Haifeng Niu ◽

Lei Yuan ◽

Danping Yang

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Stokes Flow ◽

State Constraint ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

L2 Norm

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Finite element approximation of time fractional optimal control problem with integral state constraint

AIMS Mathematics ◽

10.3934/math.2021059 ◽

2021 ◽

Vol 6 (1) ◽

pp. 979-997

Author(s):

Jie Liu ◽

◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Finite Element Approximation ◽

State Constraint ◽

Element Approximation ◽

Fractional Optimal Control Problem ◽

Fractional Optimal Control

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Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE

SIAM Journal on Control and Optimization ◽

10.1137/17m1155636 ◽

2019 ◽

Vol 57 (1) ◽

pp. 241-263

Author(s):

Max Gunzburger ◽

Jilu Wang

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Error Analysis ◽

Control Problem ◽

Fully Discrete ◽

Finite Element Approximations ◽

Fractional Pde ◽

Discrete Finite Element

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Finite element approximations of an optimal control problem associated with the scalar Ginzburg-Landau equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(91)90090-q ◽

1991 ◽

Vol 21 (2-3) ◽

pp. 123-131 ◽

Cited By ~ 9

Author(s):

M.D. Gunzburger ◽

L. Hou ◽

T.P. Svobodny

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Landau Equation ◽

Ginzburg Landau ◽

Finite Element Approximations ◽

Ginzburg Landau Equation

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Finite element approximations of parabolic optimal control problem with measure data in time

Applicable Analysis ◽

10.1080/00036811.2019.1698722 ◽

2019 ◽

pp. 1-29

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Measure Data ◽

Finite Element Approximations ◽

Parabolic Optimal Control

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Error analysis of finite element approximations of the optimal control problem for stochastic Stokes equations with additive white noise

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.03.002 ◽

2018 ◽

Vol 133 ◽

pp. 144-160 ◽

Cited By ~ 1

Author(s):

Youngmi Choi ◽

Hyung-Chun Lee

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Error Analysis ◽

Control Problem ◽

White Noise ◽

Stokes Equations ◽

Finite Element Approximations ◽

Additive White Noise

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Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0201 ◽

2020 ◽

Vol 13 (4) ◽

pp. 1027-1049 ◽

Cited By ~ 1

Author(s):

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Finite Element Approximation ◽

State Constraint ◽

Element Approximation ◽

Fractional Optimal Control Problem ◽

Fractional Optimal Control

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Application of the finite element method to an optimal control problem

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620121007 ◽

1978 ◽

Vol 12 (10) ◽

pp. 1559-1574 ◽

Cited By ~ 5

Author(s):

J. Nakamichi ◽

K. Washizu

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

The Finite Element Method ◽

Element Method

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A direct approach using the finite element method for the solution of the linear optimal control problem with a quadratic criterion

Journal of the Franklin Institute ◽

10.1016/0016-0032(78)90040-6 ◽

1978 ◽

Vol 306 (4) ◽

pp. 309-319 ◽

Cited By ~ 2

Author(s):

J. Nakamichi ◽

K. Washizu

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Direct Approach ◽

The Finite Element Method ◽

Linear Optimal Control ◽

Element Method

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Optimal prestress of cracked unilateral structures: finite element analysis of an optimal control problem for variational inequalities

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(94)00739-a ◽

1995 ◽

Vol 123 (1-4) ◽

pp. 231-246 ◽

Cited By ~ 21

Author(s):

G.E. Stavroulakis

Keyword(s):

Finite Element Analysis ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Variational Inequalities ◽

Control Problem ◽

Element Analysis

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