EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 25 6 (1991) 711-748 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A two level finite element method for Stokes constrained Dirichlet boundary control problem

Thirupathi Gudi and Ramesh Ch. Sau
Computers & Mathematics with Applications 129 126 (2023)
https://doi.org/10.1016/j.camwa.2022.11.026

Finite element approximation to optimal Dirichlet boundary control problem: A priori and a posteriori error estimates

Shaohong Du and Xiaoxia He
Computers & Mathematics with Applications 131 14 (2023)
https://doi.org/10.1016/j.camwa.2022.11.022

Pressure-Robustness in the Context of Optimal Control

Christian Merdon and Winnifried Wollner
SIAM Journal on Control and Optimization 61 (1) 342 (2023)
https://doi.org/10.1137/22M1482603

A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion

Yongxing Wang, Thomas Ranner, Thomas P. Ilett, Yan Xia and Netta Cohen
Computational Mechanics 71 (3) 409 (2023)
https://doi.org/10.1007/s00466-022-02247-x

Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem

Divay Garg and Kamana Porwal
Applied Numerical Mathematics 185 336 (2023)
https://doi.org/10.1016/j.apnum.2022.12.001

Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations

Wenju Zhao and Max Gunzburger
Applied Mathematics & Optimization 87 (1) (2023)
https://doi.org/10.1007/s00245-022-09910-y

Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in $$\mathbf{L} ^2(\Gamma )$$

Kaiye Zhou and Wei Gong
Journal of Scientific Computing 91 (2) (2022)
https://doi.org/10.1007/s10915-022-01831-w

Alternating direction based method for optimal control problem constrained by Stokes equation

Yu Gao, Jingzhi Li, Yongcun Song, Chao Wang and Kai Zhang
Journal of Inverse and Ill-posed Problems 30 (1) 81 (2022)
https://doi.org/10.1515/jiip-2020-0101

Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space

Wei Gong, Mariano Mateos, John Singler and Yangwen Zhang
SIAM Journal on Numerical Analysis 60 (1) 450 (2022)
https://doi.org/10.1137/21M1406799

Optimal Control of Partial Differential Equations

Andrea Manzoni, Alfio Quarteroni and Sandro Salsa
Applied Mathematical Sciences, Optimal Control of Partial Differential Equations 207 103 (2021)
https://doi.org/10.1007/978-3-030-77226-0_5

Adaptive Finite Element Method for Dirichlet Boundary Control of Elliptic Partial Differential Equations

Shaohong Du and Zhiqiang Cai
Journal of Scientific Computing 89 (2) (2021)
https://doi.org/10.1007/s10915-021-01644-3

Optimal Control of Partial Differential Equations

Andrea Manzoni, Alfio Quarteroni and Sandro Salsa
Applied Mathematical Sciences, Optimal Control of Partial Differential Equations 207 325 (2021)
https://doi.org/10.1007/978-3-030-77226-0_10

Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations

Sudipto Chowdhury, Neela Nataraj and Devika Shylaja
Computational Methods in Applied Mathematics 21 (1) 233 (2021)
https://doi.org/10.1515/cmam-2020-0030

A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs

Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang and Xiaobo Zheng
Numerische Mathematik 144 (2) 375 (2020)
https://doi.org/10.1007/s00211-019-01090-2

Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem

Thirupathi Gudi and Ramesh Ch. Sau
ESAIM: Control, Optimisation and Calculus of Variations 26 78 (2020)
https://doi.org/10.1051/cocv/2019068

Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations

Xiaoli Li and Jie Shen
SIAM Journal on Numerical Analysis 58 (5) 2465 (2020)
https://doi.org/10.1137/19M1288267

Penalization of Dirichlet Boundary Control for Nonstationary Magneto-Hydrodynamics

Sivaguru S. Ravindran
SIAM Journal on Control and Optimization 58 (4) 2354 (2020)
https://doi.org/10.1137/18M1233716

Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler and Yangwen Zhang
ESAIM: Mathematical Modelling and Numerical Analysis 54 (6) 2229 (2020)
https://doi.org/10.1051/m2an/2020015

An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs

Gang Chen, John R. Singler and Yangwen Zhang
SIAM Journal on Numerical Analysis 57 (4) 1919 (2019)
https://doi.org/10.1137/18M1208708

An Error Analysis of Discontinuous Finite Element Methods for the Optimal Control Problems Governed by Stokes Equation

Asha K. Dond, Thirupathi Gudi and Ramesh C.H. Sau
Numerical Functional Analysis and Optimization 40 (4) 421 (2019)
https://doi.org/10.1080/01630563.2018.1538158

Control Problem for a Magneto-Micropolar Flow with Mixed Boundary Conditions for the Velocity Field

Exequiel Mallea-Zepeda and Elva Ortega-Torres
Journal of Dynamical and Control Systems 25 (4) 599 (2019)
https://doi.org/10.1007/s10883-018-9427-6

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Andrea Manzoni, Alfio Quarteroni and Sandro Salsa
Mathematics in Engineering 1 (2) 252 (2019)
https://doi.org/10.3934/mine.2019.2.252

A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs

Gang Chen, Guosheng Fu, John R. Singler and Yangwen Zhang
Journal of Scientific Computing 81 (2) 623 (2019)
https://doi.org/10.1007/s10915-019-01043-9

A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity

Wei Gong, Weiwei Hu, Mariano Mateos, et al.
SIAM Journal on Numerical Analysis 56 (4) 2262 (2018)
https://doi.org/10.1137/17M1152103

Injection-Suction Control for Two-Dimensional Navier--Stokes Equations with Slippage

Nikolai Chemetov and Fernanda Cipriano
SIAM Journal on Control and Optimization 56 (2) 1253 (2018)
https://doi.org/10.1137/17M1121196

Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations

Gouranga Mallik, Neela Nataraj and Jean-Pierre Raymond
ESAIM: Mathematical Modelling and Numerical Analysis 52 (3) 1137 (2018)
https://doi.org/10.1051/m2an/2018023

Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier–Stokes equations

Sivaguru S. Ravindran
ESAIM: Mathematical Modelling and Numerical Analysis 51 (3) 825 (2017)
https://doi.org/10.1051/m2an/2016040

A C0 interior penalty method for the Dirichlet control problem governed by biharmonic operator

Sudipto Chowdhury and Thirupathi Gudi
Journal of Computational and Applied Mathematics 317 290 (2017)
https://doi.org/10.1016/j.cam.2016.12.005

Optimal control problems for the Navier–Stokes system coupled with the k-ω turbulence model

Sandro Manservisi and Filippo Menghini
Computers & Mathematics with Applications 71 (11) 2389 (2016)
https://doi.org/10.1016/j.camwa.2015.10.003

Impulse and Sampled-Data Optimal Control of Heat Equations, and Error Estimates

Emmanuel Trélat, Lijuan Wang and Yubiao Zhang
SIAM Journal on Control and Optimization 54 (5) 2787 (2016)
https://doi.org/10.1137/15M1040670

THE h × p FINITE ELEMENT METHOD FOR OPTIMAL CONTROL PROBLEMS CONSTRAINED BY STOCHASTIC ELLIPTIC PDES

HYUNG-CHUN LEE and GWOON LEE
Journal of the Korea Society for Industrial and Applied Mathematics 19 (4) 387 (2015)
https://doi.org/10.12941/jksiam.2015.19.387

An energy space finite element approach for elliptic Dirichlet boundary control problems

G. Of, T. X. Phan and O. Steinbach
Numerische Mathematik 129 (4) 723 (2015)
https://doi.org/10.1007/s00211-014-0653-x

A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC0IP Methods

Sudipto Chowdhury, Thirupathi Gudi and A. K. Nandakumaran
Numerical Functional Analysis and Optimization 36 (11) 1388 (2015)
https://doi.org/10.1080/01630563.2015.1068182

A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients

Yanping Chen, Yunqing Huang, Wenbin Liu and Ningning Yan
Computers & Mathematics with Applications 70 (4) 297 (2015)
https://doi.org/10.1016/j.camwa.2015.03.020

Reduced basis approximation of parametrized optimal flow control problems for the Stokes equations

Federico Negri, Andrea Manzoni and Gianluigi Rozza
Computers & Mathematics with Applications 69 (4) 319 (2015)
https://doi.org/10.1016/j.camwa.2014.12.010

Smooth and robust solutions for Dirichlet boundary control of fluid–solid conjugate heat transfer problems

Yan Yan and David E. Keyes
Journal of Computational Physics 281 759 (2015)
https://doi.org/10.1016/j.jcp.2014.10.049

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

Yanping Chen, Zuliang Lu and Min Fu
Optimization Methods and Software 28 (1) 37 (2013)
https://doi.org/10.1080/10556788.2011.582500

Stability estimates for the solutions of control problems for the stationary magnetohydrodynamic equations

G. V. Alekseev and R. V. Brizitskii
Differential Equations 48 (3) 397 (2012)
https://doi.org/10.1134/S0012266112030111

Symmetric error estimates for discontinuous Galerkin approximations for an optimal control problem associated to semilinear parabolic PDE's

Konstantinos Chrysafinos and Efthimios N. Karatzas
Discrete & Continuous Dynamical Systems - B 17 (5) 1473 (2012)
https://doi.org/10.3934/dcdsb.2012.17.1473

A Variational Data Assimilation Procedure for the Incompressible Navier-Stokes Equations in Hemodynamics

Marta D’Elia, Mauro Perego and Alessandro Veneziani
Journal of Scientific Computing 52 (2) 340 (2012)
https://doi.org/10.1007/s10915-011-9547-6

Error Estimates of Stochastic Optimal Neumann Boundary Control Problems

Max D. Gunzburger, Hyung-Chun Lee and Jangwoon Lee
SIAM Journal on Numerical Analysis 49 (4) 1532 (2011)
https://doi.org/10.1137/100801731

Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs

L.S. Hou, J. Lee and H. Manouzi
Journal of Mathematical Analysis and Applications 384 (1) 87 (2011)
https://doi.org/10.1016/j.jmaa.2010.07.036

Optimal control of the Stokes equations: conforming and non-conforming finite element methods under reduced regularity

Serge Nicaise and Dieter Sirch
Computational Optimization and Applications 49 (3) 567 (2011)
https://doi.org/10.1007/s10589-009-9305-y

Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's

Konstantinos Chrysafinos
ESAIM: Mathematical Modelling and Numerical Analysis 44 (1) 189 (2010)
https://doi.org/10.1051/m2an/2009046

A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems

Yanping Chen, Lingli Liu and Zuliang Lu
Numerical Functional Analysis and Optimization 31 (10) 1135 (2010)
https://doi.org/10.1080/01630563.2010.492046

Active Flow Control II

Christian John, Bernd R. Noack, Michael Schlegel, Fredi Tröltzsch and Daniel Wachsmuth
Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Active Flow Control II 108 405 (2010)
https://doi.org/10.1007/978-3-642-11735-0_26

On the uniqueness and stability of solutions of extremal problems for the stationary Navier-Stokes equations

G. V. Alekseev and R. V. Brizitskii
Differential Equations 46 (1) 70 (2010)
https://doi.org/10.1134/S0012266110010088

Boundary element methods for Dirichlet boundary control problems

Günther Of, Thanh Xuan Phan and Olaf Steinbach
Mathematical Methods in the Applied Sciences 33 (18) 2187 (2010)
https://doi.org/10.1002/mma.1356

Optimal control problems for the two dimensional Rayleigh—Bénard type convection by a gradient method

Hyung -Chun Lee
Japan Journal of Industrial and Applied Mathematics 26 (1) 93 (2009)
https://doi.org/10.1007/BF03167547

Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations

Konstantinos Chrysafinos
Journal of Computational and Applied Mathematics 231 (1) 327 (2009)
https://doi.org/10.1016/j.cam.2009.02.092

Optimal Dirichlet Boundary Control of Stationary Navier–Stokes Equations with State Constraint

C. John and D. Wachsmuth
Numerical Functional Analysis and Optimization 30 (11-12) 1309 (2009)
https://doi.org/10.1080/01630560903499001

Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations

Eduardo Casas, Mariano Mateos and Jean-Pierre Raymond
SIAM Journal on Control and Optimization 46 (3) 952 (2007)
https://doi.org/10.1137/060649999

Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations

K. Kunisch and B. Vexler
SIAM Journal on Control and Optimization 46 (5) 1726 (2007)
https://doi.org/10.1137/060670110

Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE

K. Chrysafinos, M.D. Gunzburger and L.S. Hou
Journal of Mathematical Analysis and Applications 323 (2) 891 (2006)
https://doi.org/10.1016/j.jmaa.2005.10.053

Primal–dual active set method for control constrained optimal control of the Stokes equations

J. C. De Los Reyes
Optimization Methods and Software 21 (2) 267 (2006)
https://doi.org/10.1080/10556780500140052

Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

Eduardo Casas and Jean‐Pierre Raymond
SIAM Journal on Control and Optimization 45 (5) 1586 (2006)
https://doi.org/10.1137/050626600

A computational multilevel approach for solving 2D Navier–Stokes equations over non-matching grids

E. Aulisa, S. Manservisi and P. Seshaiyer
Computer Methods in Applied Mechanics and Engineering 195 (33-36) 4604 (2006)
https://doi.org/10.1016/j.cma.2005.10.011

Robust Optimization-Directed Design

E. Aulisa and S. Manservisi
Nonconvex Optimization and Its Applications, Robust Optimization-Directed Design 81 3 (2006)
https://doi.org/10.1007/0-387-28654-3_1

Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing

Arnd Rösch and Boris Vexler
SIAM Journal on Numerical Analysis 44 (5) 1903 (2006)
https://doi.org/10.1137/050637364

Moving Mesh Finite Element Methods for an Optimal Control Problem for the Advection-Diffusion Equation

Konstantinos Chrysafinos
Journal of Scientific Computing 25 (3) 401 (2005)
https://doi.org/10.1007/s10915-004-4804-6

Error Estimates for the Velocity Tracking Problem for Navier–Stokes Flows Based on the Artificial Compressibility Formulation

Konstantinos Chrysafinos
Numerical Functional Analysis and Optimization 26 (7-8) 773 (2005)
https://doi.org/10.1080/01630560500377311

A semi-smooth Newton method for control constrained boundary optimal control of the Navier–Stokes equations

J.C. de los Reyes and K. Kunisch
Nonlinear Analysis: Theory, Methods & Applications 62 (7) 1289 (2005)
https://doi.org/10.1016/j.na.2005.04.035

Analysis and finite element error estimates for the velocity tracking problem for Stokes flowsviaa penalized formulation

Konstantinos Chrysafinos
ESAIM: Control, Optimisation and Calculus of Variations 10 (4) 574 (2004)
https://doi.org/10.1051/cocv:2004021

A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations

Wenbin Liu, Heping Ma, Tao Tang and Ningning Yan
SIAM Journal on Numerical Analysis 42 (3) 1032 (2004)
https://doi.org/10.1137/S0036142902397090

FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF OPTIMAL DIRICHLET BOUNDARY CONTROL PROBLEMS FOR THE BOUSSINESQ EQUATIONS

Hyung-Chun Lee and Soo-Hyun Kim
Journal of the Korean Mathematical Society 41 (4) 681 (2004)
https://doi.org/10.4134/JKMS.2004.41.4.681

Second order methods for boundary control of the instationary Navier‐Stokes system

M. Hinze and K. Kunisch
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 84 (3) 171 (2004)
https://doi.org/10.1002/zamm.200310094

Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control

M. D. Gunzburger and S. Manservisi
SIAM Journal on Numerical Analysis 37 (5) 1481 (2000)
https://doi.org/10.1137/S0036142997329414

Analysis of Neumann Boundary Optimal Control Problems for the Stationary Boussinesq Equations Including Solid Media

Hyung-Chun Lee and O. Yu. Imanuvilov
SIAM Journal on Control and Optimization 39 (2) 457 (2000)
https://doi.org/10.1137/S0363012998347110

An Optimization-Based Domain Decomposition Method for the Navier--Stokes Equations

Max D. Gunzburger and Hyesuk Kwon Lee
SIAM Journal on Numerical Analysis 37 (5) 1455 (2000)
https://doi.org/10.1137/S0036142998332864

On a shape control problem for the stationary Navier-Stokes equations

Max D. Gunzburger, Hongchul Kim and Sandro Manservisi
ESAIM: Mathematical Modelling and Numerical Analysis 34 (6) 1233 (2000)
https://doi.org/10.1051/m2an:2000125

The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control

M. D. Gunzburger and S. Manservisi
SIAM Journal on Control and Optimization 39 (2) 594 (2000)
https://doi.org/10.1137/S0363012999353771

Analysis of Optimal Control Problems for the 2-D Stationary Boussinesq Equations

Hyung-Chun Lee and O.Yu. Imanuvilov
Journal of Mathematical Analysis and Applications 242 (2) 191 (2000)
https://doi.org/10.1006/jmaa.1999.6651

Existence and Characterization of an Optimal Control for the Problem of Long Waves in a Shallow-Water Model

Aziz Belmiloudi
SIAM Journal on Control and Optimization 39 (5) 1558 (2000)
https://doi.org/10.1137/S0363012999335961

Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results

L. S. Hou and S. S. Ravindran
SIAM Journal on Scientific Computing 20 (5) 1753 (1999)
https://doi.org/10.1137/S1064827597325153

The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls

M. D. Gunzburger and S. Manservisi
SIAM Journal on Control and Optimization 37 (6) 1913 (1999)
https://doi.org/10.1137/S0363012998337400

Computations of Optimal Controls for Incompressible Flows

M. D. GUNZBURGER, L. S. HOU, S. MANSERVISIM and Y. Yan
International Journal of Computational Fluid Dynamics 11 (1-2) 181 (1998)
https://doi.org/10.1080/10618569808940872

A Penalized Neumann Control Approach for Solving an Optimal Dirichlet Control Problem for the Navier--Stokes Equations

L. S. Hou and S. S. Ravindran
SIAM Journal on Control and Optimization 36 (5) 1795 (1998)
https://doi.org/10.1137/S0363012996304870

Solvability of stationary boundary control problems for heat convection equations

G. V. Alekseev
Siberian Mathematical Journal 39 (5) 844 (1998)
https://doi.org/10.1007/BF02672906

Existence of an Optimal Solution of a Shape Control Problem for the Stationary Navier--Stokes Equations

Max D. Gunzburger and Hongchul Kim
SIAM Journal on Control and Optimization 36 (3) 895 (1998)
https://doi.org/10.1137/S0363012994276123

Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case

A. V. Fursikov, M. D. Gunzburger and L. S. Hou
SIAM Journal on Control and Optimization 36 (3) 852 (1998)
https://doi.org/10.1137/S0363012994273374

Numerical Solution of Optimal Distributed Control Problems for Incompressible Flows

L. S. HOU, S. S. RAVINDRAN and Y. YAN
International Journal of Computational Fluid Dynamics 8 (2) 99 (1997)
https://doi.org/10.1080/10618569708940798