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:
Gerd Wachsmuth , Daniel Wachsmuth
ESAIM: COCV, 17 3 (2011) 858-886
Published online: 2010-08-06
This article has been cited by the following article(s):
89 articles
The largest-
K
-norm for general measure spaces and a DC reformulation for
L
0
-constrained problems in function spaces
Bastian Dittrich and Daniel Wachsmuth Optimization Methods and Software 1 (2025) https://doi.org/10.1080/10556788.2025.2460683
Optimality conditions in terms of Bouligand generalized differentials for a nonsmooth semilinear elliptic optimal control problem with distributed and boundary control pointwise constraints
Vu Huu Nhu and Nguyen Hai Son Mathematical Control and Related Fields 15 (4) 1538 (2025) https://doi.org/10.3934/mcrf.2025004
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds
Francisco Bersetche, Francisco Fuica, Enrique Otárola and Daniel Quero Applied Mathematics & Optimization 91 (1) (2025) https://doi.org/10.1007/s00245-024-10200-y
Solving semi-linear elliptic optimal control problems with $$L^1$$-cost via regularization and RAS-preconditioned newton methods
Gabriele Ciaramella, Michael Kartmann and Georg Müller Numerical Algorithms (2025) https://doi.org/10.1007/s11075-025-02209-3
Adaptive Finite Element Approximation of Sparse Optimal Control Problem with Integral Fractional Laplacian
Fangyuan Wang, Qiming Wang and Zhaojie Zhou Journal of Scientific Computing 102 (1) (2025) https://doi.org/10.1007/s10915-024-02739-3
An Efficient Active-Set method With Applications to Sparse Approximations and Risk Minimization
Spyridon Pougkakiotis, Jacek Gondzio and Dionysis Kalogerias Journal of Scientific Computing 104 (2) (2025) https://doi.org/10.1007/s10915-025-02933-x
Optimality conditions and Lipschitz stability for non-smooth semilinear elliptic optimal control problems with sparse controls
Vu Huu Nhu and Phan Quang Sang Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118 (3) (2024) https://doi.org/10.1007/s13398-024-01595-y
A Three-Block Inexact Heterogeneous Alternating Direction Method of Multipliers for Elliptic PDE-Constrained Optimization Problems with a Control Gradient Penalty Term
Xiaotong Chen, Tongtong Wang and Xiaoliang Song Axioms 13 (11) 744 (2024) https://doi.org/10.3390/axioms13110744
Sparse optimal control of Timoshenko's beam using a locking‐free finite element approximation
Erwin Hernández and Pedro Merino Optimal Control Applications and Methods 45 (3) 1007 (2024) https://doi.org/10.1002/oca.3085
An iDCA with Sieving Strategy for PDE-Constrained Optimization Problems with $$L^{1-2}$$-Control Cost
Yu Zhang, Xiaoliang Song, Bo Yu and Mingcai Ding Journal of Scientific Computing 99 (1) (2024) https://doi.org/10.1007/s10915-024-02489-2
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach
Yongcun Song, Xiaoming Yuan and Hangrui Yue SIAM Journal on Scientific Computing 46 (6) C659 (2024) https://doi.org/10.1137/23M1566935
A Zeroth-Order Proximal Stochastic Gradient Method for Weakly Convex Stochastic Optimization
Spyridon Pougkakiotis and Dionysis Kalogerias SIAM Journal on Scientific Computing 45 (5) A2679 (2023) https://doi.org/10.1137/22M1494270
Reliable Error Estimates for Optimal Control of Linear Elliptic PDEs with Random Inputs
Johannes Milz SIAM/ASA Journal on Uncertainty Quantification 11 (4) 1139 (2023) https://doi.org/10.1137/22M1503889
The Sparsity of Control for the DirichletBoundary Control Problem is Limitedby the Parabolic Equation
小进 文 Pure Mathematics 13 (10) 3048 (2023) https://doi.org/10.12677/PM.2023.1310315
A Multilevel Heterogeneous ADMM Algorithm for Elliptic Optimal Control Problems with L1-Control Cost
Xiaotong Chen, Xiaoliang Song, Zixuan Chen and Lijun Xu Mathematics 11 (3) 570 (2023) https://doi.org/10.3390/math11030570
Control of multi-agent systems: Results, open problems, and applications
Benedetto Piccoli Open Mathematics 21 (1) (2023) https://doi.org/10.1515/math-2022-0585
New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
Eduardo Casas, Alberto Domínguez Corella and Nicolai Jork SIAM Journal on Control and Optimization 61 (3) 1394 (2023) https://doi.org/10.1137/22M149199X
A two-stage numerical approach for the sparse initial source identification of a diffusion–advection equation
*
Umberto Biccari, Yongcun Song, Xiaoming Yuan and Enrique Zuazua Inverse Problems 39 (9) 095003 (2023) https://doi.org/10.1088/1361-6420/ace548
Time‐optimal L1/L2 norms optimal control for linear time‐invariant systems
Heng Mai, Xuesong Chen and Zhaoyang Yin Optimal Control Applications and Methods 44 (4) 1686 (2023) https://doi.org/10.1002/oca.2953
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
Xiaoliang Song and Bo Yu Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 623 (2023) https://doi.org/10.1007/978-3-030-98661-2_129
An Optimal Control Problem for the Navier–Stokes Equations with Point Sources
Francisco Fuica, Felipe Lepe, Enrique Otárola and Daniel Quero Journal of Optimization Theory and Applications 196 (2) 590 (2023) https://doi.org/10.1007/s10957-022-02148-2
The proximal map of the weighted mean absolute error
Lukas Baumgärtner, Roland Herzog, Stephan Schmidt and Manuel Weiß PAMM 23 (4) (2023) https://doi.org/10.1002/pamm.202300042
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging
Song Xiaoliang and Yu Bo Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 1 (2022) https://doi.org/10.1007/978-3-030-03009-4_129-1
On fast convergence rates for generalized conditional gradient methods with backtracking stepsize
Karl Kunisch and Daniel Walter Numerical Algebra, Control and Optimization (2022) https://doi.org/10.3934/naco.2022026
Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces
Patrick Mehlitz and Gerd Wachsmuth SIAM Journal on Control and Optimization 60 (3) 1819 (2022) https://doi.org/10.1137/21M1435173
23 115 (2022) https://doi.org/10.1016/bs.hna.2021.12.004
On the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal control
Vu Huu Nhu Optimization 71 (14) 4289 (2022) https://doi.org/10.1080/02331934.2021.1939698
A conjugate gradient method for distributed optimal control problems with nonhomogeneous Helmholtz equation
Zemian Zhang and Xuesong Chen Applied Mathematics and Computation 402 126019 (2021) https://doi.org/10.1016/j.amc.2021.126019
An adaptive finite element method for the sparse optimal control of fractional diffusion
Enrique Otárola Numerical Methods for Partial Differential Equations 36 (2) 302 (2020) https://doi.org/10.1002/num.22429
Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators
Constantin Christof and Gerd Wachsmuth Applied Mathematics & Optimization 81 (1) 23 (2020) https://doi.org/10.1007/s00245-018-09553-y
MultiDimensional Sum-Up Rounding for Elliptic Control Systems
Paul Manns and Christian Kirches SIAM Journal on Numerical Analysis 58 (6) 3427 (2020) https://doi.org/10.1137/19M1260682
Interior‐point methods and preconditioning for PDE‐constrained optimization problems involving sparsity terms
John W. Pearson, Margherita Porcelli and Martin Stoll Numerical Linear Algebra with Applications 27 (2) (2020) https://doi.org/10.1002/nla.2276
Adaptive finite element methods for sparse PDE-constrained optimization
E Otárola, F Fuica and A Allendes IMA Journal of Numerical Analysis 40 (3) 2106 (2020) https://doi.org/10.1093/imanum/drz025
Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost
Haitao Leng, Yanping Chen and Yunqing Huang Computers & Mathematics with Applications 77 (2) 342 (2019) https://doi.org/10.1016/j.camwa.2018.09.038
An a posteriori error analysis of an elliptic optimal control problem in measure space
Francisco Fuica, Enrique Otárola and Abner J. Salgado Computers & Mathematics with Applications 77 (10) 2659 (2019) https://doi.org/10.1016/j.camwa.2018.12.043
On Sparse Optimal Control for General Linear Systems
Takuya Ikeda and Kenji Kashima IEEE Transactions on Automatic Control 64 (5) 2077 (2019) https://doi.org/10.1109/TAC.2018.2863220
Iterative Hard-Thresholding Applied to Optimal Control Problems with $L^0(\Omega)$ Control Cost
Daniel Wachsmuth SIAM Journal on Control and Optimization 57 (2) 854 (2019) https://doi.org/10.1137/18M1194602
Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation
Zhousheng Ruan, Sen Zhang and Wen Zhang Computers & Mathematics with Applications 77 (5) 1408 (2019) https://doi.org/10.1016/j.camwa.2018.11.012
Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls
Lucas Bonifacius, Konstantin Pieper and Boris Vexler SIAM Journal on Control and Optimization 57 (3) 1730 (2019) https://doi.org/10.1137/18M1213816
Bouligand–Landweber iteration for a non-smooth ill-posed problem
Christian Clason and Vu Huu Nhu Numerische Mathematik 142 (4) 789 (2019) https://doi.org/10.1007/s00211-019-01038-6
Inexact Iterative Bregman Method for Optimal Control Problems
Frank Pörner Numerical Functional Analysis and Optimization 39 (4) 491 (2018) https://doi.org/10.1080/01630563.2017.1378232
An FE-Inexact Heterogeneous ADMM for Elliptic Optimal Control Problems with L1-Control Cost
Xiaoliang Song, Bo Yu, Yiyang Wang and Xuping Zhang Journal of Systems Science and Complexity 31 (6) 1659 (2018) https://doi.org/10.1007/s11424-018-7448-6
Regularization and discretization error estimates for optimal control of ODEs with group sparsity
Christopher Schneider and Gerd Wachsmuth ESAIM: Control, Optimisation and Calculus of Variations 24 (2) 811 (2018) https://doi.org/10.1051/cocv/2017049
Tikhonov regularization of control-constrained optimal control problems
Nikolaus von Daniels Computational Optimization and Applications 70 (1) 295 (2018) https://doi.org/10.1007/s10589-017-9976-8
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity
Eduardo Casas, Mariano Mateos and Arnd Rösch Computational Optimization and Applications 70 (1) 239 (2018) https://doi.org/10.1007/s10589-018-9979-0
New Trends in Parameter Identification for Mathematical Models
Christian Clason and Thi Bich Tram Do Trends in Mathematics, New Trends in Parameter Identification for Mathematical Models 31 (2018) https://doi.org/10.1007/978-3-319-70824-9_2
An efficient duality-based approach for PDE-constrained sparse optimization
Xiaoliang Song, Bo Chen and Bo Yu Computational Optimization and Applications 69 (2) 461 (2018) https://doi.org/10.1007/s10589-017-9951-4
Sparse Optimal Control for Fractional Diffusion
Enrique Otárola and Abner J. Salgado Computational Methods in Applied Mathematics 18 (1) 95 (2018) https://doi.org/10.1515/cmam-2017-0030
A Joint Tikhonov Regularization and Augmented Lagrange Approach for Ill-Posed State Constrained Control Problems with Sparse Controls
Veronika Karl and Frank Pörner Numerical Functional Analysis and Optimization 39 (14) 1543 (2018) https://doi.org/10.1080/01630563.2018.1486858
Error estimates for the approximation of multibang control problems
Christian Clason, Thi Bich Tram Do and Frank Pörner Computational Optimization and Applications 71 (3) 857 (2018) https://doi.org/10.1007/s10589-018-0026-y
A priori stopping rule for an iterative Bregman method for optimal control problems
Frank Pörner Optimization Methods and Software 33 (2) 249 (2018) https://doi.org/10.1080/10556788.2017.1300661
Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations
Arnd Rösch and Gerd Wachsmuth SIAM Journal on Numerical Analysis 55 (3) 1412 (2017) https://doi.org/10.1137/16M1074473
Sufficient Second-Order Conditions for Bang-Bang Control Problems
Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth SIAM Journal on Control and Optimization 55 (5) 3066 (2017) https://doi.org/10.1137/16M1099674
Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals
Andreas Schindele and Alfio Borzì International Journal of Control 90 (11) 2349 (2017) https://doi.org/10.1080/00207179.2016.1245870
Active Particles, Volume 1
Mattia Bongini and Massimo Fornasier Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 1 173 (2017) https://doi.org/10.1007/978-3-319-49996-3_5
A review on sparse solutions in optimal control of partial differential equations
Eduardo Casas SeMA Journal 74 (3) 319 (2017) https://doi.org/10.1007/s40324-017-0121-5
Optimal control of convective FitzHugh–Nagumo equation
Murat Uzunca, Tuğba Küçükseyhan, Hamdullah Yücel and Bülent Karasözen Computers & Mathematics with Applications 73 (9) 2151 (2017) https://doi.org/10.1016/j.camwa.2017.02.028
An iterative Bregman regularization method for optimal control problems with inequality constraints
Frank Pörner and Daniel Wachsmuth Optimization 65 (12) 2195 (2016) https://doi.org/10.1080/02331934.2016.1238082
An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation
Zhousheng Ruan, Zhijian Yang and Xiliang Lu Advances in Applied Mathematics and Mechanics 8 (1) 1 (2016) https://doi.org/10.4208/aamm.2014.m722
Analysis of the Velocity Tracking Control Problem for the 3D Evolutionary Navier--Stokes Equations
Eduardo Casas and Konstantinos Chrysafinos SIAM Journal on Control and Optimization 54 (1) 99 (2016) https://doi.org/10.1137/140978107
Quantum Optimal Control Problems with a Sparsity Cost Functional
Gabriele Ciaramella and Alfio Borzì Numerical Functional Analysis and Optimization 37 (8) 938 (2016) https://doi.org/10.1080/01630563.2016.1184166
Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional
Andreas Schindele and Alfio Borzì Applied Mathematics 07 (09) 967 (2016) https://doi.org/10.4236/am.2016.79086
A LONE code for the sparse control of quantum systems
G. Ciaramella and A. Borzì Computer Physics Communications 200 312 (2016) https://doi.org/10.1016/j.cpc.2015.10.028
Control of Self-Organizing Nonlinear Systems
Christopher Ryll, Jakob Löber, Steffen Martens, Harald Engel and Fredi Tröltzsch Understanding Complex Systems, Control of Self-Organizing Nonlinear Systems 189 (2016) https://doi.org/10.1007/978-3-319-28028-8_10
Second-Order Optimality Conditions for Weak and Strong Local Solutions of Parabolic Optimal Control Problems
Eduardo Casas and Fredi Tröltzsch Vietnam Journal of Mathematics 44 (1) 181 (2016) https://doi.org/10.1007/s10013-015-0175-6
Regularization and implicit Euler discretization of linear-quadratic optimal control problems with bang-bang solutions
Walter Alt, Christopher Schneider and Martin Seydenschwanz Applied Mathematics and Computation 287-288 104 (2016) https://doi.org/10.1016/j.amc.2016.04.028
Sparse stabilization and control of alignment models
Marco Caponigro, Massimo Fornasier, Benedetto Piccoli and Emmanuel Trélat Mathematical Models and Methods in Applied Sciences 25 (03) 521 (2015) https://doi.org/10.1142/S0218202515400059
Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation
Eduardo Casas, Christopher Ryll and Fredi Tröltzsch SIAM Journal on Control and Optimization 53 (4) 2168 (2015) https://doi.org/10.1137/140978855
Sparse initial data identification for parabolic PDE and its finite element approximations
Eduardo Casas, Boris Vexler and Enrique Zuazua Mathematical Control & Related Fields 5 (3) 377 (2015) https://doi.org/10.3934/mcrf.2015.5.377
Annular and sectorial sparsity in optimal control of elliptic equations
Roland Herzog, Johannes Obermeier and Gerd Wachsmuth Computational Optimization and Applications 62 (1) 157 (2015) https://doi.org/10.1007/s10589-014-9721-5
Linear-quadratic control problems withL1-control cost
Walter Alt and Christopher Schneider Optimal Control Applications and Methods 36 (4) 512 (2015) https://doi.org/10.1002/oca.2126
Robust error estimates for regularization and discretization of bang–bang control problems
Daniel Wachsmuth Computational Optimization and Applications 62 (1) 271 (2015) https://doi.org/10.1007/s10589-014-9645-0
System Modeling and Optimization
Christopher Schneider and Walter Alt IFIP Advances in Information and Communication Technology, System Modeling and Optimization 443 296 (2014) https://doi.org/10.1007/978-3-662-45504-3_29
Optimal Control of Semilinear Elliptic Equations in Measure Spaces
Eduardo Casas and Karl Kunisch SIAM Journal on Control and Optimization 52 (1) 339 (2014) https://doi.org/10.1137/13092188X
Second-Order and Stability Analysis for State-Constrained Elliptic Optimal Control Problems with Sparse Controls
Eduardo Casas and Fredi Tröltzsch SIAM Journal on Control and Optimization 52 (2) 1010 (2014) https://doi.org/10.1137/130917314
Mean-Field Optimal Control
Massimo Fornasier and Francesco Solombrino ESAIM: Control, Optimisation and Calculus of Variations 20 (4) 1123 (2014) https://doi.org/10.1051/cocv/2014009
Mean-field sparse optimal control
Massimo Fornasier, Benedetto Piccoli and Francesco Rossi Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372 (2028) 20130400 (2014) https://doi.org/10.1098/rsta.2013.0400
A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints
Samuel Amstutz and Antoine Laurain Computational Optimization and Applications 56 (2) 369 (2013) https://doi.org/10.1007/s10589-013-9555-6
System Modeling and Optimization
Daniel Wachsmuth and Gerd Wachsmuth IFIP Advances in Information and Communication Technology, System Modeling and Optimization 391 145 (2013) https://doi.org/10.1007/978-3-642-36062-6_15
Spike controls for elliptic and parabolic PDEs
E. Casas and E. Zuazua Systems & Control Letters 62 (4) 311 (2013) https://doi.org/10.1016/j.sysconle.2013.01.001
Energy Minimization Methods in Computer Vision and Pattern Recognition
Laurent Hoeltgen, Simon Setzer and Joachim Weickert Lecture Notes in Computer Science, Energy Minimization Methods in Computer Vision and Pattern Recognition 8081 151 (2013) https://doi.org/10.1007/978-3-642-40395-8_12
A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space
Konstantin Pieper and Boris Vexler SIAM Journal on Control and Optimization 51 (4) 2788 (2013) https://doi.org/10.1137/120889137
Sparse stabilization and optimal control of the Cucker-Smale model
Marco Caponigro, Massimo Fornasier, Benedetto Piccoli and Emmanuel Trélat Mathematical Control & Related Fields 3 (4) 447 (2013) https://doi.org/10.3934/mcrf.2013.3.447
Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with $L^1$ Cost Functional
Eduardo Casas, Roland Herzog and Gerd Wachsmuth SIAM Journal on Optimization 22 (3) 795 (2012) https://doi.org/10.1137/110834366
Approximation of sparse controls in semilinear equations by piecewise linear functions
Eduardo Casas, Roland Herzog and Gerd Wachsmuth Numerische Mathematik 122 (4) 645 (2012) https://doi.org/10.1007/s00211-012-0475-7
Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions
Eduardo Casas, Christian Clason and Karl Kunisch SIAM Journal on Control and Optimization 50 (4) 1735 (2012) https://doi.org/10.1137/110843216
Large-Scale Scientific Computing
Eduardo Casas, Roland Herzog and Gerd Wachsmuth Lecture Notes in Computer Science, Large-Scale Scientific Computing 7116 16 (2012) https://doi.org/10.1007/978-3-642-29843-1_2
Directional Sparsity in Optimal Control of Partial Differential Equations
Roland Herzog, Georg Stadler and Gerd Wachsmuth SIAM Journal on Control and Optimization 50 (2) 943 (2012) https://doi.org/10.1137/100815037
Karush–Kuhn–Tucker Conditions for Nonsmooth Mathematical Programming Problems in Function Spaces
Kazufumi Ito and Karl Kunisch SIAM Journal on Control and Optimization 49 (5) 2133 (2011) https://doi.org/10.1137/100817061