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:
Christian Clason , Karl Kunisch
ESAIM: COCV, 17 1 (2011) 243-266
Published online: 2010-03-24
This article has been cited by the following article(s):
71 articles
Error estimates for a bubble-enriched C0 interior penalty method to a reduced state constrained elliptic optimal control problem
Thirupathi Gudi and Pratibha Shakya Journal of Computational and Applied Mathematics 460 116397 (2025) https://doi.org/10.1016/j.cam.2024.116397
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
A single level set function approach for multiple material-phases applied to full-waveform inversion in the time domain
P B de Castro, E C N Silva and E A Fancello Inverse Problems 40 (5) 055002 (2024) https://doi.org/10.1088/1361-6420/ad2eca
A fast primal-dual-active-jump method for minimization in BV((0,T) ℝ
d
)
Philip Trautmann and Daniel Walter Optimization 73 (6) 1851 (2024) https://doi.org/10.1080/02331934.2023.2181079
A duality‐based approach for linear parabolic optimal control problems
Hailing Wang, Di Wu, Changjun Yu and Kok Lay Teo Optimal Control Applications and Methods 45 (3) 1140 (2024) https://doi.org/10.1002/oca.3094
Adaptive Finite Element Method for an Elliptic Optimal Control Problem with Integral State Constraints
Pratibha Shakya and Kamana Porwal Communications on Applied Mathematics and Computation (2024) https://doi.org/10.1007/s42967-024-00397-8
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
Optimal borel measure-valued controls to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains
Gilbert Peralta ESAIM: Control, Optimisation and Calculus of Variations 29 32 (2023) https://doi.org/10.1051/cocv/2023025
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
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
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
The Boussinesq System with Nonsmooth Boundary Conditions: Existence, Relaxation, and Topology Optimization
Alexandre Vieira and Pierre-Henri Cocquet SIAM Journal on Control and Optimization 60 (6) 3457 (2022) https://doi.org/10.1137/21M1465159
A path-following inexact Newton method for PDE-constrained optimal control in BV
D. Hafemeyer and F. Mannel Computational Optimization and Applications 82 (3) 753 (2022) https://doi.org/10.1007/s10589-022-00370-2
Numerical Control: Part A
Eduardo Casas, Karl Kunisch and Fredi Tröltzsch Handbook of Numerical Analysis, Numerical Control: Part A 23 115 (2022) https://doi.org/10.1016/bs.hna.2021.12.004
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
Pointwise antennas design in hyperthermia therapy
Raquel Mattoso and Antonio A. Novotny Applied Mathematical Modelling 89 89 (2021) https://doi.org/10.1016/j.apm.2020.07.046
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements
Barbara Kaltenbacher and William Rundell Inverse Problems & Imaging 15 (5) 865 (2021) https://doi.org/10.3934/ipi.2021020
Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation
Sebastian Engel, Boris Vexler and Philip Trautmann IMA Journal of Numerical Analysis 41 (4) 2639 (2021) https://doi.org/10.1093/imanum/draa032
Optimal control of an eddy current problem with a dipole source
Gabriele Caselli Journal of Mathematical Analysis and Applications 489 (1) 124152 (2020) https://doi.org/10.1016/j.jmaa.2020.124152
Sparse reconstructions of acoustic source for inverse scattering problems in measure space
Xueshuang Xiang and Hongpeng Sun Inverse Problems 36 (3) 035004 (2020) https://doi.org/10.1088/1361-6420/ab28cb
Strong Local Optimality for Generalized L1 Optimal Control Problems
Francesca C. Chittaro and Laura Poggiolini Journal of Optimization Theory and Applications 180 (1) 207 (2019) https://doi.org/10.1007/s10957-018-1337-y
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
Using sparse control methods to identify sources in linear diffusion-convection equations
E Casas and K Kunisch Inverse Problems 35 (11) 114002 (2019) https://doi.org/10.1088/1361-6420/ab331c
Optimal Control of the Two-Dimensional Stationary Navier--Stokes Equations with Measure Valued Controls
Eduardo Casas and Karl Kunisch SIAM Journal on Control and Optimization 57 (2) 1328 (2019) https://doi.org/10.1137/18M1185582
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
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
Optimal Control of Nonlinear Elliptic Problems with Sparsity
Augusto C. Ponce and Nicolas Wilmet SIAM Journal on Control and Optimization 56 (4) 2513 (2018) https://doi.org/10.1137/17M1161555
Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space
Barbara Kaltenbacher and Mario Luiz Previatti de Souza Numerische Mathematik 140 (2) 449 (2018) https://doi.org/10.1007/s00211-018-0971-5
Analysis of Optimal Control Problems of Semilinear Elliptic Equations by BV-Functions
Eduardo Casas and Karl Kunisch Set-Valued and Variational Analysis (2018) https://doi.org/10.1007/s11228-018-0482-7
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
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
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 Semilinear Parabolic Equations by BV-Functions
Eduardo Casas, Florian Kruse and Karl Kunisch SIAM Journal on Control and Optimization 55 (3) 1752 (2017) https://doi.org/10.1137/16M1056511
A new one‐shot pointwise source reconstruction method
Thiago J. Machado, Jaqueline S. Angelo and Antonio A. Novotny Mathematical Methods in the Applied Sciences 40 (5) 1367 (2017) https://doi.org/10.1002/mma.4059
Mean-Field Pontryagin Maximum Principle
Mattia Bongini, Massimo Fornasier, Francesco Rossi and Francesco Solombrino Journal of Optimization Theory and Applications 175 (1) 1 (2017) https://doi.org/10.1007/s10957-017-1149-5
Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain
Anne-Celine Boulanger and Philip Trautmann SIAM Journal on Control and Optimization 55 (6) 3673 (2017) https://doi.org/10.1137/15M1020745
Nonconvex penalization of switching control of partial differential equations
Christian Clason, Armin Rund and Karl Kunisch Systems & Control Letters 106 1 (2017) https://doi.org/10.1016/j.sysconle.2017.05.006
Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization
Wenyi Tian and Xiaoming Yuan Inverse Problems 32 (11) 115011 (2016) https://doi.org/10.1088/0266-5611/32/11/115011
Functional error estimators for the adaptive discretization of inverse problems
Christian Clason, Barbara Kaltenbacher and Daniel Wachsmuth Inverse Problems 32 (10) 104004 (2016) https://doi.org/10.1088/0266-5611/32/10/104004
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
Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
Karl Kunisch, Philip Trautmann and Boris Vexler SIAM Journal on Control and Optimization 54 (3) 1212 (2016) https://doi.org/10.1137/141001366
Stability and Experimental Comparison of Prototypical Iterative Schemes for Total Variation Regularized Problems
Sören Bartels and Marijo Milicevic Computational Methods in Applied Mathematics 16 (3) 361 (2016) https://doi.org/10.1515/cmam-2016-0014
Parabolic control problems in space-time measure spaces
Eduardo Casas and Karl Kunisch ESAIM: Control, Optimisation and Calculus of Variations 22 (2) 355 (2016) https://doi.org/10.1051/cocv/2015008
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
Numerical identification of a sparse Robin coefficient
Zhiyuan Sun, Yuling Jiao, Bangti Jin and Xiliang Lu Advances in Computational Mathematics 41 (1) 131 (2015) https://doi.org/10.1007/s10444-014-9352-5
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
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
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
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
Multi-bang control of elliptic systems
Christian Clason and Karl Kunisch Annales de l'Institut Henri Poincaré C, Analyse non linéaire 31 (6) 1109 (2014) https://doi.org/10.1016/j.anihpc.2013.08.005
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
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
Optimal Control with $L^p(\Omega)$, $p\in [0,1)$, Control Cost
Kazufumi Ito and Karl Kunisch SIAM Journal on Control and Optimization 52 (2) 1251 (2014) https://doi.org/10.1137/120896529
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
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
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
Inverse problems in spaces of measures
Kristian Bredies and Hanna Katriina Pikkarainen ESAIM: Control, Optimisation and Calculus of Variations 19 (1) 190 (2013) https://doi.org/10.1051/cocv/2011205
Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control
Dmitriy Leykekhman and Boris Vexler SIAM Journal on Numerical Analysis 51 (5) 2797 (2013) https://doi.org/10.1137/120885772
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
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
A measure space approach to optimal source placement
Christian Clason and Karl Kunisch Computational Optimization and Applications 53 (1) 155 (2012) https://doi.org/10.1007/s10589-011-9444-9
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
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
A deterministic approach to the adapted optode placement for illumination of highly scattering tissue
Patricia Brunner, Christian Clason, Manuel Freiberger and Hermann Scharfetter Biomedical Optics Express 3 (7) 1732 (2012) https://doi.org/10.1364/BOE.3.001732
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
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
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
A Regularization Parameter for Nonsmooth Tikhonov Regularization
Kazufumi Ito, Bangti Jin and Tomoya Takeuchi SIAM Journal on Scientific Computing 33 (3) 1415 (2011) https://doi.org/10.1137/100790756
Convergence and regularization results for optimal control problems with sparsity functional
Gerd Wachsmuth and Daniel Wachsmuth ESAIM: Control, Optimisation and Calculus of Variations 17 (3) 858 (2011) https://doi.org/10.1051/cocv/2010027
Adaptation and focusing of optode configurations for fluorescence optical tomography by experimental design methods
Manuel Freiberger, Christian Clason and Hermann Scharfetter Journal of Biomedical Optics 15 (1) 016024 (2010) https://doi.org/10.1117/1.3316405