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Author ID: kunisch.karl Recent zbMATH articles by "Kunisch, Karl"
Published as: Kunisch, Karl; Kunisch, K.; Kunisch, Karl K.
Homepage: https://homepage.uni-graz.at/karl.kunisch/
External Links: MGP · Google Scholar · dblp · GND
all top 5

Co-Authors

17 single-authored
59 Ito, Kazufumi
21 Casas, Eduardo
18 Hintermüller, Michael
16 Clason, Christian
14 Kovtunenko, Viktor Anatolievich
13 Breiten, Tobias
11 Azmi, Behzad
11 Kappel, Franz
11 Rodrigues, Sérgio S.
10 Schappacher, Wilhelm
9 Kalise, Dante
9 Pfeiffer, Laurent
8 Borzì, Alfio
8 Chavent, Guy
8 Volkwein, Stefan
7 Bergounioux, Maïtine
7 Hinze, Michael
7 Peichl, Gunther H.
7 White, Luther W.
6 Banks, Harvey Thomas
6 Kasumba, Henry
6 Leugering, Günter
6 Plank, Gernot
6 Vexler, Boris
6 Walter, Daniel
5 Chamakuri, Nagaiah
5 Colonius, Fritz
5 Court, Sébastien
5 De los Reyes, Juan Carlos
5 Di Blasio, Gabriella
5 Haslinger, Jaroslav
5 Kozubek, Tomas
5 Nagaiah, Chamakuri
5 Sinestrari, Eugenio
5 Tröltzsch, Fredi
5 Wagner, Marcus M.
4 Chaabane, Slim
4 Desch, Wolfgang
4 Ferchichi, Jamel
4 Herzog, Roland
4 Kröner, Axel
4 Lu, Xiliang
4 Peralta, Gilbert R.
4 Rao, Zhiping
4 Ring, Wolfgang
4 Rund, Armin
4 Sprekels, Jürgen
4 Trautmann, Philip
4 Wachsmuth, Daniel
4 Wang, Lijuan
3 Barbu, Viorel
3 Bredies, Kristian
3 Ghilli, Daria
3 Guth, Philipp A.
3 Holler, Gernot
3 Kroller, M.
3 Murphy, Katherine A.
3 Pock, Thomas
3 Priyasad, Buddhika
3 Scherzer, Otmar
3 Vásquez-Varas, Donato
3 Xie, Lei
2 Barnard, Richard C.
2 Capasso, Vincenzo
2 Engl, Heinz W.
2 Jin, Bangti
2 Kärkkäinen, Tommi
2 Kruse, Florian
2 Kundu, Sudeep
2 Kunoth, Angela
2 Liu, Steve Wenbin
2 Marduel, Xavier
2 Pieper, Konstantin
2 Pola, Cecilia
2 Rocca, Elisabetta
2 Sass, Jörn
2 Spasov, Yulian
2 Steinbach, Olaf
2 Yan, Ningning
1 Amouroux, Marcel
1 Araya, Rodrigo
1 Aubrun, J.-N.
1 Babary, Jean-Pierre
1 Bahar, Leon Y.
1 Baillieul, John B.
1 Balas, Mark J.
1 Bar-Kana, Izhak
1 Bayard, David S.
1 Bentsman, Joseph
1 Bertoni, Gianni
1 Bonifacius, Lucas
1 Bontsema, Jan
1 Boulanger, Anne-Céline
1 Boussalis, Dhemetrios
1 Brisbane, T. E.
1 Burkard, Rainer E.
1 Burke, Shawn E.
1 Burns, John A.
1 Capitani, Gloria
1 Chang, Yanzhen
...and 172 more Co-Authors
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Serials

51 SIAM Journal on Control and Optimization
21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Applied Mathematics and Optimization
12 Computational Optimization and Applications
11 Inverse Problems
11 SIAM Journal on Optimization
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Discrete and Continuous Dynamical Systems
9 Journal of Optimization Theory and Applications
8 Journal of Mathematical Analysis and Applications
8 ISNM. International Series of Numerical Mathematics
7 SIAM Journal on Numerical Analysis
6 SIAM Journal on Scientific Computing
6 Oberwolfach Reports
5 Systems & Control Letters
5 Mathematical Control and Related Fields
4 IMA Journal of Numerical Analysis
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Applied Numerical Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 SIAM Journal on Imaging Sciences
3 Applicable Analysis
3 Computers & Mathematics with Applications
3 IMA Journal of Applied Mathematics
3 Journal of Mathematical Biology
3 Computing
3 Control and Cybernetics
3 Journal of Differential Equations
3 Numerische Mathematik
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Mathematical Programming. Series A. Series B
3 Advances in Mathematical Sciences and Applications
3 Journal of Mathematical Imaging and Vision
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3 Interfaces and Free Boundaries
3 Lecture Notes in Control and Information Sciences
3 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal for Numerical Methods in Fluids
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Computation
2 Calcolo
2 IEEE Transactions on Automatic Control
2 Numerical Functional Analysis and Optimization
2 Quarterly of Applied Mathematics
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 SIAM Journal on Applied Mathematics
2 Journal of Mathematical Systems, Estimation, and Control
2 Computational and Applied Mathematics
2 Computing and Visualization in Science
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Biosciences
1 Nonlinearity
1 Archiv der Mathematik
1 Automatica
1 Journal für die Reine und Angewandte Mathematik
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 SIAM Journal on Scientific and Statistical Computing
1 Zeitschrift für Analysis und ihre Anwendungen
1 Journal of Computational Mathematics
1 Optimization
1 Annals of Differential Equations
1 Internationale Mathematische Nachrichten
1 Numerical Methods for Partial Differential Equations
1 Mathematica Balkanica. New Series
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 Differential and Integral Equations
1 Applications of Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Journal of Non-Newtonian Fluid Mechanics
1 Linear Algebra and its Applications
1 Matemática Aplicada e Computacional
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Physics of Fluids
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Differential Equations
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Mathematical Methods of Operations Research
1 European Journal of Mechanics. B. Fluids
1 Flow, Turbulence and Combustion
1 Nonlinear Analysis. Real World Applications
1 Journal of Machine Learning Research (JMLR)
1 GAMM-Mitteilungen
1 Bollettino della Unione Matematica Italiana. Series V. B
1 IFAC Proceedings Series
1 Systems & Control: Foundations & Applications
1 Advances in Design and Control
1 Radon Series on Computational and Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Set-Valued and Variational Analysis
...and 1 more Serials

Publications by Year

Citations contained in zbMATH Open

340 Publications have been cited 7,131 times in 4,181 Documents Cited by Year
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
431
2003
Total generalized variation. Zbl 1195.49025
Bredies, Kristian; Kunisch, Karl; Pock, Thomas
352
2010
Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002
Ito, Kazufumi; Kunisch, Karl
278
2008
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
254
2002
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
244
2001
Estimation techniques for distributed parameter systems. Zbl 0695.93020
Banks, H. T.; Kunisch, K.
224
1989
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
219
1989
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039
Kunisch, K.; Volkwein, S.
144
1999
Primal-dual strategy for constrained optimal control problems. Zbl 0937.49017
Bergounioux, Maïtine; Ito, Kazufumi; Kunisch, Karl
138
1999
A reaction-diffusion system arising in modelling man-environment diseases. Zbl 0704.35069
Capasso, V.; Kunisch, K.
85
1988
Second order methods for optimal control of time-dependent fluid flow. Zbl 1012.49026
Hinze, Michael; Kunisch, Karl
82
2001
\(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives. Zbl 0538.45007
Di Blasio, Gabriella; Kunisch, Karl; Sinestrari, Eugenio
77
1984
Primal-dual strategy for state-constrained optimal control problems. Zbl 1015.49026
Bergounioux, Maïtine; Kunisch, Karl
73
2002
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
72
2001
A bilevel optimization approach for parameter learning in variational models. Zbl 1280.49053
Kunisch, Karl; Pock, Thomas
71
2013
Total bounded variation regularization as a bilaterally constrained optimization problem. Zbl 1055.94504
Hintermüller, M.; Kunisch, K.
67
2004
Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311
Ito, Kazufumi; Kunisch, Karl
66
2003
Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0799.65060
Scherzer, O.; Engl, H. W.; Kunisch, K.
65
1993
A comparison of a Moreau-Yosida-based active set strategy and interior point methods for constrained optimal control problems. Zbl 1001.49034
Bergounioux, M.; Haddou, M.; Hintermüller, M.; Kunisch, K.
59
2000
The linear regulator problem for parabolic systems. Zbl 0548.49017
Banks, H. T.; Kunisch, K.
59
1984
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
58
2003
Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028
Hintermüller, Michael; Kunisch, Karl
58
2006
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
57
2011
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
56
2008
Parabolic control problems in measure spaces with sparse solutions. Zbl 1266.49037
Casas, Eduardo; Clason, Christian; Kunisch, Karl
55
2013
Approximation of elliptic control problems in measure spaces with sparse solutions. Zbl 1343.49048
Casas, Eduardo; Clason, Christian; Kunisch, Karl
55
2012
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. Zbl 0971.49014
Ito, Kazufumi; Kunisch, Karl
54
2000
Optimal control of elliptic variational inequalities. Zbl 0960.49003
Ito, K.; Kunisch, K.
53
2000
Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030
Hintermüller, M.; Kunisch, K.
52
2006
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
50
2004
Algorithms for PDE-constrained optimization. Zbl 1207.49034
Herzog, Roland; Kunisch, Karl
50
2010
Primal-dual active set strategy for a general class of constrained optimal control problems. Zbl 1028.49027
Kunisch, K.; Rösch, A.
49
2002
The augmented Lagrangian method for parameter estimation in elliptic systems. Zbl 0709.93021
Ito, Kazufumi; Kunisch, Karl
47
1990
The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces. Zbl 0706.90096
Ito, K.; Kunisch, K.
45
1990
Measure valued directional sparsity for parabolic optimal control problems. Zbl 1326.49035
Kunisch, Karl; Pieper, Konstantin; Vexler, Boris
45
2014
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
44
2008
Augmented Lagrangian techniques for elliptic state constrained optimal control problems. Zbl 0897.49001
Bergounioux, Maitine; Kunisch, Karl
43
1997
Augmented Lagrangian active set methods for obstacle problems. Zbl 1045.49026
Kärkkäinen, T.; Kunisch, K.; Tarvainen, P.
42
2003
Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type. Zbl 1077.49030
Haslinger, J.; Kozubek, T.; Kunisch, K.; Peichl, G.
41
2003
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
41
1997
Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups. Zbl 0533.35082
Kunisch, K.; Schappacher, W.
39
1983
Instantaneous control of backward-facing step flows. Zbl 0939.76027
Choi, Haecheon; Hinze, Michael; Kunisch, Karl
38
1999
Constrained Dirichlet boundary control in \(L^2\) for a class of evolution equations. Zbl 1144.49003
Kunisch, K.; Vexler, B.
37
2007
Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs. Zbl 1385.49022
Kalise, Dante; Kunisch, Karl
36
2018
Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
35
2006
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
35
2013
Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
34
2011
A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations. Zbl 1080.49024
De Los Reyes, J. C.; Kunisch, K.
33
2005
Stability for abstract linear functional differential equations. Zbl 0594.45014
Di Blasio, G.; Kunisch, K.; Sinestrari, E.
32
1985
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
32
2010
Accuracy and convergence properties of the finite difference multigrid solution of an optimal control optimality system. Zbl 1031.49029
Borzì, Alfio; Kunisch, Karl; Kwak, Do Y.
32
2003
Semismooth Newton methods for optimal control of the wave equation with control constraints. Zbl 1218.49035
Kröner, Axel; Kunisch, Karl; Vexler, Boris
32
2011
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. Zbl 1077.90051
Ito, Kazufumi; Kunisch, Karl
30
2004
Optimal bilinear control of an abstract Schrödinger equation. Zbl 1136.35089
Ito, Kazufumi; Kunisch, Karl
30
2007
Iterative choices of regularization parameters in linear inverse problems. Zbl 0917.65053
Kunisch, Karl; Zou, Jun
29
1998
Regularization by functions of bounded variation and applications to image enhancement. Zbl 0942.49014
Casas, E.; Kunisch, K.; Pola, C.
29
1999
Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints. Zbl 1251.35174
Kunisch, Karl; Wang, Lijuan
29
2012
PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037
Hintermüller, Michael; Kunisch, Karl
28
2009
Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064
Ito, Kazufumi; Kunisch, Karl
28
2008
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space. Zbl 1330.74132
Kunisch, Karl; Stadler, Georg
28
2005
Stability for parameter estimation in two point boundary value problems. Zbl 0584.34009
Colonius, F.; Kunisch, K.
28
1986
A duality-based splitting method for \(\ell^1-TV\) image restoration with automatic regularization parameter choice. Zbl 1216.94009
Clason, Christian; Jin, Bangti; Kunisch, Karl
28
2010
On infimal convolution of TV-type functionals and applications to video and image reconstruction. Zbl 1308.94019
Holler, Martin; Kunisch, Karl
28
2014
Optimal control of semilinear elliptic equations in measure spaces. Zbl 1306.90172
Casas, Eduardo; Kunisch, Karl
28
2014
On the structure of Lagrange multipliers for state-constrained optimal control problems. Zbl 1134.49310
Bergounioux, Maïtine; Kunisch, Karl
28
2003
Optimal control of elliptic variational-hemivariational inequalities. Zbl 06931878
Peng, Zijia; Kunisch, Karl
27
2018
A multigrid scheme for elliptic constrained optimal control problems. Zbl 1081.49022
Borzì, A.; Kunisch, K.
27
2005
Optimal control formulation for determining optical flow. Zbl 1041.68103
Borzì, Alfio; Ito, Kazufumi; Kunisch, Karl
27
2002
Parabolic control problems in space-time measure spaces. Zbl 1343.49036
Casas, Eduardo; Kunisch, Karl
26
2016
Second order methods for boundary control of the instationary Navier-Stokes system. Zbl 1042.35047
Hinze, Michael; Kunisch, Karl
26
2004
Sufficient optimality conditions and semi-smooth Newton methods for optimal control of stationary variational inequalities. Zbl 1246.49021
Kunisch, Karl; Wachsmuth, Daniel
26
2012
Optimal control of the undamped linear wave equation with measure valued controls. Zbl 1343.35239
Kunisch, Karl; Trautmann, Philip; Vexler, Boris
25
2016
Optimal control of parabolic variational inequalities. Zbl 1247.35062
Ito, Kazufumi; Kunisch, Karl
25
2010
Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology. Zbl 1226.49024
Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot
25
2011
Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1471.65184
Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K.
25
2021
Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case. Zbl 1253.49024
Bredies, Kristian; Kunisch, Karl; Valkonen, Tuomo
25
2013
Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020
Ito, Kazufumi; Kunisch, Karl
24
2002
Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
24
2014
An augmented Lagrangian technique for variational inequalities. Zbl 0692.49008
Ito, K.; Kunisch, K.
23
1990
Riccati-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model. Zbl 1316.93047
Breiten, Tobias; Kunisch, Karl
23
2015
A measure space approach to optimal source placement. Zbl 1258.49041
Clason, Christian; Kunisch, Karl
23
2012
Multi-bang control of elliptic systems. Zbl 1304.49014
Clason, Christian; Kunisch, Karl
22
2014
An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050
Ito, Kazufumi; Kunisch, Karl
21
1999
Nonlinear age-dependent population dynamics with random diffusion. Zbl 0581.92021
Kunisch, K.; Schappacher, W.; Webb, G. F.
21
1985
Problem of crack perturbation based on level sets and velocities. Zbl 1353.74064
Kovtunenko, V. A.; Kunisch, K.
21
2007
Spline approximations for neutral functional differential equations. Zbl 0511.65053
Kappel, F.; Kunisch, K.
21
1981
Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004
Ito, Kazufumi; Kunisch, Karl
21
2006
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation. Zbl 0790.49028
Ito, K.; Kunisch, K.
21
1992
A bilevel approach for parameter learning in inverse problems. Zbl 1400.49046
Holler, Gernot; Kunisch, Karl; Barnard, Richard C.
20
2018
Cubic spline approximation techniques for parameter estimation in distributed systems. Zbl 0529.93021
Banks, H. T.; Crowley, James M.; Kunisch, Karl
20
1983
POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation. Zbl 1080.93012
Kunisch, K.; Xie, L.
20
2005
A convex analysis approach to multi-material topology optimization. Zbl 1354.49092
Clason, Christian; Kunisch, Karl
20
2016
Total variation regularization of multi-material topology optimization. Zbl 1397.49056
Clason, Christian; Kruse, Florian; Kunisch, Karl
20
2018
Augmented Lagrangian-SQP-methods in Hilbert spaces and application to control in the coefficients problems. Zbl 0846.65026
Ito, Kazufumi; Kunisch, Karl
19
1996
The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
19
2004
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
19
2009
Optimal control approach to termination of re-entry waves in cardiac electrophysiology. Zbl 1319.92021
Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot
19
2013
Differentiability properties of the \(L^1\)-tracking functional and application to the Robin inverse problem. Zbl 1061.35163
Chaabane, S.; Ferchichi, J.; Kunisch, K.
18
2004
Optimal control of non-isothermal viscoelastic fluid flow. Zbl 0964.76007
Kunisch, K.; Marduel, X.
18
2000
Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type. Zbl 0860.49023
Ito, Kazufumi; Kunisch, Karl
18
1996
Policy iteration for Hamilton-Jacobi-Bellman equations with control constraints. Zbl 07838091
Kundu, Sudeep; Kunisch, Karl
1
2024
Infinite horizon optimal control problems with discount factor on the state. I: Analysis of the controlled state equation. Zbl 1522.35065
Casas, Eduardo; Kunisch, Karl
2
2023
Infinite horizon optimal control problems with discount factor on the state, part II: analysis of the control problem. Zbl 1518.35447
Casas, Eduardo; Kunisch, Karl
1
2023
Error estimates for the numerical approximation of optimal control problems with nonsmooth pointwise-integral control constraints. Zbl 07726040
Casas, Eduardo; Kunisch, Karl; Mateos, Mariano
1
2023
Saturated feedback stabilizability to trajectories for the Schlögl parabolic equation. Zbl 07810955
Azmi, Behzad; Kunisch, Karl; Rodrigues, Sérgio S.
1
2023
Learning nonlocal regularization operators. Zbl 1485.49010
Holler, Gernot; Kunisch, Karl
9
2022
Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space. Zbl 1485.35270
Casas, Eduardo; Kunisch, Karl
8
2022
Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem. Zbl 1495.35220
Kovtunenko, Victor A.; Kunisch, Karl
6
2022
Design of the monodomain model by artificial neural networks. Zbl 07621930
Court, Sébastien; Kunisch, Karl
4
2022
Infinite horizon optimal control problems for a class of semilinear parabolic equations. Zbl 1495.35103
Casas, Eduardo; Kunisch, Karl
4
2022
Optimal control of PDEs and FE-approximation. Zbl 1495.49004
Casas, Eduardo; Kunisch, Karl; Tröltzsch, Fredi
3
2022
Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. Zbl 1487.49007
Peralta, Gilbert; Kunisch, Karl
2
2022
On the convergence and mesh-independent property of the Barzilai-Borwein method for PDE-constrained optimization. Zbl 1506.65073
Azmi, Behzad; Kunisch, Karl
1
2022
Tensor decomposition methods for high-dimensional Hamilton-Jacobi-Bellman equations. Zbl 1471.65184
Dolgov, Sergey; Kalise, Dante; Kunisch, Karl K.
25
2021
Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation. Zbl 1511.49021
Kunisch, Karl; Walter, Daniel
12
2021
Optimal feedback law recovery by gradient-augmented sparse polynomial regression. Zbl 07370565
Azmi, Behzad; Kalise, Dante; Kunisch, Karl
11
2021
Optimal control of the two-dimensional evolutionary Navier-Stokes equations with measure valued controls. Zbl 1477.35119
Casas, Eduardo; Kunisch, Karl
8
2021
Learning an optimal feedback operator semiglobally stabilizing semilinear parabolic equations. Zbl 1476.49048
Kunisch, Karl; Rodrigues, Sérgio S.; Walter, Daniel
6
2021
Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains. Zbl 1475.35226
Casas, Eduardo; Kunisch, Karl
3
2021
Optimal control of the principal coefficient in a scalar wave equation. Zbl 1475.49003
Clason, Christian; Kunisch, Karl; Trautmann, Philip
3
2021
Neural network based nonlinear observers. Zbl 1478.93220
Breiten, Tobias; Kunisch, Karl
1
2021
Variational networks: an optimal control approach to early stopping variational methods for image restoration. Zbl 1434.68626
Effland, Alexander; Kobler, Erich; Kunisch, Karl; Pock, Thomas
15
2020
Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations. Zbl 1443.49041
Kalise, Dante; Kundu, Sudeep; Kunisch, Karl
12
2020
Analysis of the Barzilai-Borwein step-sizes for problems in Hilbert spaces. Zbl 1461.49042
Azmi, Behzad; Kunisch, Karl
8
2020
The effect of the terminal penalty in receding horizon control for a class of stabilization problems. Zbl 1448.49007
Kunisch, Karl; Pfeiffer, Laurent
7
2020
Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252
Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A.
6
2020
Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. Zbl 1454.49004
Kalise, Dante; Kunisch, Karl; Rao, Zhiping
6
2020
Optimal control of the linear wave equation by time-depending BV-controls: a semi-smooth Newton approach. Zbl 1455.49002
Engel, Sebastian; Kunisch, Karl
2
2020
Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations. Zbl 1434.35086
Breiten, Tobias; Kunisch, Karl
2
2020
Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints. Zbl 1442.35263
Kunisch, Karl; Meinlschmidt, Hannes
2
2020
Time-optimality by distance-optimality for parabolic control systems. Zbl 1443.49015
Bonifacius, Lucas; Kunisch, Karl
1
2020
Analysis and finite element discretization for optimal control of a linear fluid-structure interaction problem with delay. Zbl 1464.76059
Peralta, Gilbert; Kunisch, Karl
1
2020
Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators. Zbl 1436.93106
Kunisch, Karl; Rodrigues, Sérgio S.
15
2019
Optimal control of the two-dimensional stationary Navier-Stokes equations with measure valued controls. Zbl 1433.49037
Casas, Eduardo; Kunisch, Karl
10
2019
Taylor expansions of the value function associated with a bilinear optimal control problem. Zbl 1420.49005
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
10
2019
A hybrid finite-dimensional RHC for stabilization of time-varying parabolic equations. Zbl 1427.49024
Azmi, Behzad; Kunisch, Karl
8
2019
Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation. Zbl 1425.35135
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
8
2019
Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ODE systems. Zbl 1422.93155
Kunisch, Karl; Rodrigues, Sérgio S.
6
2019
On monotone and primal-dual active set schemes for \(\ell^p\)-type problems, \(p \in (0,1]\). Zbl 1417.90120
Ghilli, Daria; Kunisch, Karl
5
2019
Using sparse control methods to identify sources in linear diffusion-convection equations. Zbl 1447.35376
Casas, Eduardo; Kunisch, Karl
5
2019
Analysis of optimal control problems of semilinear elliptic equations by BV-functions. Zbl 1421.35124
Casas, Eduardo; Kunisch, Karl
4
2019
Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay. Zbl 1425.74163
Peralta, Gilbert; Kunisch, Karl
4
2019
Inverse localization of earliest cardiac activation sites from activation maps based on the viscous eikonal equation. Zbl 1429.49045
Kunisch, Karl; Neic, Aurel; Plank, Gernot; Trautmann, Philip
3
2019
On a monotone scheme for nonconvex nonsmooth optimization with applications to fracture mechanics. Zbl 1425.49016
Ghilli, Daria; Kunisch, Karl
2
2019
Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs. Zbl 1385.49022
Kalise, Dante; Kunisch, Karl
36
2018
Optimal control of elliptic variational-hemivariational inequalities. Zbl 06931878
Peng, Zijia; Kunisch, Karl
27
2018
A bilevel approach for parameter learning in inverse problems. Zbl 1400.49046
Holler, Gernot; Kunisch, Karl; Barnard, Richard C.
20
2018
Total variation regularization of multi-material topology optimization. Zbl 1397.49056
Clason, Christian; Kruse, Florian; Kunisch, Karl
20
2018
Control strategies for the Fokker-Planck equation. Zbl 1403.35298
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
14
2018
Infinite-horizon bilinear optimal control problems: sensitivity analysis and polynomial feedback laws. Zbl 1401.49004
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
13
2018
Receding horizon control for the stabilization of the wave equation. Zbl 1380.49053
Azmi, Behzad; Kunisch, Karl
8
2018
Optimal actuator design based on shape calculus. Zbl 1411.49030
Kalise, Dante; Kunisch, Karl; Sturm, Kevin
7
2018
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
2018
On the one-dimensional nonlinear monodomain equations with moving controls. Zbl 1447.35190
Kunisch, Karl; Souza, Diego A.
5
2018
Hybrid optimal control problems for a class of semilinear parabolic equations. Zbl 1407.49027
Court, Sébastien; Kunisch, Karl; Pfeiffer, Laurent
5
2018
Frequency-sparse optimal quantum control. Zbl 1407.49006
Friesecke, Gero; Henneke, Felix; Kunisch, Karl
4
2018
Interface stabilization of a parabolic-hyperbolic PDE system with delay in the interaction. Zbl 1397.35032
Peralta, Gilbert; Kunisch, Karl
2
2018
On the semi-global stabilizability of the Korteweg-de Vries equation via model predictive control. Zbl 1396.93102
Azmi, Behzad; Boulanger, Anne-Céline; Kunisch, Karl
2
2018
Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem. Zbl 1404.65272
Kovtunenko, Victor A.; Kunisch, Karl
1
2018
Sensitivity analysis of the value function for infinite dimensional optimal control problems and its relation to Riccati equations. Zbl 1415.49019
Guglielmi, Roberto; Kunisch, Karl
1
2018
Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies. Zbl 1386.74024
Court, Sébastien; Kunisch, Karl
1
2018
Optimal control for a class of infinite dimensional systems involving an \(L^{\infty}\)-term in the cost functional. Zbl 07776846
Court, Sébastien; Kunisch, Karl; Pfeiffer, Laurent
1
2018
Nonconvex penalization of switching control of partial differential equations. Zbl 1376.49035
Clason, Christian; Rund, Armin; Kunisch, Karl
18
2017
Stabilization by sparse controls for a class of semilinear parabolic equations. Zbl 1372.35152
Casas, Eduardo; Kunisch, Karl
15
2017
Feedback stabilization to nonstationary solutions of a class of reaction diffusion equations of Fitzhugh-Nagumo type. Zbl 1370.35176
Breiten, Tobias; Kunisch, Karl; Rodrigues, Sérgio S.
15
2017
Optimal control of semilinear parabolic equations by BV-functions. Zbl 1365.35077
Casas, Eduardo; Kruse, Florian; Kunisch, Karl
13
2017
Infinite horizon sparse optimal control. Zbl 1372.49002
Kalise, Dante; Kunisch, Karl; Rao, Zhiping
10
2017
Compensator design for the monodomain equations with the FitzHugh-Nagumo model. Zbl 1371.35153
Breiten, Tobias; Kunisch, Karl
8
2017
Primal-dual active set strategy for large scale optimization of cardiac defibrillation. Zbl 1410.49030
Chamakuri, Nagaiah; Kunisch, Karl
3
2017
Minimal time problem with impulsive controls. Zbl 1361.49002
Kunisch, Karl; Rao, Zhiping
3
2017
Boundary feedback stabilization of the monodomain equations. Zbl 1366.35081
Breiten, Tobias; Kunisch, Karl
1
2017
Parabolic control problems in space-time measure spaces. Zbl 1343.49036
Casas, Eduardo; Kunisch, Karl
26
2016
Optimal control of the undamped linear wave equation with measure valued controls. Zbl 1343.35239
Kunisch, Karl; Trautmann, Philip; Vexler, Boris
25
2016
A convex analysis approach to multi-material topology optimization. Zbl 1354.49092
Clason, Christian; Kunisch, Karl
20
2016
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
17
2016
A convex penalty for switching control of partial differential equations. Zbl 1335.49042
Clason, Christian; Rund, Armin; Kunisch, Karl; Barnard, Richard C.
17
2016
On the stabilizability of the Burgers equation by receding horizon control. Zbl 1352.49003
Azmi, Behzad; Kunisch, Karl
13
2016
Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach. Zbl 1341.35174
Kunisch, Karl; Pieper, Konstantin; Rund, Armin
10
2016
Local minimization algorithms for dynamic programming equations. Zbl 1339.65084
Kalise, Dante; Kröner, Axel; Kunisch, Karl
9
2016
Bang-bang property of time optimal controls of semilinear parabolic equation. Zbl 1317.35102
Kunisch, Karl; Wang, Lijuan
9
2016
Robust \(\ell_1\) approaches to computing the geometric median and principal and independent components. Zbl 1381.94021
Keeling, Stephen L.; Kunisch, Karl
2
2016
A sequential method for a class of stable mathematical programming problems. Zbl 1382.65178
Ito, Kazufumi; Kunisch, Karl
1
2016
Riccati-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model. Zbl 1316.93047
Breiten, Tobias; Kunisch, Karl
23
2015
Time optimal control of the monodomain model in cardiac electrophysiology. Zbl 1338.35436
Kunisch, Karl; Rund, Armin
6
2015
Optimal feedback control for undamped wave equations by solving a HJB equation. Zbl 1318.49069
Kröner, Axel; Kunisch, Karl; Zidani, Hasnaa
6
2015
Uniform convergence of the POD method and applications to optimal control. Zbl 1337.65053
Kunisch, Karl; Müller, Markus
2
2015
Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics. Zbl 1320.92038
Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot
1
2015
A Gautschi time-stepping approach to optimal control of the wave equation. Zbl 1326.65117
Kunisch, Karl; Reiterer, Stefan H.
1
2015
Measure valued directional sparsity for parabolic optimal control problems. Zbl 1326.49035
Kunisch, Karl; Pieper, Konstantin; Vexler, Boris
45
2014
On infimal convolution of TV-type functionals and applications to video and image reconstruction. Zbl 1308.94019
Holler, Martin; Kunisch, Karl
28
2014
Optimal control of semilinear elliptic equations in measure spaces. Zbl 1306.90172
Casas, Eduardo; Kunisch, Karl
28
2014
Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
24
2014
Multi-bang control of elliptic systems. Zbl 1304.49014
Clason, Christian; Kunisch, Karl
22
2014
High precision identification of an object: optimality-conditions-based concept of imaging. Zbl 1293.35366
Kovtunenko, Victor A.; Kunisch, Karl
17
2014
A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070
Ito, Kazufumi; Kunisch, Karl
15
2014
The bang-bang property of time optimal controls for the Burgers equation. Zbl 1304.49015
Kunisch, Karl; Wang, Lijuan
8
2014
On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable. Zbl 1301.49117
Kasumba, H.; Kunisch, K.
7
2014
A note on the existence of nonsmooth nonconvex optimization problems. Zbl 1307.49007
Ito, Kazufumi; Kunisch, Karl
6
2014
Lossy compression in optimal control of cardiac defibrillation. Zbl 1304.92069
Götschel, S.; Chamakuri, N.; Kunisch, K.; Weiser, M.
4
2014
A minimum effort optimal control problem for the wave equation. Zbl 1283.49031
Kröner, Axel; Kunisch, Karl
4
2014
...and 240 more Documents
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Cited by 5,009 Authors

172 Kunisch, Karl
55 Hintermüller, Michael
55 Luo, Zhendong
40 Casas, Eduardo
40 Tröltzsch, Fredi
35 Banks, Harvey Thomas
35 Hinze, Michael
35 Rozza, Gianluigi
33 Ito, Kazufumi
33 Kovtunenko, Viktor Anatolievich
32 Volkwein, Stefan
31 Benner, Peter
30 Herzog, Roland
29 Borzì, Alfio
29 Clason, Christian
28 Kaltenbacher, Barbara
28 Vexler, Boris
27 Wachsmuth, Daniel
26 De los Reyes, Juan Carlos
25 Scherzer, Otmar
24 Rösch, Arnd
23 Bredies, Kristian
23 Hofmann, Bernd
23 Iliescu, Traian
22 Brenner, Susanne Cecelia
22 Yousept, Irwin
21 Khan, Akhtar Ali
21 Schönlieb, Carola-Bibiane
21 Stoll, Martin
20 Burger, Martin
20 Dehghan Takht Fooladi, Mehdi
20 Jeong, Jin-Mun
20 Sung, Li-Yeng
19 Huang, Ting-Zhu
19 Tai, Xuecheng
18 Breiten, Tobias
18 Maksimov, Vyacheslav Ivanovich
18 Valkonen, Tuomo
18 Vlasov, Viktor Valentinovich
18 Wohlmuth, Barbara I.
17 Neitzel, Ira
17 Wachsmuth, Gerd
16 Cheng, Xiaoliang
16 Han, Bo
16 Jin, Bangti
16 Laghrib, Amine
16 Mehlitz, Patrick
16 Rautenberg, Carlos N.
16 Rodrigues, Sérgio S.
16 Singler, John R.
16 Steidl, Gabriele
15 Gudi, Thirupathi
15 Kalise, Dante
15 Mateos, Mariano
15 Navon, Ionel Michael
15 Sama, Miguel
15 Surowiec, Thomas
15 Wick, Thomas
14 Alla, Alessandro
14 George, Santhosh
14 Gong, Wei
14 Jin, Qinian
14 Meyer, Christian
14 Rosen, I. Gary
14 Ulbrich, Michael
13 Antil, Harbir
13 Karasözen, Bülent
13 Laurain, Antoine
13 Manzoni, Andrea
13 Teng, Fei
13 Wang, Zhu
13 White, Luther W.
13 Wollner, Winnifried
13 Zou, Jun
13 Zuazua, Enrique
12 Bartels, Sören
12 Gwinner, Joachim
12 Harbrecht, Helmut
12 Holler, Martin
12 Jiang, Daijun
12 Lazarev, Nyurgun Petrovich
12 Liu, Jun
12 Otárola, Enrique
12 Pock, Thomas
12 Rautian, Nadegda Aleksandrovna
12 Stabile, Giovanni
12 Trélat, Emmanuel
12 Ulbrich, Stefan
12 Wang, Lijuan
12 Yang, Haijian
11 Afraites, Lekbir
11 Chamakuri, Nagaiah
11 Chen, Ke
11 Gunzburger, Max D.
11 Hadri, Aissam
11 Kanzow, Christian
11 Khludnev, Aleksandr Mikhaĭlovich
11 Lu, Xiliang
11 Migórski, Stanisław
11 Nachaoui, Mourad
...and 4,909 more Authors
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Cited in 425 Serials

131 Computers & Mathematics with Applications
123 SIAM Journal on Control and Optimization
117 Computational Optimization and Applications
116 Computer Methods in Applied Mechanics and Engineering
116 Journal of Computational and Applied Mathematics
107 Applied Mathematics and Computation
104 Inverse Problems
97 Journal of Computational Physics
96 Journal of Mathematical Analysis and Applications
94 Journal of Optimization Theory and Applications
88 Journal of Scientific Computing
87 SIAM Journal on Scientific Computing
84 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
78 Numerical Functional Analysis and Optimization
75 SIAM Journal on Imaging Sciences
66 Applied Mathematics and Optimization
59 Journal of Inverse and Ill-Posed Problems
58 Numerische Mathematik
56 Journal of Mathematical Imaging and Vision
51 Applied Numerical Mathematics
47 Inverse Problems and Imaging
45 SIAM Journal on Numerical Analysis
42 International Journal for Numerical Methods in Engineering
40 Optimization Methods & Software
37 Applicable Analysis
37 Optimization
37 Advances in Computational Mathematics
35 SIAM Journal on Optimization
34 International Journal of Computer Mathematics
33 Systems & Control Letters
33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
33 Mathematical Control and Related Fields
32 Automatica
32 Inverse Problems in Science and Engineering
30 Journal of Differential Equations
28 Numerical Methods for Partial Differential Equations
28 Applied Mathematical Modelling
28 Mathematical Programming. Series A. Series B
26 Mathematics and Computers in Simulation
26 Mathematical Problems in Engineering
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Communications in Nonlinear Science and Numerical Simulation
23 Nonlinear Analysis. Real World Applications
22 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
21 Computers and Fluids
21 Mathematical and Computer Modelling
20 International Journal of Control
20 Mathematical Methods in the Applied Sciences
20 Numerical Algorithms
19 Optimal Control Applications & Methods
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Computational and Applied Mathematics
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15 Computing
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14 Nonlinear Analysis. Theory, Methods & Applications
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10 Abstract and Applied Analysis
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10 Discrete and Continuous Dynamical Systems. Series S
10 East Asian Journal on Applied Mathematics
9 International Journal for Numerical Methods in Fluids
9 Bulletin of Mathematical Biology
9 Acta Applicandae Mathematicae
9 Applications of Mathematics
9 Mathematical and Computer Modelling of Dynamical Systems
9 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
9 Journal of Numerical Mathematics
9 Acta Numerica
9 Advances in Difference Equations
9 SIAM/ASA Journal on Uncertainty Quantification
8 BIT
8 Calcolo
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 SIAM Journal on Matrix Analysis and Applications
8 Multidimensional Systems and Signal Processing
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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