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Kunisch, Karl

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Author ID: kunisch.karl Recent zbMATH articles by "Kunisch, Karl"
Published as: Kunisch, K.; Kunisch, Karl
Homepage: https://homepage.uni-graz.at/karl.kunisch/
External Links: MGP · dblp · GND
Documents Indexed: 351 Publications since 1977, including 17 Books
all top 5

Co-Authors

17 single-authored
59 Ito, Kazufumi
17 Hintermüller, Michael
15 Clason, Christian
12 Kovtunenko, Viktor Anatolievich
11 Casas, Eduardo
11 Kappel, Franz
10 Breiten, Tobias
10 Peichl, Günter
10 Schappacher, Wilhelm
8 Borzì, Alfio
8 Chavent, Guy
8 Pfeiffer, Laurent
8 Volkwein, Stefan
7 Bergounioux, Maïtine
7 Hinze, Michael
7 Kalise, Dante
7 Peichl, Gunther H.
7 White, Luther W.
6 Kasumba, Henry
6 Plank, Gernot
6 Vexler, Boris
5 Azmi, Behzad
5 Banks, Harvey Thomas
5 Chamakuri, Nagaiah
5 Colonius, Fritz
5 De los Reyes, Juan Carlos
5 Di Blasio, Gabriella
5 Haslinger, Jaroslav
5 Kozubek, Tomas
5 Leugering, Günter
5 Nagaiah, Chamakuri
5 Sinestrari, Eugenio
4 Chaabane, Slim
4 Desch, Wolfgang
4 Ferchichi, Jamel
4 Herzog, Roland
4 Kröner, Axel
4 Lu, Xiliang
4 Rao, Zhiping
4 Ring, Wolfgang
4 Rund, Armin
4 Sprekels, Jürgen
4 Tröltzsch, Fredi
4 Wachsmuth, Daniel
4 Wagner, Marcus M.
4 Wang, Lijuan
3 Barbu, Viorel
3 Bredies, Kristian
3 Court, Sébastien
3 Ghilli, Daria
3 Kroller, M.
3 Murphy, Katherine A.
3 Peralta, Gilbert R.
3 Pock, Thomas
3 Rodrigues, Sérgio S.
3 Xie, Lei
2 Barnard, Richard C.
2 Engl, Heinz W.
2 Jin, Bangti
2 Kärkkäinen, Tommi
2 Kruse, Florian
2 Kunoth, Angela
2 Liu, Steve Wenbin
2 Marduel, Xavier
2 Pieper, Konstantin
2 Pola, Cecilia
2 Sass, Jörn
2 Scherzer, Otmar
2 Spasov, Yulian
2 Steinbach, Olaf
2 Trautmann, Philip
2 Yan, Ningning
1 Baumeister, Johann
1 Bonifacius, Lucas
1 Boulanger, Anne-Céline
1 Burkard, Rainer E.
1 Capasso, Vicenzo
1 Capasso, Vincenzo
1 Chang, Yanzhen
1 Choi, Haecheon
1 Crowley, James M.
1 Effland, Alexander
1 Engel, Sebastian
1 Engwer, Christian
1 Friesecke, Gero
1 Geroldinger, Alfred
1 Geymayer, G.
1 Gherman, Ilia
1 Götschel, Sebastian
1 Graif, E.
1 Guglielmi, Roberto
1 Gunzburger, Max D.
1 Haase, Gundolf
1 Haddou, Mounir
1 Henneke, Felix
1 Hinterberger, Walter
1 Holler, Gernot
1 Holler, Martin
1 Hoppe, Ronald H. W.
1 Kauffmann, Andreas
...and 47 more Co-Authors
all top 5

Serials

45 SIAM Journal on Control and Optimization
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 Inverse Problems
11 SIAM Journal on Optimization
11 Computational Optimization and Applications
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Applied Mathematics and Optimization
8 Journal of Mathematical Analysis and Applications
8 Journal of Optimization Theory and Applications
8 ISNM. International Series of Numerical Mathematics
7 SIAM Journal on Numerical Analysis
7 Discrete and Continuous Dynamical Systems
5 SIAM Journal on Scientific Computing
5 Oberwolfach Reports
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Systems & Control Letters
4 Applied Numerical Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Imaging Sciences
4 Mathematical Control and Related Fields
3 Applicable Analysis
3 IMA Journal of Applied Mathematics
3 Journal of Mathematical Biology
3 Computing
3 Control and Cybernetics
3 Journal of Differential Equations
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Interfaces and Free Boundaries
3 Lecture Notes in Control and Information Sciences
3 Nonlinear Analysis. Theory, Methods & Applications
2 Computers & Mathematics with Applications
2 IMA Journal of Numerical Analysis
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 Numerical Functional Analysis and Optimization
2 Numerische Mathematik
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 IEEE Transactions on Automatic Control
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 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 GAMM-Mitteilungen
1 Bollettino della Unione Matematica Italiana. Series V. B
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

Publications by Year

Citations contained in zbMATH Open

295 Publications have been cited 5,056 times in 2,980 Documents Cited by Year
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
312
2003
Total generalized variation. Zbl 1195.49025
Bredies, Kristian; Kunisch, Karl; Pock, Thomas
216
2010
Lagrange multiplier approach to variational problems and applications. Zbl 1156.49002
Ito, Kazufumi; Kunisch, Karl
193
2008
Estimation techniques for distributed parameter systems. Zbl 0695.93020
Banks, H. T.; Kunisch, K.
181
1989
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118
Kunisch, K.; Volkwein, S.
178
2002
Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems. Zbl 0695.65037
Engl, Heinz W.; Kunisch, Karl; Neubauer, Andreas
170
1989
Galerkin proper orthogonal decomposition methods for parabolic problems. Zbl 1005.65112
Kunisch, K.; Volkwein, S.
154
2001
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. Zbl 0949.93039
Kunisch, K.; Volkwein, S.
114
1999
Primal-dual strategy for constrained optimal control problems. Zbl 0937.49017
Bergounioux, Maïtine; Ito, Kazufumi; Kunisch, Karl
113
1999
A reaction-diffusion system arising in modelling man-environment diseases. Zbl 0704.35069
Capasso, V.; Kunisch, K.
68
1988
\(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives. Zbl 0538.45007
Di Blasio, Gabriella; Kunisch, Karl; Sinestrari, Eugenio
65
1984
Second order methods for optimal control of time-dependent fluid flow. Zbl 1012.49026
Hinze, Michael; Kunisch, Karl
64
2001
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
58
2001
Primal-dual strategy for state-constrained optimal control problems. Zbl 1015.49026
Bergounioux, Maïtine; Kunisch, Karl
55
2002
Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0799.65060
Scherzer, O.; Engl, H. W.; Kunisch, K.
55
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.
52
2000
Semi-smooth Newton methods for state-constrained optimal control problems. Zbl 1157.49311
Ito, Kazufumi; Kunisch, Karl
51
2003
The linear regulator problem for parabolic systems. Zbl 0548.49017
Banks, H. T.; Kunisch, K.
48
1984
Semi-smooth Newton methods for variational inequalities of the first kinds. Zbl 1027.49007
Ito, Kazufumi; Kunisch, Karl
47
2003
Total bounded variation regularization as a bilaterally constrained optimization problem. Zbl 1055.94504
Hintermüller, M.; Kunisch, K.
44
2004
Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces. Zbl 0971.49014
Ito, Kazufumi; Kunisch, Karl
44
2000
Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028
Hintermüller, Michael; Kunisch, Karl
43
2006
Approximation of elliptic control problems in measure spaces with sparse solutions. Zbl 1343.49048
Casas, Eduardo; Clason, Christian; Kunisch, Karl
42
2012
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
42
2011
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
42
2008
Parabolic control problems in measure spaces with sparse solutions. Zbl 1266.49037
Casas, Eduardo; Clason, Christian; Kunisch, Karl
40
2013
Primal-dual active set strategy for a general class of constrained optimal control problems. Zbl 1028.49027
Kunisch, K.; Rösch, A.
39
2002
The augmented Lagrangian method for parameter estimation in elliptic systems. Zbl 0709.93021
Ito, Kazufumi; Kunisch, Karl
39
1990
Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030
Hintermüller, M.; Kunisch, K.
38
2006
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
35
2004
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.
35
2003
Optimal control of elliptic variational inequalities. Zbl 0960.49003
Ito, K.; Kunisch, K.
34
2000
Regularization of linear least squares problems by total bounded variation. Zbl 0890.49010
Chavent, G.; Kunisch, K.
34
1997
The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces. Zbl 0706.90096
Ito, K.; Kunisch, K.
33
1990
Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups. Zbl 0533.35082
Kunisch, K.; Schappacher, W.
33
1983
Variational approach to shape derivatives. Zbl 1357.49148
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
32
2008
Augmented Lagrangian active set methods for obstacle problems. Zbl 1045.49026
Kärkkäinen, T.; Kunisch, K.; Tarvainen, P.
32
2003
Measure valued directional sparsity for parabolic optimal control problems. Zbl 1326.49035
Kunisch, Karl; Pieper, Konstantin; Vexler, Boris
31
2014
Algorithms for PDE-constrained optimization. Zbl 1207.49034
Herzog, Roland; Kunisch, Karl
31
2010
A bilevel optimization approach for parameter learning in variational models. Zbl 1280.49053
Kunisch, Karl; Pock, Thomas
30
2013
Augmented Lagrangian techniques for elliptic state constrained optimal control problems. Zbl 0897.49001
Bergounioux, Maitine; Kunisch, Karl
29
1997
Stability for abstract linear functional differential equations. Zbl 0594.45014
Di Blasio, G.; Kunisch, K.; Sinestrari, E.
29
1985
Instantaneous control of backward-facing step flows. Zbl 0939.76027
Choi, Haecheon; Hinze, Michael; Kunisch, Karl
28
1999
Variational approach to shape derivatives for a class of Bernoulli problems. Zbl 1088.49028
Ito, Kazufumi; Kunisch, Karl; Peichl, Gunther H.
27
2006
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.
27
2003
Iterative choices of regularization parameters in linear inverse problems. Zbl 0917.65053
Kunisch, Karl; Zou, Jun
27
1998
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
26
2013
Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints. Zbl 1251.35174
Kunisch, Karl; Wang, Lijuan
26
2012
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.
26
2005
The primal-dual active set method for nonlinear optimal control problems with bilateral constraints. Zbl 1077.90051
Ito, Kazufumi; Kunisch, Karl
24
2004
On the structure of Lagrange multipliers for state-constrained optimal control problems. Zbl 1134.49310
Bergounioux, Maïtine; Kunisch, Karl
24
2003
Regularization by functions of bounded variation and applications to image enhancement. Zbl 0942.49014
Casas, E.; Kunisch, K.; Pola, C.
24
1999
Optimal bilinear control of an abstract Schrödinger equation. Zbl 1136.35089
Ito, Kazufumi; Kunisch, Karl
23
2007
Stability for parameter estimation in two point boundary value problems. Zbl 0584.34009
Colonius, F.; Kunisch, K.
23
1986
Semismooth Newton methods for optimal control of the wave equation with control constraints. Zbl 1218.49035
Kröner, Axel; Kunisch, Karl; Vexler, Boris
22
2011
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
22
2010
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
22
2010
PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037
Hintermüller, Michael; Kunisch, Karl
22
2009
Second order methods for boundary control of the instationary Navier-Stokes system. Zbl 1042.35047
Hinze, Michael; Kunisch, Karl
22
2004
Receding horizon optimal control for infinite dimensional systems. Zbl 1066.49020
Ito, Kazufumi; Kunisch, Karl
22
2002
A measure space approach to optimal source placement. Zbl 1258.49041
Clason, Christian; Kunisch, Karl
21
2012
Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology. Zbl 1226.49024
Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot
21
2011
Constrained Dirichlet boundary control in \(L^2\) for a class of evolution equations. Zbl 1144.49003
Kunisch, K.; Vexler, B.
21
2007
A multigrid scheme for elliptic constrained optimal control problems. Zbl 1081.49022
Borzì, A.; Kunisch, K.
21
2005
Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case. Zbl 1253.49024
Bredies, Kristian; Kunisch, Karl; Valkonen, Tuomo
20
2013
Semi-smooth Newton methods for the Signorini problem. Zbl 1199.49064
Ito, Kazufumi; Kunisch, Karl
20
2008
Optimal control formulation for determining optical flow. Zbl 1041.68103
Borzì, Alfio; Ito, Kazufumi; Kunisch, Karl
20
2002
Cubic spline approximation techniques for parameter estimation in distributed systems. Zbl 0529.93021
Banks, H. T.; Crowley, James M.; Kunisch, Karl
20
1983
Spline approximations for neutral functional differential equations. Zbl 0511.65053
Kappel, F.; Kunisch, K.
20
1981
An augmented Lagrangian technique for variational inequalities. Zbl 0692.49008
Ito, K.; Kunisch, K.
19
1990
Nonlinear age-dependent population dynamics with random diffusion. Zbl 0581.92021
Kunisch, K.; Schappacher, W.; Webb, G. F.
19
1985
On infimal convolution of TV-type functionals and applications to video and image reconstruction. Zbl 1308.94019
Holler, Martin; Kunisch, Karl
18
2014
Optimal control of semilinear elliptic equations in measure spaces. Zbl 1306.90172
Casas, Eduardo; Kunisch, Karl
18
2014
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space. Zbl 1330.74132
Kunisch, Karl; Stadler, Georg
18
2005
Output least squares stability in elliptic systems. Zbl 0656.93024
Colonius, F.; Kunisch, K.
18
1989
Optimal control approach to termination of re-entry waves in cardiac electrophysiology. Zbl 1319.92021
Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot
17
2013
POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation. Zbl 1080.93012
Kunisch, K.; Xie, L.
17
2005
The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
17
2004
An active set strategy based on the augmented Lagrangian formulation for image restoration. Zbl 0918.65050
Ito, Kazufumi; Kunisch, Karl
17
1999
Parabolic control problems in space-time measure spaces. Zbl 1343.49036
Casas, Eduardo; Kunisch, Karl
16
2016
Optimal control of non-isothermal viscoelastic fluid flow. Zbl 0964.76007
Kunisch, K.; Marduel, X.
16
2000
Augmented Lagrangian-SQP-methods in Hilbert spaces and application to control in the coefficients problems. Zbl 0846.65026
Ito, Kazufumi; Kunisch, Karl
16
1996
Riccati-based feedback control of the monodomain equations with the Fitzhugh-Nagumo model. Zbl 1316.93047
Breiten, Tobias; Kunisch, Karl
15
2015
Optimal control of parabolic variational inequalities. Zbl 1247.35062
Ito, Kazufumi; Kunisch, Karl
15
2010
Problem of crack perturbation based on level sets and velocities. Zbl 1353.74064
Kovtunenko, V. A.; Kunisch, K.
15
2007
Parabolic variational inequalities: the Lagrange multiplier approach. Zbl 1086.49004
Ito, Kazufumi; Kunisch, Karl
15
2006
Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type. Zbl 0860.49023
Ito, Kazufumi; Kunisch, Karl
15
1996
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation. Zbl 0790.49028
Ito, K.; Kunisch, K.
15
1992
An approximation theory for nonlinear partial differential equations with applications to identification and control. Zbl 0503.93016
Banks, H. T.; Kunisch, K.
15
1982
Optimal control of the undamped linear wave equation with measure valued controls. Zbl 1343.35239
Kunisch, Karl; Trautmann, Philip; Vexler, Boris
14
2016
Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
14
2011
On the shape derivative for problems of Bernoulli type. Zbl 1178.49055
Haslinger, J.; Ito, Kazufumi; Kozubek, T.; Kunisch, K.; Peichl, G.
14
2009
Optimal vortex reduction for instationary flows based on translation invariant cost functionals. Zbl 1159.35398
Kunisch, K.; Vexler, B.
14
2007
Optimal control for a stationary MHD system in velocity-current formulation. Zbl 1354.49004
Griesse, Roland; Kunisch, Karl
14
2006
Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023
Hintermüller, M.; Kovtunenko, V.; Kunisch, K.
14
2004
Differentiability properties of the \(L^1\)-tracking functional and application to the Robin inverse problem. Zbl 1061.35163
Chaabane, S.; Ferchichi, J.; Kunisch, K.
14
2004
The parameter estimation problem for parabolic equations and discontinuous observation operators. Zbl 0581.93018
Kunisch, K.; White, L.
14
1985
Semismooth Newton methods for time-optimal control for a class of ODEs. Zbl 1202.49041
Ito, Kazufumi; Kunisch, Karl
13
2010
A semismooth Newton method for \(\mathrm{L}^1\) data fitting with automatic choice of regularization parameters and noise calibration. Zbl 1190.65022
Clason, Christian; Jin, Bangti; Kunisch, Karl
13
2010
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
12
2016
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
2
2020
Analysis and finite element discretization for optimal control of a linear fluid-structure interaction problem with delay. Zbl 07330016
Peralta, Gilbert; Kunisch, Karl
1
2020
Analysis of the Barzilai-Borwein step-sizes for problems in Hilbert spaces. Zbl 07211753
Azmi, Behzad; 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.
3
2019
Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ODE systems. Zbl 1422.93155
Kunisch, Karl; Rodrigues, Sérgio S.
3
2019
Taylor expansions of the value function associated with a bilinear optimal control problem. Zbl 1420.49005
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
3
2019
Optimal control of the two-dimensional stationary Navier-Stokes equations with measure valued controls. Zbl 1433.49037
Casas, Eduardo; Kunisch, Karl
3
2019
Analysis of optimal control problems of semilinear elliptic equations by BV-functions. Zbl 1421.35124
Casas, Eduardo; Kunisch, Karl
2
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
2
2019
Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation. Zbl 1425.35135
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
1
2019
Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay. Zbl 1425.74163
Peralta, Gilbert; Kunisch, Karl
1
2019
A hybrid finite-dimensional RHC for stabilization of time-varying parabolic equations. Zbl 1427.49024
Azmi, Behzad; Kunisch, Karl
1
2019
Using sparse control methods to identify sources in linear diffusion-convection equations. Zbl 1447.35376
Casas, Eduardo; Kunisch, Karl
1
2019
On a monotone scheme for nonconvex nonsmooth optimization with applications to fracture mechanics. Zbl 1425.49016
Ghilli, Daria; Kunisch, Karl
1
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
11
2018
Optimal control of elliptic variational-hemivariational inequalities. Zbl 06931878
Peng, Zijia; Kunisch, Karl
7
2018
Control strategies for the Fokker-Planck equation. Zbl 1403.35298
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
2018
Receding horizon control for the stabilization of the wave equation. Zbl 1380.49053
Azmi, Behzad; Kunisch, Karl
6
2018
Infinite-horizon bilinear optimal control problems: sensitivity analysis and polynomial feedback laws. Zbl 1401.49004
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
5
2018
Total variation regularization of multi-material topology optimization. Zbl 1397.49056
Clason, Christian; Kruse, Florian; Kunisch, Karl
5
2018
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
4
2018
A bilevel approach for parameter learning in inverse problems. Zbl 1400.49046
Holler, Gernot; Kunisch, Karl; Barnard, Richard C.
4
2018
Optimal actuator design based on shape calculus. Zbl 1411.49030
Kalise, Dante; Kunisch, Karl; Sturm, Kevin
3
2018
On the one-dimensional nonlinear monodomain equations with moving controls. Zbl 1447.35190
Kunisch, Karl; Souza, Diego A.
3
2018
Hybrid optimal control problems for a class of semilinear parabolic equations. Zbl 1407.49027
Court, Sébastien; Kunisch, Karl; Pfeiffer, Laurent
2
2018
Interface stabilization of a parabolic-hyperbolic PDE system with delay in the interaction. Zbl 1397.35032
Peralta, Gilbert; Kunisch, Karl
2
2018
Frequency-sparse optimal quantum control. Zbl 1407.49006
Friesecke, Gero; Henneke, Felix; Kunisch, Karl
1
2018
Revisiting generalized FEM: a Petrov-Galerkin enrichment based FEM interpolation for Helmholtz problem. Zbl 1404.65272
Kovtunenko, Victor A.; Kunisch, Karl
1
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
1
2018
Nonconvex penalization of switching control of partial differential equations. Zbl 1376.49035
Clason, Christian; Rund, Armin; Kunisch, Karl
8
2017
Optimal control of semilinear parabolic equations by BV-functions. Zbl 1365.35077
Casas, Eduardo; Kruse, Florian; Kunisch, Karl
8
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.
6
2017
Compensator design for the monodomain equations with the FitzHugh-Nagumo model. Zbl 1371.35153
Breiten, Tobias; Kunisch, Karl
6
2017
Stabilization by sparse controls for a class of semilinear parabolic equations. Zbl 1372.35152
Casas, Eduardo; Kunisch, Karl
5
2017
Infinite horizon sparse optimal control. Zbl 1372.49002
Kalise, Dante; Kunisch, Karl; Rao, Zhiping
4
2017
Minimal time problem with impulsive controls. Zbl 1361.49002
Kunisch, Karl; Rao, Zhiping
3
2017
Primal-dual active set strategy for large scale optimization of cardiac defibrillation. Zbl 1410.49030
Chamakuri, Nagaiah; Kunisch, Karl
1
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
16
2016
Optimal control of the undamped linear wave equation with measure valued controls. Zbl 1343.35239
Kunisch, Karl; Trautmann, Philip; Vexler, Boris
14
2016
A convex analysis approach to optimal controls with switching structure for partial differential equations. Zbl 1338.49056
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
12
2016
A convex analysis approach to multi-material topology optimization. Zbl 1354.49092
Clason, Christian; Kunisch, Karl
9
2016
A convex penalty for switching control of partial differential equations. Zbl 1335.49042
Clason, Christian; Rund, Armin; Kunisch, Karl; Barnard, Richard C.
9
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
8
2016
On the stabilizability of the Burgers equation by receding horizon control. Zbl 1352.49003
Azmi, Behzad; Kunisch, Karl
6
2016
Bang-bang property of time optimal controls of semilinear parabolic equation. Zbl 1317.35102
Kunisch, Karl; Wang, Lijuan
6
2016
Local minimization algorithms for dynamic programming equations. Zbl 1339.65084
Kalise, Dante; Kröner, Axel; Kunisch, Karl
4
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
15
2015
Optimal feedback control for undamped wave equations by solving a HJB equation. Zbl 1318.49069
Kröner, Axel; Kunisch, Karl; Zidani, Hasnaa
4
2015
Time optimal control of the monodomain model in cardiac electrophysiology. Zbl 1338.35436
Kunisch, Karl; Rund, Armin
3
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
2
2015
Uniform convergence of the POD method and applications to optimal control. Zbl 1337.65053
Kunisch, Karl; Müller, Markus
1
2015
Measure valued directional sparsity for parabolic optimal control problems. Zbl 1326.49035
Kunisch, Karl; Pieper, Konstantin; Vexler, Boris
31
2014
On infimal convolution of TV-type functionals and applications to video and image reconstruction. Zbl 1308.94019
Holler, Martin; Kunisch, Karl
18
2014
Optimal control of semilinear elliptic equations in measure spaces. Zbl 1306.90172
Casas, Eduardo; Kunisch, Karl
18
2014
Multi-bang control of elliptic systems. Zbl 1304.49014
Clason, Christian; Kunisch, Karl
11
2014
High precision identification of an object: optimality-conditions-based concept of imaging. Zbl 1293.35366
Kovtunenko, Victor A.; Kunisch, Karl
11
2014
A variational approach to sparsity optimization based on Lagrange multiplier theory. Zbl 1292.65070
Ito, Kazufumi; Kunisch, Karl
10
2014
Optimal control with \(L^p(\Omega)\), \(p\in [0,1)\), control cost. Zbl 1306.49010
Ito, Kazufumi; Kunisch, Karl
8
2014
The bang-bang property of time optimal controls for the Burgers equation. Zbl 1304.49015
Kunisch, Karl; Wang, Lijuan
7
2014
A note on the existence of nonsmooth nonconvex optimization problems. Zbl 1307.49007
Ito, Kazufumi; Kunisch, Karl
6
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.
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
3
2014
Boundary control of bidomain equations with state-dependent switching source functions in the ionic model. Zbl 1351.35230
Chamakuri, Nagaiah; Engwer, Christian; Kunisch, Karl
2
2014
A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Zbl 1335.35309
Kasumba, Henry; Kunisch, Karl; Laurain, Antoine
1
2014
Parabolic control problems in measure spaces with sparse solutions. Zbl 1266.49037
Casas, Eduardo; Clason, Christian; Kunisch, Karl
40
2013
A bilevel optimization approach for parameter learning in variational models. Zbl 1280.49053
Kunisch, Karl; Pock, Thomas
30
2013
Time optimal control of the heat equation with pointwise control constraints. Zbl 1272.35109
Kunisch, Karl; Wang, Lijuan
26
2013
Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case. Zbl 1253.49024
Bredies, Kristian; Kunisch, Karl; Valkonen, Tuomo
20
2013
Optimal control approach to termination of re-entry waves in cardiac electrophysiology. Zbl 1319.92021
Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot
17
2013
On time optimal control of the wave equation and its numerical realization as parametric optimization problem. Zbl 1268.49035
Kunisch, Karl; Wachsmuth, Daniel
12
2013
Optimal control of the bidomain system. III: Existence of minimizers and first-order optimality conditions. Zbl 1275.49005
Kunisch, Karl; Wagner, Marcus
10
2013
Optimal control of the bidomain system. II: Uniqueness and regularity theorems for weak solutions. Zbl 1280.49005
Kunisch, Karl; Wagner, Marcus
9
2013
On boundary stimulation and optimal boundary control of the bidomain equations. Zbl 1308.92013
Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot
6
2013
On time optimal control of the wave equation, its regularization and optimality system. Zbl 1268.49025
Kunisch, Karl; Wachsmuth, Daniel
6
2013
Primal-dual methods for the computation of trading regions under proportional transaction costs. Zbl 1258.49042
Herzog, Roland; Kunisch, Karl; Sass, Jörn
6
2013
Optimal control for an elliptic system with convex polygonal control constraints. Zbl 1273.65084
Kunisch, Karl; Lu, Xiliang
4
2013
Optimal control for elliptic systems with pointwise Euclidean norm constraints on the controls. Zbl 1280.49041
Kunisch, Karl; Lu, Xiliang
2
2013
Control and optimization with PDE constraints. Based on the international workshop on control and optimization of PDEs, Mariatrost, Austria, October 10–14, 2011. Zbl 1267.49001
Bredies, Kristian (ed.); Clason, Christian (ed.); Kunisch, Karl (ed.); von Winckel, Gregory (ed.)
1
2013
Approximation of elliptic control problems in measure spaces with sparse solutions. Zbl 1343.49048
Casas, Eduardo; Clason, Christian; Kunisch, Karl
42
2012
Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints. Zbl 1251.35174
Kunisch, Karl; Wang, Lijuan
26
2012
A measure space approach to optimal source placement. Zbl 1258.49041
Clason, Christian; Kunisch, Karl
21
2012
Optimal control of the bidomain system (I): the monodomain approximation with the Rogers-McCulloch model. Zbl 1256.49009
Kunisch, Karl; Wagner, Marcus
12
2012
Sufficient optimality conditions and semi-smooth Newton methods for optimal control of stationary variational inequalities. Zbl 1246.49021
Kunisch, Karl; Wachsmuth, Daniel
10
2012
Path-following for optimal control of stationary variational inequalities. Zbl 1239.49010
Kunisch, Karl; Wachsmuth, Daniel
9
2012
Vortex control in channel flows using translational invariant cost functionals. Zbl 1258.49070
Kasumba, H.; Kunisch, K.
7
2012
On free surface PDE constrained shape optimization problems. Zbl 1278.49051
Kasumba, H.; Kunisch, K.
3
2012
A minimum effort optimal control problem for elliptic PDEs. Zbl 1270.49023
Clason, Christian; Ito, Kazufumi; Kunisch, Karl
2
2012
A duality-based approach to elliptic control problems in non-reflexive Banach spaces. Zbl 1213.49041
Clason, Christian; Kunisch, Karl
42
2011
Semismooth Newton methods for optimal control of the wave equation with control constraints. Zbl 1218.49035
Kröner, Axel; Kunisch, Karl; Vexler, Boris
22
2011
Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology. Zbl 1226.49024
Nagaiah, Chamakuri; Kunisch, Karl; Plank, Gernot
21
2011
Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
14
2011
Higher order optimization and adaptive numerical solution for optimal control of monodomain equations in cardiac electrophysiology. Zbl 1201.92026
Nagaiah, Chamakuri; Kunisch, Karl
10
2011
On shape sensitivity analysis of the cost functional without shape sensitivity of the state variable. Zbl 1318.49080
Kasumba, Henry; Kunisch, Karl
5
2011
A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology. Zbl 1380.92039
Kunisch, Karl; Nagaiah, Chamakuri; Wagner, Marcus
4
2011
Karush-Kuhn-Tucker conditions for nonsmooth mathematical programming problems in function spaces. Zbl 1234.49021
Ito, Kazufumi; Kunisch, Karl
4
2011
Minimal effort problems and their treatment by semismooth Newton methods. Zbl 1234.49017
Ito, Kazufumi; Kunisch, Karl
3
2011
...and 195 more Documents
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Cited by 3,812 Authors

142 Kunisch, Karl
42 Luo, Zhendong
40 Hintermüller, Michael
35 Tröltzsch, Fredi
32 Banks, Harvey Thomas
31 Ito, Kazufumi
30 Hinze, Michael
28 Volkwein, Stefan
27 Casas, Eduardo
25 Borzì, Alfio
25 Kovtunenko, Viktor Anatolievich
24 Benner, Peter
24 Vexler, Boris
23 Clason, Christian
23 Herzog, Roland
22 Kaltenbacher, Barbara
21 Rozza, Gianluigi
21 Scherzer, Otmar
19 Bredies, Kristian
19 Burger, Martin
19 Dehghan Takht Fooladi, Mehdi
19 Hofmann, Bernd
19 Rösch, Arnd
19 Wachsmuth, Daniel
18 De los Reyes, Juan Carlos
18 Jeong, Jin-Mun
17 Huang, Ting-Zhu
17 Maksimov, Vyacheslav Ivanovich
17 Wohlmuth, Barbara I.
16 Khan, Akhtar Ali
16 Stoll, Martin
15 Valkonen, Tuomo
15 Vlasov, Viktor Valentinovich
14 Breiten, Tobias
14 Brenner, Susanne Cecelia
14 George, Santhosh
14 Iliescu, Traian
14 Jin, Qinian
14 Meyer, Christian
13 Han, Bo
13 Navon, Ionel Michael
13 Neitzel, Ira
13 Sama, Miguel
13 Steidl, Gabriele
13 Tai, Xuecheng
13 White, Luther W.
13 Yousept, Irwin
12 Gong, Wei
12 Gudi, Thirupathi
12 Karasözen, Bülent
12 Manzoni, Andrea
12 Schönlieb, Carola-Bibiane
12 Trélat, Emmanuel
11 Cheng, Xiaoliang
11 Harbrecht, Helmut
11 Mateos, Mariano
11 Rosen, I. Gary
11 Singler, John R.
11 Yan, Ningning
11 Zou, Jun
10 Jadamba, Baasansuren
10 Kärkkäinen, Tommi
10 Li, Xiaolin
10 Patera, Anthony T.
10 Teng, Fei
10 Wang, Lijuan
10 Wang, Zhu
10 Weinmann, Andreas
10 Weiser, Martin
10 Wick, Thomas
10 Willcox, Karen E.
9 Alla, Alessandro
9 Chamakuri, Nagaiah
9 Gugat, Martin
9 Gunzburger, Max D.
9 Jin, Bangti
9 Kalise, Dante
9 Kanzow, Christian
9 Khludnev, Aleksandr Mikhaĭlovich
9 Laurain, Antoine
9 Li, Hong
9 Mallea-Zepeda, Exequiel
9 Neubauer, Andreas
9 Pinnau, René
9 Pock, Thomas
9 Popp, Alexander
9 Quarteroni, Alfio M.
9 Rautenberg, Carlos N.
9 Rautian, Nadegda Aleksandrovna
9 Ring, Wolfgang
9 Wall, Wolfgang A.
9 Wollner, Winnifried
9 Zhang, Shougui
8 Ackleh, Azmy S.
8 Chen, Ke
8 Đinh Nho Hào
8 Gugercin, Serkan
8 Haslinger, Jaroslav
8 Holler, Martin
8 Kindermann, Stefan
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Cited in 335 Serials

99 Computers & Mathematics with Applications
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91 Journal of Computational and Applied Mathematics
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89 SIAM Journal on Control and Optimization
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78 Journal of Optimization Theory and Applications
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60 Journal of Computational Physics
57 Journal of Scientific Computing
54 Inverse Problems
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49 Journal of Inverse and Ill-Posed Problems
49 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
47 Journal of Mathematical Imaging and Vision
44 Applied Numerical Mathematics
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32 Applicable Analysis
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30 Inverse Problems in Science and Engineering
29 Advances in Computational Mathematics
28 Automatica
28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
25 Mathematical Problems in Engineering
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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7 Bulletin of Mathematical Biology
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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7 East Asian Journal on Applied Mathematics
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6 Mathematics and Mechanics of Solids
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