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Tröltzsch, Fredi

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Author ID: troltzsch.fredi Recent zbMATH articles by "Tröltzsch, Fredi"
Published as: Tröltzsch, Fredi; Tröltzsch, F.; Troeltzsch, Fredi; Troeltzsch, F.
Homepage: https://www.math.tu-berlin.de/fachgebiete_ag_modnumdiff/fg_optimierung_bei_parti...
External Links: MGP
Documents Indexed: 166 Publications since 1975, including 15 Books
Biographic References: 1 Publication
all top 5

Serials

15 Computational Optimization and Applications
14 SIAM Journal on Control and Optimization
12 Control and Cybernetics
10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Zeitschrift für Analysis und ihre Anwendungen
6 Optimization
5 SIAM Journal on Optimization
5 Mathematical Control and Related Fields
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Mathematische Operationsforschung und Statistik. Series Optimization
4 Optimization Methods & Software
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 ISNM. International Series of Numerical Mathematics
3 Applied Mathematics and Optimization
3 Numerical Functional Analysis and Optimization
3 Vietnam Journal of Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Mathematische Nachrichten
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Computational Methods in Applied Mathematics
2 Oberwolfach Reports
2 PAMM. Proceedings in Applied Mathematics and Mechanics
2 Discrete and Continuous Dynamical Systems. Series S
1 Applicable Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Wissenschaftliche Zeitschrift der Technischen Universität Karl-Marx-Stadt
1 Wissenschaftliche Zeitschrift der Technischen Universität Chemnitz
1 Automatica
1 Demonstratio Mathematica
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Journal of Integral Equations
1 Systems Analysis, Modelling Simulation
1 Archives of Control Sciences
1 SIAM Journal on Scientific Computing
1 Discrete and Continuous Dynamical Systems
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Doklady Mathematics
1 International Journal of Applied Mathematics and Computer Science
1 Discussiones Mathematicae. Differential Inclusions, Control and Optimization
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 GAMM-Mitteilungen
1 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik
1 Mathematische Operationsforschung und Statistik
1 Graduate Studies in Mathematics
1 IFIP Advances in Information and Communication Technology
1 Beiträge zur Analysis

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,760 times in 921 Documents Cited by Year
Optimal control of partial differential equations. Theory, methods and applications. Zbl 1195.49001
Tröltzsch, Fredi
285
2010
Error estimates for the numerical approximation of a semilinear elliptic control problem. Zbl 1033.65044
Arada, Nadir; Casas, Eduardo; Tröltzsch, Fredi
118
2002
Sufficient second-order optimality conditions for semilinear control problems with pointwise state constraints. Zbl 1161.49019
Casas, Eduardo; De Los Reyes, Juan Carlos; Tröltzsch, Fredi
54
2008
Optimal control of PDEs with regularized pointwise state constraints. Zbl 1103.90072
Meyer, Christian; Rösch, Arnd; Tröltzsch, Fredi
48
2006
Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Zbl 1081.49023
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
47
2005
Optimal control of partial differential equations. Theory, procedures, and applications. (Optimale Steuerung partieller Differentialgleichungen. Theorie, Verfahren und Anwendungen.) Zbl 1142.49001
Tröltzsch, Fredi
43
2005
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
40
2009
Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints. Zbl 1010.49015
Raymond, J.-P.; Tröltzsch, F.
33
2000
Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory. Zbl 1052.49022
Casas, Eduardo; Tröltzsch, Fredi
33
2002
Second order analysis for optimal control problems: improving results expected from abstract theory. Zbl 1259.90162
Casas, Eduardo; Tröltzsch, Fredi
32
2012
Second order optimality conditions and their role in PDE control. Zbl 1311.49002
Casas, Eduardo; Tröltzsch, Fredi
32
2015
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
31
2006
Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations. Zbl 0962.49016
Casas, Eduardo; Tröltzsch, Fredi; Unger, Andreas
30
2000
Error estimates for the discretization of state constrained convex control problems. Zbl 0899.49013
Tiba, D.; Tröltzsch, F.
29
1996
First- and second-order optimality conditions for a class of optimal control problems with quasilinear elliptic equations. Zbl 1194.49025
Casas, Eduardo; Tröltzsch, Fredi
29
2009
Error estimates for the finite-element approximation of a semilinear elliptic control problem. Zbl 1126.49315
Casas, Eduardo; Tröltzsch, Fredi
28
2002
On two numerical methods for state-constrained elliptic control problems. Zbl 1172.49022
Meyer, Christian; Prüfert, U.; Tröltzsch, F.
27
2007
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
26
2013
On Nemytskij operators in \(L_ p\)-spaces of abstract functions. Zbl 0760.47031
Goldberg, H.; Kampowsky, W.; Tröltzsch, F.
26
1992
Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations. Zbl 0921.49013
Casas, E.; Tröltzsch, F.
25
1999
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems – strong convergence of optimal controls. Zbl 0802.49017
Tröltzsch, Fredi
21
1994
Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints. Zbl 1083.49018
Tröltzsch, Fredi
21
2005
Second order and stability analysis for optimal sparse control of the Fitzhugh-Nagumo equation. Zbl 1326.49032
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
20
2015
The convergence of an interior point method for an elliptic control problem with mixed control-state constraints. Zbl 1144.90511
Prüfert, Uwe; Tröltzsch, Fredi; Weiser, Martin
20
2008
Optimal control of partial differential equations. Theory, methods and applications. 2nd revised ed. (Optimale Steuerung partieller Differentialgleichungen. Theorie, Verfahren und Anwendungen.) Zbl 1320.49001
Tröltzsch, Fredi
19
2009
Error estimates for linear-quadratic elliptic control problems. Zbl 1027.65088
Casas, Eduardo; Tröltzsch, Fredi
19
2003
Optimal control of three-dimensional state-constrained induction heating problems with nonlocal radiation effects. Zbl 1229.49021
Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi; Yousept, Irwin
18
2011
A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints. Zbl 1153.65343
Tröltzsch, F.; Yousept, I.
18
2009
Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem. Zbl 0879.49020
Casas, E.; Tröltzsch, F.; Unger, A.
17
1996
Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints. Zbl 1356.49034
De Los Reyes, J. C.; Tröltzsch, F.
17
2007
On the optimal control of the Schlögl-model. Zbl 1273.49006
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi
16
2013
Fast solution of optimal control problems in the selective cooling of steel. Zbl 0993.49024
Unger, A.; Tröltzsch, F.
16
2001
On regularity of solutions and Lagrange multipliers of optimal control problems for semilinear equations with mixed pointwise control-state constraints. Zbl 1357.49093
Rösch, A.; Tröltzsch, F.
16
2007
Second-order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems. Zbl 0787.49011
Goldberg, H.; Tröltzsch, F.
15
1993
Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space. Zbl 1191.65076
Merino, Pedro; Tröltzsch, Fredi; Vexler, Boris
15
2010
On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints. Zbl 1171.49017
Neitzel, Ira; Tröltzsch, Fredi
14
2009
On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints. Zbl 1188.49029
Neitzel, Ira; Tröltzsch, Fredi
14
2008
Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints. Zbl 1038.49028
Rösch, A.; Tröltzsch, F.
14
2003
Optimal control of a semilinear PDE with nonlocal radiation interface conditions. Zbl 1109.49026
Meyer, C.; Philip, P.; Tröltzsch, F.
13
2007
Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. Zbl 1119.49022
Rösch, A.; Tröltzsch, F.
13
2006
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
13
2001
Optimality conditions for parabolic control problems and applications. Zbl 0587.49021
Tröltzsch, Fredi
13
1984
Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051
Hintermüller, M.; Tröltzsch, F.; Yousept, I.
13
2008
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages. Zbl 1288.78040
Tröltzsch, Fredi; Yousept, Irwin
12
2012
Existence of regular Lagrange multipliers for a nonlinear elliptic optimal control problem with pointwise control-state constraints. Zbl 1108.49019
Rösch, A.; Tröltzsch, F.
12
2007
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
12
2010
Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023
Heinkenschloss, Matthias; Tröltzsch, Fredi
12
1999
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Zbl 1264.49030
Casas, Eduardo; Tröltzsch, Fredi
11
2012
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD. Zbl 1282.49021
Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan
11
2013
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
11
2014
Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems. Zbl 1201.49004
Casas, Eduardo; Tröltzsch, Fredi
11
2010
Optimality conditions for state-constrained PDE control problems with time-dependent controls. Zbl 1153.49006
de Los Reyes, J. C.; Merino, P.; Rehberg, J.; Tröltzsch, F.
11
2008
Second-order and stability analysis for state-constrained elliptic optimal control problems with sparse controls. Zbl 1306.90173
Casas, Eduardo; Tröltzsch, Fredi
10
2014
Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems. Zbl 1337.49038
Casas, Eduardo; Tröltzsch, Fredi
10
2016
On the Lagrange–Newton–SQP method for the optimal control of semilinear parabolic equations. Zbl 0954.49018
Tröltzsch, Fredi
10
1999
Optimality conditions and generalized bang-bang principle for a state-constrained semilinear parabolic problem. Zbl 0858.49021
Bergounioux, M.; Tröltzsch, F.
9
1996
Some aspects of reachability for parabolic boundary control problems with control constraints. Zbl 1245.93016
Dhamo, Vili; Tröltzsch, Fredi
9
2011
Optimal boundary control of a system of reaction diffusion equations. Zbl 1375.49030
Barthel, Werner; John, Christian; Tröltzsch, Fredi
9
2010
A minimum principle and a generalized Bang-Bang-principle for a distributed optimal control problem with constraints on control and state. Zbl 0425.49014
Tröltzsch, F.
8
1979
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equestions. Zbl 1127.49021
Roubíček, Tomaš; Tröltzsch, Fredi
8
2003
On an elliptic optimal control problem with pointwise mixed control-state constraints. Zbl 1194.49027
Meyer, Christian; Tröltzsch, Fredi
8
2006
On linear-quadratic elliptic control problems of semi-infinite type. Zbl 1225.49008
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
8
2011
Optimal control of magnetic fields in flow measurement. Zbl 1307.49021
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
7
2015
Lipschitz stability of solutions to parametric optimal control problems for parabolic equations. Zbl 0963.49019
Malanowski, K.; Tröltzsch, F.
7
1999
Optimal control of semilinear parabolic equations with state-constraints of bottleneck type. Zbl 0929.49001
Bergounioux, Maïtine; Tröltzsch, Fredi
7
1999
Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations. Zbl 1228.49033
Casas, Eduardo; Tröltzsch, Fredi
7
2011
A coupled Maxwell integrodifferential model for magnetization processes. Zbl 1286.35140
Nicaise, Serge; Tröltzsch, F.
7
2014
Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121
Gugat, Martin; Tröltzsch, Fredi
7
2015
An optimal control problem arising from the identification of nonlinear heat transfer laws. Zbl 0784.49016
Rösch, Arnd; Tröltzsch, Fredi
7
1992
Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations. Zbl 0954.49017
Tröltzsch, Fredi
7
2000
On a Lagrange-Newton method for a nonlinear parabolic boundary control problem. Zbl 0909.49016
Goldberg, H.; Tröltzsch, F.
6
1998
On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces. Zbl 1039.90094
Arada, Nadir; Raymond, Jean-Pierre; Tröltzsch, Fredi
5
2002
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems. Zbl 1237.49039
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
5
2010
A modification of the Zowe and Kurcyusz regularity condition with application to the optimal control of Noether operator equations with constraints on the control and the state. Zbl 0523.90091
Troeltzsch, F.
5
1983
On convergence of semidiscrete Ritz-Galerkin schemes applied to the boundary control of parabolic equations with non-linear boundary condition. Zbl 0796.35081
Tröltzsch, F.
5
1992
On finite element error estimates for optimal control problems with elliptic PDEs. Zbl 1280.49008
Tröltzsch, Fredi
5
2010
Optimization of nonlocal time-delayed feedback controllers. Zbl 1343.49056
Nestler, Peter; Schöll, Eckehard; Tröltzsch, Fredi
5
2016
Optimal control of linear bottleneck problems. Zbl 0904.49020
Bergounioux, M.; Troeltzsch, F.
4
1998
Optimal control of low-frequency electromagnetic fields in multiply connected conductors. Zbl 1345.49027
Tröltzsch, F.; Valli, A.
4
2016
Second order optimality conditions for a class of control problems governed by nonlinear integral equations with application to parabolic boundary control. Zbl 0682.49027
Goldberg, H.; Tröltzsch, F.
4
1989
Necessary and sufficient optimality conditions for optimization problems in function spaces and applications to control theory. Zbl 1034.49020
Casas, E.; Mateos, Mariano; Tröltzsch, Fredi
4
2003
On switching points of optimal controls for coercive parabolic boundary control problems. Zbl 0596.49005
Eppler, K.; Tröltzsch, F.
4
1986
Existenz- und Dualitätsaussagen für lineare Optimierungsprobleme in reflexiven Banach-Räumen. Zbl 0325.90035
Tröltzsch, Fredi
4
1975
Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal controls. Zbl 0729.49019
Tröltzsch, F.
4
1991
Source representation strategy for optimal boundary control problems with state constraints. Zbl 1159.49032
Tröltzsch, F.; Yousept, I.
3
2009
Fast optimization methods in the selective cooling of steel. Zbl 1007.49028
Eppler, Karsten; Tröltzsch, Fredi
3
2001
An SQP method for the optimal control of a nonlinear heat equation. Zbl 0826.49025
Tröltzsch, Fredi
3
1994
Lipschitz stability of solutions to parametric optimal control for elliptic equations. Zbl 1006.49021
Malanowski, K.; Tröltzsch, F.
3
2000
On changing the spaces in Lagrange multiplier rules for the optimal control of nonlinear operator equations. Zbl 0589.49018
Tröltzsch, F.
3
1985
Optimal control of some quasilinear Maxwell equations of parabolic type. Zbl 1369.49026
Nicaise, Serge; Tröltzsch, Fredi
3
2017
An interior point method for a parabolic optimal control problem with regularized pointwise state constraints. Zbl 1353.49038
Prüfert, U.; Tröltzsch, F.
3
2007
Optimal time delays in a class of reaction-diffusion equations. Zbl 1407.49025
Casas, E.; Mateos, M.; Tröltzsch, F.
2
2019
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems. Zbl 0790.49025
Tröltzsch, Fredi
2
1993
An SQP method for optimal control of weakly singular Hammerstein integral equations. Zbl 0861.49023
Alt, W.; Sontag, R.; Tröltzsch, F.
2
1996
Dual existence theorems for a special class of linear programming problems in reflexive Banach lattices. Zbl 0381.90066
Tröltzsch, Fredi
2
1977
An inverse problem arising in the steel cooling process. Zbl 0638.35083
Kaiser, Thomas; Tröltzsch, Fredi
2
1987
Dynamical state and control reconstruction for a phase field model. Zbl 1099.35174
Maksimov, V.; Tröltzsch, F.
2
2006
Numerical analysis of state-constrained optimal control problems for PDEs. Zbl 1356.49051
Neitzel, Ira; Tröltzsch, Fredi
2
2012
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
1
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
1
2018
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth. Zbl 07369317
Sprekels, Jürgen; Tröltzsch, Fredi
1
2021
Sparse optimal control for the heat equation with mixed control-state constraints. Zbl 1455.49013
Casas, Eduardo; Tröltzsch, Fredi
1
2020
Optimal time delays in a class of reaction-diffusion equations. Zbl 1407.49025
Casas, E.; Mateos, M.; Tröltzsch, F.
2
2019
Optimal sparse boundary control for a semilinear parabolic equation with mixed control-state constraints. Zbl 1451.49024
Casas, Eduardo; Tröltzsch, Fredi
1
2019
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
1
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
1
2018
Optimal control of a class of reaction-diffusion systems. Zbl 1397.49031
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
1
2018
Optimal control of some quasilinear Maxwell equations of parabolic type. Zbl 1369.49026
Nicaise, Serge; Tröltzsch, Fredi
3
2017
Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems. Zbl 1337.49038
Casas, Eduardo; Tröltzsch, Fredi
10
2016
Optimization of nonlocal time-delayed feedback controllers. Zbl 1343.49056
Nestler, Peter; Schöll, Eckehard; Tröltzsch, Fredi
5
2016
Optimal control of low-frequency electromagnetic fields in multiply connected conductors. Zbl 1345.49027
Tröltzsch, F.; Valli, A.
4
2016
Second order optimality conditions and their role in PDE control. Zbl 1311.49002
Casas, Eduardo; Tröltzsch, Fredi
32
2015
Second order and stability analysis for optimal sparse control of the Fitzhugh-Nagumo equation. Zbl 1326.49032
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
20
2015
Optimal control of magnetic fields in flow measurement. Zbl 1307.49021
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
7
2015
Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121
Gugat, Martin; Tröltzsch, Fredi
7
2015
An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Zbl 1323.49017
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
1
2015
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
11
2014
Second-order and stability analysis for state-constrained elliptic optimal control problems with sparse controls. Zbl 1306.90173
Casas, Eduardo; Tröltzsch, Fredi
10
2014
A coupled Maxwell integrodifferential model for magnetization processes. Zbl 1286.35140
Nicaise, Serge; Tröltzsch, F.
7
2014
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
26
2013
On the optimal control of the Schlögl-model. Zbl 1273.49006
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi
16
2013
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD. Zbl 1282.49021
Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan
11
2013
System modeling and optimization. 25th IFIP TC 7 conference on system modeling and optimization, CSMO 2011, Berlin, Germany, September 12–16, 2011. Revised Selected Papers. Zbl 1262.00009
Hömberg, Dietmar; Tröltzsch, Fredi
1
2013
Erratum to: On the optimal control of the Schlögl-model. Zbl 1273.49007
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi
1
2013
Second order analysis for optimal control problems: improving results expected from abstract theory. Zbl 1259.90162
Casas, Eduardo; Tröltzsch, Fredi
32
2012
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages. Zbl 1288.78040
Tröltzsch, Fredi; Yousept, Irwin
12
2012
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Zbl 1264.49030
Casas, Eduardo; Tröltzsch, Fredi
11
2012
Numerical analysis of state-constrained optimal control problems for PDEs. Zbl 1356.49051
Neitzel, Ira; Tröltzsch, Fredi
2
2012
Optimal control of three-dimensional state-constrained induction heating problems with nonlocal radiation effects. Zbl 1229.49021
Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi; Yousept, Irwin
18
2011
Some aspects of reachability for parabolic boundary control problems with control constraints. Zbl 1245.93016
Dhamo, Vili; Tröltzsch, Fredi
9
2011
On linear-quadratic elliptic control problems of semi-infinite type. Zbl 1225.49008
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
8
2011
Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations. Zbl 1228.49033
Casas, Eduardo; Tröltzsch, Fredi
7
2011
Optimal control of partial differential equations. Theory, methods and applications. Zbl 1195.49001
Tröltzsch, Fredi
285
2010
Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space. Zbl 1191.65076
Merino, Pedro; Tröltzsch, Fredi; Vexler, Boris
15
2010
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
12
2010
Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems. Zbl 1201.49004
Casas, Eduardo; Tröltzsch, Fredi
11
2010
Optimal boundary control of a system of reaction diffusion equations. Zbl 1375.49030
Barthel, Werner; John, Christian; Tröltzsch, Fredi
9
2010
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems. Zbl 1237.49039
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
5
2010
On finite element error estimates for optimal control problems with elliptic PDEs. Zbl 1280.49008
Tröltzsch, Fredi
5
2010
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
40
2009
First- and second-order optimality conditions for a class of optimal control problems with quasilinear elliptic equations. Zbl 1194.49025
Casas, Eduardo; Tröltzsch, Fredi
29
2009
Optimal control of partial differential equations. Theory, methods and applications. 2nd revised ed. (Optimale Steuerung partieller Differentialgleichungen. Theorie, Verfahren und Anwendungen.) Zbl 1320.49001
Tröltzsch, Fredi
19
2009
A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints. Zbl 1153.65343
Tröltzsch, F.; Yousept, I.
18
2009
On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints. Zbl 1171.49017
Neitzel, Ira; Tröltzsch, Fredi
14
2009
Source representation strategy for optimal boundary control problems with state constraints. Zbl 1159.49032
Tröltzsch, F.; Yousept, I.
3
2009
Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Zbl 1182.49002
Kunisch, Karl; Leugering, Günter; Sprekels, Jürgen; Tröltzsch, Fredi
1
2009
Sufficient second-order optimality conditions for semilinear control problems with pointwise state constraints. Zbl 1161.49019
Casas, Eduardo; De Los Reyes, Juan Carlos; Tröltzsch, Fredi
54
2008
The convergence of an interior point method for an elliptic control problem with mixed control-state constraints. Zbl 1144.90511
Prüfert, Uwe; Tröltzsch, Fredi; Weiser, Martin
20
2008
On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints. Zbl 1188.49029
Neitzel, Ira; Tröltzsch, Fredi
14
2008
Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051
Hintermüller, M.; Tröltzsch, F.; Yousept, I.
13
2008
Optimality conditions for state-constrained PDE control problems with time-dependent controls. Zbl 1153.49006
de Los Reyes, J. C.; Merino, P.; Rehberg, J.; Tröltzsch, F.
11
2008
On two numerical methods for state-constrained elliptic control problems. Zbl 1172.49022
Meyer, Christian; Prüfert, U.; Tröltzsch, F.
27
2007
Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints. Zbl 1356.49034
De Los Reyes, J. C.; Tröltzsch, F.
17
2007
On regularity of solutions and Lagrange multipliers of optimal control problems for semilinear equations with mixed pointwise control-state constraints. Zbl 1357.49093
Rösch, A.; Tröltzsch, F.
16
2007
Optimal control of a semilinear PDE with nonlocal radiation interface conditions. Zbl 1109.49026
Meyer, C.; Philip, P.; Tröltzsch, F.
13
2007
Existence of regular Lagrange multipliers for a nonlinear elliptic optimal control problem with pointwise control-state constraints. Zbl 1108.49019
Rösch, A.; Tröltzsch, F.
12
2007
An interior point method for a parabolic optimal control problem with regularized pointwise state constraints. Zbl 1353.49038
Prüfert, U.; Tröltzsch, F.
3
2007
Optimal control of PDEs with regularized pointwise state constraints. Zbl 1103.90072
Meyer, Christian; Rösch, Arnd; Tröltzsch, Fredi
48
2006
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
31
2006
Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. Zbl 1119.49022
Rösch, A.; Tröltzsch, F.
13
2006
On an elliptic optimal control problem with pointwise mixed control-state constraints. Zbl 1194.49027
Meyer, Christian; Tröltzsch, Fredi
8
2006
Dynamical state and control reconstruction for a phase field model. Zbl 1099.35174
Maksimov, V.; Tröltzsch, F.
2
2006
Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Zbl 1081.49023
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
47
2005
Optimal control of partial differential equations. Theory, procedures, and applications. (Optimale Steuerung partieller Differentialgleichungen. Theorie, Verfahren und Anwendungen.) Zbl 1142.49001
Tröltzsch, Fredi
43
2005
Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints. Zbl 1083.49018
Tröltzsch, Fredi
21
2005
On convergence of a receding horizon method for parabolic boundary control. Zbl 1062.49025
Tröltzsch, Fredi; Wachsmuth, Daniel
1
2004
One inverse problem for phase field equation. Zbl 1282.93086
Maksimov, V. I.; Tröltzsch, F.
1
2004
Error estimates for linear-quadratic elliptic control problems. Zbl 1027.65088
Casas, Eduardo; Tröltzsch, Fredi
19
2003
Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints. Zbl 1038.49028
Rösch, A.; Tröltzsch, F.
14
2003
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equestions. Zbl 1127.49021
Roubíček, Tomaš; Tröltzsch, Fredi
8
2003
Necessary and sufficient optimality conditions for optimization problems in function spaces and applications to control theory. Zbl 1034.49020
Casas, E.; Mateos, Mariano; Tröltzsch, Fredi
4
2003
Error estimates for the numerical approximation of a semilinear elliptic control problem. Zbl 1033.65044
Arada, Nadir; Casas, Eduardo; Tröltzsch, Fredi
118
2002
Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory. Zbl 1052.49022
Casas, Eduardo; Tröltzsch, Fredi
33
2002
Error estimates for the finite-element approximation of a semilinear elliptic control problem. Zbl 1126.49315
Casas, Eduardo; Tröltzsch, Fredi
28
2002
On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces. Zbl 1039.90094
Arada, Nadir; Raymond, Jean-Pierre; Tröltzsch, Fredi
5
2002
Sufficient second order optimality conditions for a state-constrained optimal control problem of a weakly singular integral equation. Zbl 1039.49027
Rösch, Arnd; Tröltzsch, Fredi
1
2002
Fast solution of optimal control problems in the selective cooling of steel. Zbl 0993.49024
Unger, A.; Tröltzsch, F.
16
2001
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
13
2001
Fast optimization methods in the selective cooling of steel. Zbl 1007.49028
Eppler, Karsten; Tröltzsch, Fredi
3
2001
Discrete and continuous optimal control strategies in the selective cooling of steel. Zbl 0984.80014
Eppler, K.; Tröltzsch, F.
1
2001
Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints. Zbl 1010.49015
Raymond, J.-P.; Tröltzsch, F.
33
2000
Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations. Zbl 0962.49016
Casas, Eduardo; Tröltzsch, Fredi; Unger, Andreas
30
2000
Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations. Zbl 0954.49017
Tröltzsch, Fredi
7
2000
Lipschitz stability of solutions to parametric optimal control for elliptic equations. Zbl 1006.49021
Malanowski, K.; Tröltzsch, F.
3
2000
Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations. Zbl 0921.49013
Casas, E.; Tröltzsch, F.
25
1999
Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023
Heinkenschloss, Matthias; Tröltzsch, Fredi
12
1999
On the Lagrange–Newton–SQP method for the optimal control of semilinear parabolic equations. Zbl 0954.49018
Tröltzsch, Fredi
10
1999
Lipschitz stability of solutions to parametric optimal control problems for parabolic equations. Zbl 0963.49019
Malanowski, K.; Tröltzsch, F.
7
1999
Optimal control of semilinear parabolic equations with state-constraints of bottleneck type. Zbl 0929.49001
Bergounioux, Maïtine; Tröltzsch, Fredi
7
1999
Optimal control of partial differential equations. Proceedings of the IFIP WG 7. 2 international conference, Chemnitz, Germany, April 20–25, 1998. Zbl 0921.00021
Hoffmann, K.-H.; Leugering, G.; Tröltzsch, F.
1
1999
On a Lagrange-Newton method for a nonlinear parabolic boundary control problem. Zbl 0909.49016
Goldberg, H.; Tröltzsch, F.
6
1998
Optimal control of linear bottleneck problems. Zbl 0904.49020
Bergounioux, M.; Troeltzsch, F.
4
1998
On a SQP-multigrid technique for nonlinear parabolic boundary control problems. Zbl 0908.49025
Goldberg, Helmuth; Tröltzsch, Fredi
1
1998
Error estimates for the discretization of state constrained convex control problems. Zbl 0899.49013
Tiba, D.; Tröltzsch, F.
29
1996
Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem. Zbl 0879.49020
Casas, E.; Tröltzsch, F.; Unger, A.
17
1996
Optimality conditions and generalized bang-bang principle for a state-constrained semilinear parabolic problem. Zbl 0858.49021
Bergounioux, M.; Tröltzsch, F.
9
1996
An SQP method for optimal control of weakly singular Hammerstein integral equations. Zbl 0861.49023
Alt, W.; Sontag, R.; Tröltzsch, F.
2
1996
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems – strong convergence of optimal controls. Zbl 0802.49017
Tröltzsch, Fredi
21
1994
An SQP method for the optimal control of a nonlinear heat equation. Zbl 0826.49025
Tröltzsch, Fredi
3
1994
Second-order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems. Zbl 0787.49011
Goldberg, H.; Tröltzsch, F.
15
1993
...and 20 more Documents
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Cited by 1,028 Authors

61 Tröltzsch, Fredi
41 Casas, Eduardo
35 Chen, Yanping
30 Rösch, Arnd
28 Kunisch, Karl
25 Wachsmuth, Daniel
18 Lu, Zuliang
18 Vexler, Boris
18 Volkwein, Stefan
17 Hinze, Michael
16 Neitzel, Ira
15 Mateos, Mariano
13 Meyer, Christian
13 Yousept, Irwin
12 Borzì, Alfio
12 Herzog, Roland
12 Hintermüller, Michael
11 Sprekels, Jürgen
11 Wachsmuth, Gerd
10 Chrysafinos, Konstantinos
10 Clason, Christian
10 Huang, Yunqing
10 Liu, Steve Wenbin
9 Karasözen, Bülent
9 Schiela, Anton
9 Wollner, Winnifried
9 Yan, Ningning
8 Antil, Harbir
8 Benner, Peter
8 De los Reyes, Juan Carlos
8 Garcke, Harald
8 Hou, Tianliang
8 Maksimov, Vyacheslav Ivanovich
8 Nhu, Vu Huu
8 Otárola, Enrique
8 Prüfert, Uwe
8 Sama, Miguel
8 Stoll, Martin
7 Breiten, Tobias
7 Hömberg, Dietmar
7 Kien, Bui Trong
7 Rehberg, Joachim
7 Shen, Wanfang
7 Tang, Yuelong
6 Alt, Walter
6 Apel, Thomas
6 Bergounioux, Maïtine
6 Bonnans, Joseph Frédéric
6 Herty, Michael Matthias
6 Lapin, Aleksandr Vasil’evich
6 Meidner, Dominik
6 Nataraj, Neela
6 Nicaise, Serge
6 Pearson, John W.
6 Signori, Andrea
6 Yücel, Hamdullah
5 Aronna, María Soledad
5 Colli, Pierluigi
5 Cung The Anh
5 Ge, Liang
5 Gudi, Thirupathi
5 Hernández, Erwin
5 Just, Andrzej
5 Kröner, Axel
5 Kumar, Sarvesh
5 Mehlitz, Patrick
5 Merino, Pedro
5 Nguyet, Tran Minh
5 Pfefferer, Johannes
5 Pfeiffer, Laurent
5 Rocca, Elisabetta
5 Sandilya, Ruchi
5 Stempień, Zdzisław
5 Tarzia, Domingo Alberto
5 Ulbrich, Michael
5 Weiser, Martin
5 Yilmaz, Fikriye Nuray
5 Zuazua, Enrique
4 Allendes, Alejandro
4 Dhamo, Vili
4 Đinh Nho Hào
4 Druet, Pierre-Étienne
4 Gong, Wei
4 Grepl, Martin A.
4 Grossmann, Christian
4 Gugat, Martin
4 Jadamba, Baasansuren
4 Kahle, Christian
4 Kaltenbacher, Barbara
4 Khan, Akhtar Ali
4 Kouri, Drew P.
4 Krumbiegel, Klaus
4 Lam, Kei Fong
4 Langer, Ulrich
4 Lesnic, Daniel
4 Lin, Xiuxiu
4 Liu, Hanbing
4 Liu, Jun
4 Luan, Shu
4 Mallea-Zepeda, Exequiel
...and 928 more Authors
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Cited in 171 Serials

78 Computational Optimization and Applications
47 SIAM Journal on Control and Optimization
40 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
32 Numerical Functional Analysis and Optimization
30 Journal of Computational and Applied Mathematics
28 Computers & Mathematics with Applications
26 Journal of Optimization Theory and Applications
25 Journal of Mathematical Analysis and Applications
23 Numerische Mathematik
22 Applied Mathematics and Optimization
22 Journal of Scientific Computing
20 Optimization
16 Applied Mathematics and Computation
15 Mathematical Control and Related Fields
14 Applied Numerical Mathematics
14 Optimization Methods & Software
10 Computer Methods in Applied Mechanics and Engineering
10 Journal of Computational Physics
10 Optimal Control Applications & Methods
10 Zeitschrift für Analysis und ihre Anwendungen
9 Advances in Computational Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Inverse Problems
8 Automatica
8 Numerical Algorithms
8 Mathematical Programming. Series A. Series B
8 SIAM Journal on Scientific Computing
8 Nonlinear Analysis. Real World Applications
8 Set-Valued and Variational Analysis
7 Applicable Analysis
7 Journal of Differential Equations
7 Systems & Control Letters
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Discrete and Continuous Dynamical Systems
7 Vietnam Journal of Mathematics
7 Journal of Dynamical and Control Systems
7 Lobachevskii Journal of Mathematics
7 Evolution Equations and Control Theory
6 SIAM Journal on Numerical Analysis
6 Computational Methods in Applied Mathematics
6 Boundary Value Problems
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 SIAM Journal on Optimization
5 Russian Mathematics
4 Calcolo
4 Journal of Global Optimization
4 Journal of Inequalities and Applications
4 Journal of Numerical Mathematics
4 Optimization Letters
4 Discrete and Continuous Dynamical Systems. Series S
4 Science China. Mathematics
3 Computers and Fluids
3 Mathematical Notes
3 Mathematics of Computation
3 Acta Applicandae Mathematicae
3 Computational Mechanics
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematics Letters
3 Journal of Mathematical Imaging and Vision
3 Calculus of Variations and Partial Differential Equations
3 Computational and Applied Mathematics
3 Journal of Inverse and Ill-Posed Problems
3 ETNA. Electronic Transactions on Numerical Analysis
3 Abstract and Applied Analysis
3 Mathematical and Computer Modelling of Dynamical Systems
3 Differential Equations
3 Journal of Systems Science and Complexity
3 GAMM-Mitteilungen
3 Frontiers of Mathematics in China
3 Advances in Applied Mathematics and Mechanics
3 East Asian Journal on Applied Mathematics
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computer Physics Communications
2 International Journal of Control
2 Journal of Fluid Mechanics
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Journal of Functional Analysis
2 Results in Mathematics
2 Bulletin of the Iranian Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Computational Mathematics and Modeling
2 Applications of Mathematics
2 Numerical Linear Algebra with Applications
2 European Journal of Control
2 Computing and Visualization in Science
2 Positivity
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Journal of Mathematical Fluid Mechanics
2 Communications in Contemporary Mathematics
2 The ANZIAM Journal
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Milan Journal of Mathematics
2 Journal of Industrial and Management Optimization
2 SIAM Journal on Imaging Sciences
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Applied Analysis and Computation
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Cited in 36 Fields

713 Calculus of variations and optimal control; optimization (49-XX)
424 Partial differential equations (35-XX)
410 Numerical analysis (65-XX)
116 Operations research, mathematical programming (90-XX)
109 Systems theory; control (93-XX)
75 Fluid mechanics (76-XX)
46 Biology and other natural sciences (92-XX)
40 Mechanics of deformable solids (74-XX)
25 Optics, electromagnetic theory (78-XX)
23 Operator theory (47-XX)
17 Probability theory and stochastic processes (60-XX)
17 Classical thermodynamics, heat transfer (80-XX)
11 Ordinary differential equations (34-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Integral equations (45-XX)
9 Computer science (68-XX)
8 Functional analysis (46-XX)
8 Global analysis, analysis on manifolds (58-XX)
5 Information and communication theory, circuits (94-XX)
4 Statistics (62-XX)
3 Approximations and expansions (41-XX)
2 Combinatorics (05-XX)
2 Real functions (26-XX)
2 Quantum theory (81-XX)
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1 General and overarching topics; collections (00-XX)
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1 Difference and functional equations (39-XX)
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1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)

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