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## Tröltzsch, Fredi

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 Author ID: troltzsch.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
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#### Co-Authors

 35 single-authored 31 Casas, Eduardo 8 Rösch, Arnd 8 Sprekels, Jürgen 7 Neitzel, Ira 6 Goldberg, Helmuth 6 Leugering, Günter 6 Mateos, Mariano 5 Malanowski, Kazimierz D. 5 Merino, Pedro 5 Unger, Andreas 5 Yousept, Irwin 4 Bergounioux, Maïtine 4 De los Reyes, Juan Carlos 4 Eppler, Karsten 4 Kunisch, Karl 4 Meyer, Christian 4 Nicaise, Serge 4 Wachsmuth, Daniel 3 Kammann, Eileen 3 Maksimov, Vyacheslav Ivanovich 3 Prüfert, Uwe 3 Ryll, Christopher 3 Volkwein, Stefan 2 Arada, Nadir 2 Buchholz, Rico 2 Engel, Harald 2 Gugat, Martin 2 Hoffmann, Karl-Heinz 2 Ioffe, Alexander Davidovich 2 Klein, Olaf 2 Langer, Ulrich 2 Nestler, Peter 2 Raymond, Jean-Pierre 2 Steinbach, Olaf 2 Stingelin, Simon 2 Valli, Alberto 2 Yang, Huidong 1 Alt, Walter 1 Aronna, María Soledad 1 Barthel, Werner 1 Dhamo, Vili 1 Druet, Pierre-Étienne 1 Epperlein, Joachim 1 Ester, Jochen 1 Fernández, Luis Alberto 1 Hanke, Marko 1 Heinkenschloss, Matthias 1 Hintermüller, Michael 1 Hinze, Michael 1 Hömberg, Dietmar 1 Jentsch, Lothar 1 John, Christian 1 Krengel, Rolf 1 Lasiecka, Irena 1 Lezius, R. 1 Myśliński, Andrzej 1 Philip, Peter 1 Pola, Cecilia 1 Rehberg, Joachim 1 Römisch, Werner 1 Roubíček, Tomáš 1 Schlömer, Nico 1 Schöll, Eckehard 1 Sontag, R. 1 Tiba, Dan 1 Vexler, Boris 1 Wegert, Elias 1 Wehage, H. 1 Weiser, Martin 1 Zuazua, Enrique
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#### 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
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#### Fields

 140 Calculus of variations and optimal control; optimization (49-XX) 89 Partial differential equations (35-XX) 47 Operations research, mathematical programming (90-XX) 32 Numerical analysis (65-XX) 28 Systems theory; control (93-XX) 13 General and overarching topics; collections (00-XX) 10 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Optics, electromagnetic theory (78-XX) 5 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 1 History and biography (01-XX) 1 Biology and other natural sciences (92-XX)

#### 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
2010
Error estimates for the numerical approximation of a semilinear elliptic control problem. Zbl 1033.65044
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
2008
Optimal control of PDEs with regularized pointwise state constraints. Zbl 1103.90072
Meyer, Christian; Rösch, Arnd; Tröltzsch, Fredi
2006
Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Zbl 1081.49023
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
2005
Optimal control of partial differential equations. Theory, procedures, and applications. (Optimale Steuerung partieller Differentialgleichungen. Theorie, Verfahren und Anwendungen.) Zbl 1142.49001
Tröltzsch, Fredi
2005
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
2009
Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints. Zbl 1010.49015
Raymond, J.-P.; Tröltzsch, F.
2000
Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory. Zbl 1052.49022
Casas, Eduardo; Tröltzsch, Fredi
2002
Second order analysis for optimal control problems: improving results expected from abstract theory. Zbl 1259.90162
Casas, Eduardo; Tröltzsch, Fredi
2012
Second order optimality conditions and their role in PDE control. Zbl 1311.49002
Casas, Eduardo; Tröltzsch, Fredi
2015
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
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
2000
Error estimates for the discretization of state constrained convex control problems. Zbl 0899.49013
Tiba, D.; Tröltzsch, F.
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
2009
Error estimates for the finite-element approximation of a semilinear elliptic control problem. Zbl 1126.49315
Casas, Eduardo; Tröltzsch, Fredi
2002
On two numerical methods for state-constrained elliptic control problems. Zbl 1172.49022
Meyer, Christian; Prüfert, U.; Tröltzsch, F.
2007
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
2013
On Nemytskij operators in $$L_ p$$-spaces of abstract functions. Zbl 0760.47031
Goldberg, H.; Kampowsky, W.; Tröltzsch, F.
1992
Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations. Zbl 0921.49013
Casas, E.; Tröltzsch, F.
1999
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems – strong convergence of optimal controls. Zbl 0802.49017
Tröltzsch, Fredi
1994
Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints. Zbl 1083.49018
Tröltzsch, Fredi
2005
Second order and stability analysis for optimal sparse control of the Fitzhugh-Nagumo equation. Zbl 1326.49032
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
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
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
2009
Error estimates for linear-quadratic elliptic control problems. Zbl 1027.65088
Casas, Eduardo; Tröltzsch, Fredi
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
2011
A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints. Zbl 1153.65343
Tröltzsch, F.; Yousept, I.
2009
Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem. Zbl 0879.49020
Casas, E.; Tröltzsch, F.; Unger, A.
1996
Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints. Zbl 1356.49034
De Los Reyes, J. C.; Tröltzsch, F.
2007
On the optimal control of the Schlögl-model. Zbl 1273.49006
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi
2013
Fast solution of optimal control problems in the selective cooling of steel. Zbl 0993.49024
Unger, A.; Tröltzsch, F.
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.
2007
Second-order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems. Zbl 0787.49011
Goldberg, H.; Tröltzsch, F.
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
2010
On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints. Zbl 1171.49017
Neitzel, Ira; Tröltzsch, Fredi
2009
On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints. Zbl 1188.49029
Neitzel, Ira; Tröltzsch, Fredi
2008
Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints. Zbl 1038.49028
Rösch, A.; Tröltzsch, F.
2003
Optimal control of a semilinear PDE with nonlocal radiation interface conditions. Zbl 1109.49026
Meyer, C.; Philip, P.; Tröltzsch, F.
2007
Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. Zbl 1119.49022
Rösch, A.; Tröltzsch, F.
2006
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
2001
Optimality conditions for parabolic control problems and applications. Zbl 0587.49021
Tröltzsch, Fredi
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.
2008
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages. Zbl 1288.78040
Tröltzsch, Fredi; Yousept, Irwin
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.
2007
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
2010
Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023
Heinkenschloss, Matthias; Tröltzsch, Fredi
1999
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Zbl 1264.49030
Casas, Eduardo; Tröltzsch, Fredi
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
2013
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
2014
Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems. Zbl 1201.49004
Casas, Eduardo; Tröltzsch, Fredi
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.
2008
Second-order and stability analysis for state-constrained elliptic optimal control problems with sparse controls. Zbl 1306.90173
Casas, Eduardo; Tröltzsch, Fredi
2014
Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems. Zbl 1337.49038
Casas, Eduardo; Tröltzsch, Fredi
2016
On the Lagrange–Newton–SQP method for the optimal control of semilinear parabolic equations. Zbl 0954.49018
Tröltzsch, Fredi
1999
Optimality conditions and generalized bang-bang principle for a state-constrained semilinear parabolic problem. Zbl 0858.49021
Bergounioux, M.; Tröltzsch, F.
1996
Some aspects of reachability for parabolic boundary control problems with control constraints. Zbl 1245.93016
Dhamo, Vili; Tröltzsch, Fredi
2011
Optimal boundary control of a system of reaction diffusion equations. Zbl 1375.49030
Barthel, Werner; John, Christian; Tröltzsch, Fredi
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.
1979
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equestions. Zbl 1127.49021
Roubíček, Tomaš; Tröltzsch, Fredi
2003
On an elliptic optimal control problem with pointwise mixed control-state constraints. Zbl 1194.49027
Meyer, Christian; Tröltzsch, Fredi
2006
On linear-quadratic elliptic control problems of semi-infinite type. Zbl 1225.49008
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
2011
Optimal control of magnetic fields in flow measurement. Zbl 1307.49021
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
2015
Lipschitz stability of solutions to parametric optimal control problems for parabolic equations. Zbl 0963.49019
Malanowski, K.; Tröltzsch, F.
1999
Optimal control of semilinear parabolic equations with state-constraints of bottleneck type. Zbl 0929.49001
Bergounioux, Maïtine; Tröltzsch, Fredi
1999
Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations. Zbl 1228.49033
Casas, Eduardo; Tröltzsch, Fredi
2011
A coupled Maxwell integrodifferential model for magnetization processes. Zbl 1286.35140
Nicaise, Serge; Tröltzsch, F.
2014
Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121
Gugat, Martin; Tröltzsch, Fredi
2015
An optimal control problem arising from the identification of nonlinear heat transfer laws. Zbl 0784.49016
Rösch, Arnd; Tröltzsch, Fredi
1992
Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations. Zbl 0954.49017
Tröltzsch, Fredi
2000
On a Lagrange-Newton method for a nonlinear parabolic boundary control problem. Zbl 0909.49016
Goldberg, H.; Tröltzsch, F.
1998
On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces. Zbl 1039.90094
2002
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems. Zbl 1237.49039
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
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.
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.
1992
On finite element error estimates for optimal control problems with elliptic PDEs. Zbl 1280.49008
Tröltzsch, Fredi
2010
Optimization of nonlocal time-delayed feedback controllers. Zbl 1343.49056
Nestler, Peter; Schöll, Eckehard; Tröltzsch, Fredi
2016
Optimal control of linear bottleneck problems. Zbl 0904.49020
Bergounioux, M.; Troeltzsch, F.
1998
Optimal control of low-frequency electromagnetic fields in multiply connected conductors. Zbl 1345.49027
Tröltzsch, F.; Valli, A.
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.
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
2003
On switching points of optimal controls for coercive parabolic boundary control problems. Zbl 0596.49005
Eppler, K.; Tröltzsch, F.
1986
Existenz- und Dualitätsaussagen für lineare Optimierungsprobleme in reflexiven Banach-Räumen. Zbl 0325.90035
Tröltzsch, Fredi
1975
Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal controls. Zbl 0729.49019
Tröltzsch, F.
1991
Source representation strategy for optimal boundary control problems with state constraints. Zbl 1159.49032
Tröltzsch, F.; Yousept, I.
2009
Fast optimization methods in the selective cooling of steel. Zbl 1007.49028
Eppler, Karsten; Tröltzsch, Fredi
2001
An SQP method for the optimal control of a nonlinear heat equation. Zbl 0826.49025
Tröltzsch, Fredi
1994
Lipschitz stability of solutions to parametric optimal control for elliptic equations. Zbl 1006.49021
Malanowski, K.; Tröltzsch, F.
2000
On changing the spaces in Lagrange multiplier rules for the optimal control of nonlinear operator equations. Zbl 0589.49018
Tröltzsch, F.
1985
Optimal control of some quasilinear Maxwell equations of parabolic type. Zbl 1369.49026
Nicaise, Serge; Tröltzsch, Fredi
2017
An interior point method for a parabolic optimal control problem with regularized pointwise state constraints. Zbl 1353.49038
Prüfert, U.; Tröltzsch, F.
2007
Optimal time delays in a class of reaction-diffusion equations. Zbl 1407.49025
Casas, E.; Mateos, M.; Tröltzsch, F.
2019
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems. Zbl 0790.49025
Tröltzsch, Fredi
1993
An SQP method for optimal control of weakly singular Hammerstein integral equations. Zbl 0861.49023
Alt, W.; Sontag, R.; Tröltzsch, F.
1996
Dual existence theorems for a special class of linear programming problems in reflexive Banach lattices. Zbl 0381.90066
Tröltzsch, Fredi
1977
An inverse problem arising in the steel cooling process. Zbl 0638.35083
Kaiser, Thomas; Tröltzsch, Fredi
1987
Dynamical state and control reconstruction for a phase field model. Zbl 1099.35174
Maksimov, V.; Tröltzsch, F.
2006
Numerical analysis of state-constrained optimal control problems for PDEs. Zbl 1356.49051
Neitzel, Ira; Tröltzsch, Fredi
2012
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
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
2021
Sparse optimal control for the heat equation with mixed control-state constraints. Zbl 1455.49013
Casas, Eduardo; Tröltzsch, Fredi
2020
Optimal time delays in a class of reaction-diffusion equations. Zbl 1407.49025
Casas, E.; Mateos, M.; Tröltzsch, F.
2019
Optimal sparse boundary control for a semilinear parabolic equation with mixed control-state constraints. Zbl 1451.49024
Casas, Eduardo; Tröltzsch, Fredi
2019
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
2018
Optimal control of a class of reaction-diffusion systems. Zbl 1397.49031
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
2018
Optimal control of some quasilinear Maxwell equations of parabolic type. Zbl 1369.49026
Nicaise, Serge; Tröltzsch, Fredi
2017
Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems. Zbl 1337.49038
Casas, Eduardo; Tröltzsch, Fredi
2016
Optimization of nonlocal time-delayed feedback controllers. Zbl 1343.49056
Nestler, Peter; Schöll, Eckehard; Tröltzsch, Fredi
2016
Optimal control of low-frequency electromagnetic fields in multiply connected conductors. Zbl 1345.49027
Tröltzsch, F.; Valli, A.
2016
Second order optimality conditions and their role in PDE control. Zbl 1311.49002
Casas, Eduardo; Tröltzsch, Fredi
2015
Second order and stability analysis for optimal sparse control of the Fitzhugh-Nagumo equation. Zbl 1326.49032
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
2015
Optimal control of magnetic fields in flow measurement. Zbl 1307.49021
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
2015
Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121
Gugat, Martin; Tröltzsch, Fredi
2015
An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Zbl 1323.49017
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
2015
On two optimal control problems for magnetic fields. Zbl 1315.35226
Nicaise, Serge; Stingelin, Simon; Tröltzsch, Fredi
2014
Second-order and stability analysis for state-constrained elliptic optimal control problems with sparse controls. Zbl 1306.90173
Casas, Eduardo; Tröltzsch, Fredi
2014
A coupled Maxwell integrodifferential model for magnetization processes. Zbl 1286.35140
Nicaise, Serge; Tröltzsch, F.
2014
Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems. Zbl 1393.49019
Casas, Eduardo; Ryll, Christopher; Tröltzsch, Fredi
2013
On the optimal control of the Schlögl-model. Zbl 1273.49006
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi
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
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
2013
Erratum to: On the optimal control of the Schlögl-model. Zbl 1273.49007
Buchholz, Rico; Engel, Harald; Kammann, Eileen; Tröltzsch, Fredi
2013
Second order analysis for optimal control problems: improving results expected from abstract theory. Zbl 1259.90162
Casas, Eduardo; Tröltzsch, Fredi
2012
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages. Zbl 1288.78040
Tröltzsch, Fredi; Yousept, Irwin
2012
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Zbl 1264.49030
Casas, Eduardo; Tröltzsch, Fredi
2012
Numerical analysis of state-constrained optimal control problems for PDEs. Zbl 1356.49051
Neitzel, Ira; Tröltzsch, Fredi
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
2011
Some aspects of reachability for parabolic boundary control problems with control constraints. Zbl 1245.93016
Dhamo, Vili; Tröltzsch, Fredi
2011
On linear-quadratic elliptic control problems of semi-infinite type. Zbl 1225.49008
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
2011
Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations. Zbl 1228.49033
Casas, Eduardo; Tröltzsch, Fredi
2011
Optimal control of partial differential equations. Theory, methods and applications. Zbl 1195.49001
Tröltzsch, Fredi
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
2010
Discrete concepts versus error analysis in PDE-constrained optimization. Zbl 1207.49005
Hinze, Michael; Tröltzsch, Fredi
2010
Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems. Zbl 1201.49004
Casas, Eduardo; Tröltzsch, Fredi
2010
Optimal boundary control of a system of reaction diffusion equations. Zbl 1375.49030
Barthel, Werner; John, Christian; Tröltzsch, Fredi
2010
Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems. Zbl 1237.49039
Merino, Pedro; Neitzel, Ira; Tröltzsch, Fredi
2010
On finite element error estimates for optimal control problems with elliptic PDEs. Zbl 1280.49008
Tröltzsch, Fredi
2010
POD a-posteriori error estimates for linear-quadratic optimal control problems. Zbl 1189.49050
Tröltzsch, F.; Volkwein, S.
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
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
2009
A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints. Zbl 1153.65343
Tröltzsch, F.; Yousept, I.
2009
On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints. Zbl 1171.49017
Neitzel, Ira; Tröltzsch, Fredi
2009
Source representation strategy for optimal boundary control problems with state constraints. Zbl 1159.49032
Tröltzsch, F.; Yousept, I.
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
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
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
2008
On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints. Zbl 1188.49029
Neitzel, Ira; Tröltzsch, Fredi
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.
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.
2008
On two numerical methods for state-constrained elliptic control problems. Zbl 1172.49022
Meyer, Christian; Prüfert, U.; Tröltzsch, F.
2007
Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints. Zbl 1356.49034
De Los Reyes, J. C.; Tröltzsch, F.
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.
2007
Optimal control of a semilinear PDE with nonlocal radiation interface conditions. Zbl 1109.49026
Meyer, C.; Philip, P.; Tröltzsch, F.
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.
2007
An interior point method for a parabolic optimal control problem with regularized pointwise state constraints. Zbl 1353.49038
Prüfert, U.; Tröltzsch, F.
2007
Optimal control of PDEs with regularized pointwise state constraints. Zbl 1103.90072
Meyer, Christian; Rösch, Arnd; Tröltzsch, Fredi
2006
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Zbl 1111.49017
Tröltzsch, Fredi; Wachsmuth, Daniel
2006
Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. Zbl 1119.49022
Rösch, A.; Tröltzsch, F.
2006
On an elliptic optimal control problem with pointwise mixed control-state constraints. Zbl 1194.49027
Meyer, Christian; Tröltzsch, Fredi
2006
Dynamical state and control reconstruction for a phase field model. Zbl 1099.35174
Maksimov, V.; Tröltzsch, F.
2006
Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Zbl 1081.49023
Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi
2005
Optimal control of partial differential equations. Theory, procedures, and applications. (Optimale Steuerung partieller Differentialgleichungen. Theorie, Verfahren und Anwendungen.) Zbl 1142.49001
Tröltzsch, Fredi
2005
Regular Lagrange multipliers for control problems with mixed pointwise control-state constraints. Zbl 1083.49018
Tröltzsch, Fredi
2005
On convergence of a receding horizon method for parabolic boundary control. Zbl 1062.49025
Tröltzsch, Fredi; Wachsmuth, Daniel
2004
One inverse problem for phase field equation. Zbl 1282.93086
Maksimov, V. I.; Tröltzsch, F.
2004
Error estimates for linear-quadratic elliptic control problems. Zbl 1027.65088
Casas, Eduardo; Tröltzsch, Fredi
2003
Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints. Zbl 1038.49028
Rösch, A.; Tröltzsch, F.
2003
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equestions. Zbl 1127.49021
Roubíček, Tomaš; Tröltzsch, Fredi
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
2003
Error estimates for the numerical approximation of a semilinear elliptic control problem. Zbl 1033.65044
2002
Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory. Zbl 1052.49022
Casas, Eduardo; Tröltzsch, Fredi
2002
Error estimates for the finite-element approximation of a semilinear elliptic control problem. Zbl 1126.49315
Casas, Eduardo; Tröltzsch, Fredi
2002
On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces. Zbl 1039.90094
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
2002
Fast solution of optimal control problems in the selective cooling of steel. Zbl 0993.49024
Unger, A.; Tröltzsch, F.
2001
The SQP method for control constrained optimal control of the Burgers equation. Zbl 1001.49035
Tröltzsch, Fredi; Volkwein, Stefan
2001
Fast optimization methods in the selective cooling of steel. Zbl 1007.49028
Eppler, Karsten; Tröltzsch, Fredi
2001
Discrete and continuous optimal control strategies in the selective cooling of steel. Zbl 0984.80014
Eppler, K.; Tröltzsch, F.
2001
Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints. Zbl 1010.49015
Raymond, J.-P.; Tröltzsch, F.
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
2000
Lipschitz stability of solutions of linear-quadratic parabolic control problems with respect to perturbations. Zbl 0954.49017
Tröltzsch, Fredi
2000
Lipschitz stability of solutions to parametric optimal control for elliptic equations. Zbl 1006.49021
Malanowski, K.; Tröltzsch, F.
2000
Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations. Zbl 0921.49013
Casas, E.; Tröltzsch, F.
1999
Analysis of the Langrange-SQP-Newton method for the control of a phase field equation. Zbl 0992.49023
Heinkenschloss, Matthias; Tröltzsch, Fredi
1999
On the Lagrange–Newton–SQP method for the optimal control of semilinear parabolic equations. Zbl 0954.49018
Tröltzsch, Fredi
1999
Lipschitz stability of solutions to parametric optimal control problems for parabolic equations. Zbl 0963.49019
Malanowski, K.; Tröltzsch, F.
1999
Optimal control of semilinear parabolic equations with state-constraints of bottleneck type. Zbl 0929.49001
Bergounioux, Maïtine; Tröltzsch, Fredi
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.
1999
On a Lagrange-Newton method for a nonlinear parabolic boundary control problem. Zbl 0909.49016
Goldberg, H.; Tröltzsch, F.
1998
Optimal control of linear bottleneck problems. Zbl 0904.49020
Bergounioux, M.; Troeltzsch, F.
1998
On a SQP-multigrid technique for nonlinear parabolic boundary control problems. Zbl 0908.49025
Goldberg, Helmuth; Tröltzsch, Fredi
1998
Error estimates for the discretization of state constrained convex control problems. Zbl 0899.49013
Tiba, D.; Tröltzsch, F.
1996
Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem. Zbl 0879.49020
Casas, E.; Tröltzsch, F.; Unger, A.
1996
Optimality conditions and generalized bang-bang principle for a state-constrained semilinear parabolic problem. Zbl 0858.49021
Bergounioux, M.; Tröltzsch, F.
1996
An SQP method for optimal control of weakly singular Hammerstein integral equations. Zbl 0861.49023
Alt, W.; Sontag, R.; Tröltzsch, F.
1996
Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems – strong convergence of optimal controls. Zbl 0802.49017
Tröltzsch, Fredi
1994
An SQP method for the optimal control of a nonlinear heat equation. Zbl 0826.49025
Tröltzsch, Fredi
1994
Second-order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems. Zbl 0787.49011
Goldberg, H.; Tröltzsch, F.
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 ...and 71 more Serials
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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) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)