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Books and Theses
- 1982
[b1]Fredi Tröltzsch:
Notwendige Optimalitätsbedingungen und verallgemeinerte Bang-Bang-Prinzipien für nichtlineare Steuerprobleme bei parabolischen Differentialgleichungen mit Steuer- und Zustandsbeschränkungen. Freiberg University of Mining and Technology, Saxony, Germany, 1982
Journal Articles
- 2021
- [j46]Ulrich Langer
, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization. SIAM J. Numer. Anal. 59(2): 675-695 (2021) - [j45]Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations. SIAM J. Sci. Comput. 43(2): A744-A771 (2021) - 2020
- [j44]Vyacheslav Maksimov, Fredi Tröltzsch:
Input Reconstruction by Feedback Control for the Schlögl and FitzHugh-Nagumo Equations. Int. J. Appl. Math. Comput. Sci. 30(1): 5-22 (2020) - [j43]Eduardo Casas, Fredi Tröltzsch:
On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation. SIAM J. Control. Optim. 58(4): 1961-1983 (2020) - 2018
- [j42]Eduardo Casas, Christopher Ryll, Fredi Tröltzsch:
Optimal control of a class of reaction-diffusion systems. Comput. Optim. Appl. 70(3): 677-707 (2018) - [j41]Eduardo Casas, Mariano Mateos, Fredi Tröltzsch:
Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay. SIAM J. Control. Optim. 56(6): 4434-4460 (2018) - 2016
- [j40]Peter Nestler, Eckehard Schöll, Fredi Tröltzsch:
Optimization of nonlocal time-delayed feedback controllers. Comput. Optim. Appl. 64(1): 265-294 (2016) - 2015
- [j39]Martin Gugat, Fredi Tröltzsch:
Boundary feedback stabilization of the Schlögl system. Autom. 51: 192-199 (2015) - [j38]Pedro Merino, Ira Neitzel, Fredi Tröltzsch:
An adaptive numerical method for semi-infinite elliptic control problems based on error estimates. Optim. Methods Softw. 30(3): 492-515 (2015) - [j37]Eduardo Casas, Christopher Ryll, Fredi Tröltzsch:
Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh-Nagumo Equation. SIAM J. Control. Optim. 53(4): 2168-2202 (2015) - 2014
- [j36]Serge Nicaise, Simon Stingelin, Fredi Tröltzsch:
On Two Optimal Control Problems for Magnetic Fields. Comput. Methods Appl. Math. 14(4): 555-573 (2014) - [j35]Kristof Altmann, Simon Stingelin, Fredi Tröltzsch:
On some optimal control problems for electrical circuits. Int. J. Circuit Theory Appl. 42(8): 808-830 (2014) - [j34]Eduardo Casas, Fredi Tröltzsch:
Second-Order and Stability Analysis for State-Constrained Elliptic Optimal Control Problems with Sparse Controls. SIAM J. Control. Optim. 52(2): 1010-1033 (2014) - 2013
- [j33]Eduardo Casas, Christopher Ryll, Fredi Tröltzsch:
Sparse Optimal Control of the Schlögl and FitzHugh-Nagumo Systems. Comput. Methods Appl. Math. 13(4): 415-442 (2013) - [j32]Rico Buchholz, Harald Engel, Eileen Kammann, Fredi Tröltzsch:
On the optimal control of the Schlögl-model. Comput. Optim. Appl. 56(1): 153-185 (2013) - [j31]Rico Buchholz, Harald Engel, Eileen Kammann, Fredi Tröltzsch:
Erratum to: On the optimal control of the Schlögl-model. Comput. Optim. Appl. 56(1): 187-188 (2013) - 2012
- [j30]Fredi Tröltzsch, Arnd Rösch:
Introduction. Comput. Optim. Appl. 52(1): 1-2 (2012) - [j29]Eduardo Casas, Fredi Tröltzsch:
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Comput. Optim. Appl. 53(1): 173-206 (2012) - [j28]Eduardo Casas, Fredi Tröltzsch:
Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory. SIAM J. Optim. 22(1): 261-279 (2012) - 2011
- [j27]Vili Dhamo, Fredi Tröltzsch:
Some aspects of reachability for parabolic boundary control problems with control constraints. Comput. Optim. Appl. 50(1): 75-110 (2011) - [j26]Pierre-Étienne Druet, Olaf Klein, Jürgen Sprekels, Fredi Tröltzsch, Irwin Yousept:
Optimal Control of Three-Dimensional State-Constrained Induction Heating Problems with Nonlocal Radiation Effects. SIAM J. Control. Optim. 49(4): 1707-1736 (2011) - 2009
- [j25]Fredi Tröltzsch, Irwin Yousept:
A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints. Comput. Optim. Appl. 42(1): 43-66 (2009) - [j24]Fredi Tröltzsch:
Editorial. Comput. Optim. Appl. 44(1): 1-2 (2009) - [j23]Fredi Tröltzsch, Stefan Volkwein:
POD a-posteriori error estimates for linear-quadratic optimal control problems. Comput. Optim. Appl. 44(1): 83-115 (2009) - [j22]Eduardo Casas, Fredi Tröltzsch:
First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations. SIAM J. Control. Optim. 48(2): 688-718 (2009) - 2008
- [j21]Uwe Prüfert, Fredi Tröltzsch, Martin Weiser:
The convergence of an interior point method for an elliptic control problem with mixed control-state constraints. Comput. Optim. Appl. 39(2): 183-218 (2008) - [j20]Luis Alberto Fernandez, William W. Hager, Fredi Tröltzsch:
Editorial. Comput. Optim. Appl. 39(3): 263 (2008) - [j19]Michael Hintermüller, Fredi Tröltzsch, Irwin Yousept:
Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Numerische Mathematik 108(4): 571-603 (2008) - [j18]Eduardo Casas, Juan Carlos de los Reyes, Fredi Tröltzsch:
Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints. SIAM J. Optim. 19(2): 616-643 (2008) - 2007
- [j17]Christian Meyer, Uwe Prüfert, Fredi Tröltzsch:
On two numerical methods for state-constrained elliptic control problems. Optim. Methods Softw. 22(6): 871-899 (2007) - [j16]Juan Carlos de los Reyes, Fredi Tröltzsch:
Optimal Control of the Stationary Navier--Stokes Equations with Mixed Control-State Constraints. SIAM J. Control. Optim. 46(2): 604-629 (2007) - [j15]Arnd Rösch, Fredi Tröltzsch:
On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints. SIAM J. Control. Optim. 46(3): 1098-1115 (2007) - 2006
- [j14]Christian Meyer, Arnd Rösch, Fredi Tröltzsch:
Optimal Control of PDEs with Regularized Pointwise State Constraints. Comput. Optim. Appl. 33(2-3): 209-228 (2006) - [j13]Arnd Rösch, Fredi Tröltzsch:
Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints. SIAM J. Control. Optim. 45(2): 548-564 (2006) - [j12]Christian Meyer, Peter Philip, Fredi Tröltzsch:
Optimal Control of a Semilinear PDE with Nonlocal Radiation Interface Conditions. SIAM J. Control. Optim. 45(2): 699-721 (2006) - [j11]Arnd Rösch, Fredi Tröltzsch:
Sufficient Second-Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control-State Constraints. SIAM J. Optim. 17(3): 776-794 (2006) - 2005
- [j10]Eduardo Casas, Mariano Mateos, Fredi Tröltzsch:
Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Comput. Optim. Appl. 31(2): 193-219 (2005) - [j9]Fredi Tröltzsch:
Regular Lagrange Multipliers for Control Problems with Mixed Pointwise Control-State Constraints. SIAM J. Optim. 15(2): 616-634 (2005) - 2004
- [j8]Fredi Tröltzsch, Daniel Wachsmuth:
On convergence of a receding horizon method for parabolic boundary control. Optim. Methods Softw. 19(2): 201-216 (2004) - 2003
- [j7]Arnd Rösch, Fredi Tröltzsch:
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints. SIAM J. Control. Optim. 42(1): 138-154 (2003) - 2002
- [j6]Nadir Arada, Jean-Pierre Raymond, Fredi Tröltzsch:
On an Augmented Lagrangian SQP Method for a Class of Optimal Control Problems in Banach Spaces. Comput. Optim. Appl. 22(3): 369-398 (2002) - [j5]Nadir Arada, Eduardo Casas, Fredi Tröltzsch:
Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem. Comput. Optim. Appl. 23(2): 201-229 (2002) - [j4]Eduardo Casas, Fredi Tröltzsch:
Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory. SIAM J. Optim. 13(2): 406-431 (2002) - 2000
- [j3]Eduardo Casas, Fredi Tröltzsch, Andreas Unger:
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations. SIAM J. Control. Optim. 38(5): 1369-1391 (2000) - 1999
- [j2]Fredi Tröltzsch:
On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations. SIAM J. Control. Optim. 38(1): 294-312 (1999) - 1997
- [j1]E. Schaich, H. Volger, Fredi Tröltzsch:
Book reviews. Math. Methods Oper. Res. 45(2): 303-307 (1997)
Conference and Workshop Papers
- 2015
- [c5]Fredi Tröltzsch, Alberto Valli:
Modeling and Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors. System Modelling and Optimization 2015: 505-516 - 2011
- [c4]Eileen Kammann, Fredi Tröltzsch:
A posteriori error estimation for nonlinear parabolic boundary control. MMAR 2011: 80-83 - 2009
- [c3]Fredi Tröltzsch:
On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs. LSSC 2009: 40-53 - 2002
- [c2]Eduardo Casas, Fredi Tröltzsch:
Error estimates for linear-quadratic elliptic control problems. Analysis and Optimization of Differential Systems 2002: 89-100 - 1998
- [c1]M. Bergounioux, Fredi Tröltzsch:
A Linear Parabolic Boundary Control Problem with Mixed Control-State Constraint. Control of Distributed Parameter and Stochastic Systems 1998: 13-20
Parts in Books or Collections
- 2012
- [p1]Ira Neitzel, Fredi Tröltzsch:
Numerical Analysis of State-constrained Optimal Control Problems for PDEs. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 467-482
Editorship
- 2013
- [e1]Dietmar Hömberg, Fredi Tröltzsch:
System Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011, Revised Selected Papers. IFIP Advances in Information and Communication Technology 391, Springer 2013, ISBN 978-3-642-36061-9 [contents]
Informal and Other Publications
- 2021
- [i4]Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Space-time finite element methods for the initial temperature reconstruction. CoRR abs/2103.16699 (2021) - 2020
- [i3]Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations. CoRR abs/2003.14141 (2020) - [i2]Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Unstructured space-time finite element methods for optimal control of parabolic equations. CoRR abs/2004.02014 (2020) - [i1]Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang:
Space-time finite element discretization of parabolic optimal control problems with energy regularization. CoRR abs/2004.09504 (2020)
Coauthor Index
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