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Books
Hömberg, D. and F. Tröltzsch (Eds.), System Modeling and Optimization, IFIP AICT 391, Springer, Heidelberg 2013.
F. Tröltzsch: Optimal Control of Partial Differential Equations -
Theory, Methods and Applications. Graduate Studies in Mathematics,
Vol. 112. American Mathematical Society,
Providence, Rhode
Island, 2010 (Translation of the second German edition below by J.
Sprekels).
F. Tröltzsch: Optimale Steuerung partieller
Differentialgleichungen - Theorie, Verfahren und Anwendungen [1],
Vieweg, Wiesbaden 2005. Zweite Auflage: Vieweg+Teubner, Wiesbaden
2009.
Kunisch, K., Leugering, G., Sprekels, J. and F. Tröltzsch (Eds.): Optimal Control of Coupled Partial Differential Equations, International Series of Numerical Mathematics, Vol. 158, Birkhäuser-Verlag 2009.
Kunisch, K., Leugering, G., Sprekels, J. and F. Tröltzsch (Eds.): Control of Coupled Partial Differential Equations, International Series of Numerical Mathematics, Vol. 155, Birkhäuser-Verlag 2007.
Hoffmann, K.H., Lasiecka, I., Leugering, G., Sprekels, J. and F.
Tröltzsch (Eds.): Optimal Control of Complex Structures,
International Series of Numerical Mathematics, Vol. 139,
Birkhäuser-Verlag 2002.
Hoffmann, K.H., Leugering, G. and
F. Tröltzsch (Eds.): Optimal Control of Partial Differential
Equations, International Series of Numerical Mathematics, Vol. 133,
Birkhäuser 1999.
Jentsch, L. and F. Tröltzsch (Eds.):
Problems and Methods in Mathematical Physics. Teubner-Texte zur
Mathematik Vol. 134, B.G. Teubner, Stuttgart, Leipzig 1994.
F. Tröltzsch: Optimality conditions for parabolic control problems
and applications. Teubner-Texte zur Mathematik, Vol. 62, B.G. Teubner,
Leipzig 1984.
Papers
(with U. Langer, O. Steinbach, and H. Yang)
Unstructured space-time finite element methods for optimal sparse
control of parabolic equations.
2020, submitted.
(with S. Martens, C. Ryll, J. Löber, and H. Engel)
Control of
traveling localized spots.
2020, submitted.
(with
U. Langer, O. Steinbach, and H. Yang)
Space-time finite element
discretization of parabolic optimal control problems with energy
regularization.
2020, to appear in SIAM J. Num. Analysis.
(with J. Sprekels)
Sparse optimal control of a phase
field system with singular potentials arising in the modeling of tumor
growth.
2020, to appear in ESAIM Control Optim. Calc.
Variations; arxiv.org/abs/2005.02784 [2].
(with U. Langer,
O. Steinbach, and H. Yang)
Space-time FEM for optimal control of
parabolic equations.
2020, to appear in SIAM J. Sci. Computing;
arxiv.org/abs/2004.09504 [3]
(with E. Casas)
Sparse
optimal control for a semilinear heat equation with mixed
control-state constraints - regularity of Lagrange multipliers.
2020, ESAIM Control Optim. Calc. Variations 27 (2) 2021,
doi.org/10.1051/cocv/2020084 [4].
(with S. Aronna)
First and second order optimality conditions for the control of
Fokker-Planck equations.
2020, submitted;
arxiv.org/abs/2002.03988 [5].
(with E. Casas)
On
optimal control problems with controls appearing nonlinearly in an
elliptic state equation.
SIAM J. Control and Optimization 58
(4), 2020, 1961-1983.
(with V. Maksimov)
Input
reconstruction by feedback control for the Schlögl and
FitzHugh-Nagumo equations.
Int. J. Appl. Math. Comput. Sci 30
(1) 2020, 5-22.
(with M. Gugat and M. Mateos)
Exponential stability for the Schlögl system by Pyragas feedback.
Vietnam J. of Mathematics 48 (4), 2020, 769-790.
(with P. Nestler, N. Schlömer, O. Klein, and J. Sprekels)
Optimal Control of Semiconductor Melts by Traveling Magnetic Fields.
[6]
Vietnam J. of Mathematics 47 (4), 2019, 793-812.
(with E. Casas)
Optimal sparse boundary control for a
semilinear parabolic equation with mixed control-state constraints.
Control and Cybernetics 48 (1), 2019, 89-124.
(with E.
Casas)
State-constrained semilinear elliptic optimization
problems with unrestricted sparse controls.
Mathematical Control
and Related Fields 10 (3), 2020, 527-546.
(with E.
Casas)
Sparse optimal control for the heat equation with mixed
control-state constraints.
Mathematical Control and Related
Fields 10 (3), 2020, 471-491.
(with E. Casas and M.
Mateos)
Optimal time delays in a class of reaction-diffusion
equations. [7]
Optimization 68 (1), 2019, 255-278.
(with E. Casas and M. Mateos)
Measure Control of a
Semilinear Parabolic Equation with a Nonlocal Time Delay. [8]
SIAM J. Control and Optimization 56 (6), 2018, 4434–4460.
(with E. Casas and C. Ryll)
Optimal control of a class of
reaction diffusion equations. [9]
Computational
Optimization and Applications 70 (3), 2018, 677-707.
(with
D. Wachsmuth)
On the switching behavior of sparse optimal
controls for the one-dimensional heat equation. [10]
Mathematical Control and Related Fields (MCRF), 8 (1), 2018,
135-153.
(with A. Valli)
Optimal voltage control of
non-stationary eddy current problems. [11]
Mathematical
Control and Related Fields (MCRF), 8 (1), 2018, 35-56.
(with S. Nicaise)
Optimal control of some quasilinear Maxwell
equations of parabolic type. [12]
Discrete and Continuous
Dynamical Systems - Ser. S, 10 (6), 2017, 1375-1391.
(with
C. Ryll, J. Löber, S. Martens, H. Engel)
Analytical, optimal,
and sparse optimal control of traveling wave solutions to
reaction-diffusion systems. [13]
In: ''Understanding
Complex Systems'', Control of self-organizing nonlinear systems,
Editors: E. Schöll, S. H.L. Klapp and P. Hövel, pp. 189-210,
Springer 2016.
(with A. Valli)
Optimal control of
low-frequency electromagnetic fields in multiply connected
conductors. [14]
Optimization 65 (9), 2016, 1651-1673.
(with E. Casas)
Second order optimality conditions for
weak and strong local solutions of parabolic optimal control
problems. [15]
Vietnam Journal of Mathematics, 44 (1),
2016, 181-202.
(with A. Valli)
Modeling and control
of low-frequency electromagnetic fields in multiply connected
conductors. [16]
In: IFIP Advances in Information and
Communication Technology (IFIP AICT Series) No. 494, System Modeling
and Optimization, CSMO 2015, L. Bociu, J.A. Desideri and A. Habbal
(Eds.), pp. 505-516, Springer 2016.
(with P. Nestler and
E. Schöll)
Optimization of nonlocal time-delayed feedback
controllers. [17]
Computational Optimization and
Applications 64 (1), 2016, 265-294.
(with E. Casas and C.
Ryll)
Second order and stability analysis for optimal sparse
control of the FitzHugh-Nagumo equation. [18]
SIAM J.
Control Optim. 53 (4), 2015, 2168-2202.
(with E. Casas)
Second order optimality conditions and their role in PDE
control. [19]
Jahresbericht der Deutschen
Mathematiker-Vereinigung, 117 (2015), 3-44.
(with M.
Gugat)
Boundary feedback stabilization of the Schlögl
system. [20]
Automatica J. IFAC 51 (2015), 192-199.
(with P. Merino and I. Neitzel)
An adaptive numerical
method for semi-infinite elliptic control problems based on error
estimates. [21]
Optimization Methods and Software, 30 (2015),
no. 3, 492-515.
(with S. Nicaise and S. Stingelin)
Optimal control of magnetic fields in flow measurement. [22]
Discrete and Continuous Dynamical Systems, Ser. S, 8 (2015),
579–605.
(with S. Nicaise and S. Stingelin)
On two
optimal control problems for magnetic fields. [23]
Computational Methods in Applied Mathematics 14 (2014), 555-573.
(with E. Casas)
Second-order and stability analysis for
state-constrained elliptic optimal control problems with sparse
controls. [24]
SIAM J. Control and Optim. 52 (2014), 1010-1033.
(with S. Nicaise)
A coupled Maxwell
integrodifferential model for magnetization processes. [25]
Math. Nachrichten 287 (2014), 432-452.
(with K. Altmann
and S. Stingelin)
[26]On some optimal control problems for
electric circuits [27]. [28]
Int. Journal of Circuit Theory and
Applications 42 (2014), 808-830.
(with C. Prohm and H.
Stark)
Optimal control of particle separation in interial
manifolds. [29]
Eur. Phys. J. E (2013) 36: 118.
(with E. Casas and C. Ryll)
Sparse optimal control of the
Schlögl and FitzHugh-Nagumo systems. [30]
Computational Methods
in Applied Mathematics 13 (2013), 415-442.
(with R.
Buchholz, H. Engel, and E. Kammann)
On the optimal control of the
Schlögl model. [31]
Computational Optimization and Applications
56 (2013), 153-185.
(with E. Kammann and S. Volkwein)
A-posteriori error estimation for semilinear parabolic optimal
control problems with application to model reduction by POD. [32]
ESAIM: Mathematical Modelling and Numerical Analysis 47 (2013),
555-581.
(with I. Yousept)
PDE-constrained
optimization of time-dependent 3D electromagnetic induction heating by
alternating voltages. [33]
M2AN 46 (2012), 709-729.
(with E. Casas)
[34]Second Order Analysis for Optimal
Control Problems: Improving Results Expected from Abstract Theory
[35]. [36]
SIAM J. on Optimization 22 (2012), 261-279.
(with E. Casas)
[37]A general theorem on error estimates
with application to a quasilinear elliptic optimal control problem.
[38]
Computational Optimization and Applications 53 (2012),
173-206.
(with I. Neitzel)
Numerical analysis of
state-constrained optimal control problems for PDEs. [39]
In: G.
Leugering et al. (Eds.), Constrained Optimization and Optimal Control
for Partial Differential Equations, ISNM 160, 467-482, Birkhäuser,
2012.
(with E. Kammann)
[40] A posteriori error
estimation for nonlinear parabolic
boundary control [41]. [42]
In: Emirsajlow, Z. (Ed.), 16th Int. Conference on Methods and Models
in Automation and Robotics (MMAR) (2011), 80-83, IEEE Xplore Digital
Library, DOI 10.1109/MMAR.2011.6031321.
(with E. Casas)
[43]Numerical analysis of some optimal control problems
governed by a
class of quasilinear elliptic equations [44].
[45]
ESAIM Control Optim. Calc. Variations 17 (2011), 771-800.
(with P.-E. Druet, O. Klein, J. Sprekels, and I. Yousept)
Optimal control of 3D state-constrained induction heating
problems with nonlocal radiation effects . [46]
SIAM J. Control
Optim. 49 (2011), 1707-1736.
(with P. Merino and I.
Neitzel)
On linear-quadratic elliptic control problems of
semi-infinite type. [47]
Applicable Analysis, 90 (2011),
1047-1074.
(with V. Dhamo)
Some aspects of
reachability for parabolic boundary control problems with control
constraints. [48]
Computational Optimization and Applications
50 (2011), 75-110.
(with W. Barthel and C. John)
Optimal boundary control of a system of reaction diffusion equations.
[49]
ZAMM 90 (2010), 966-982.
(with M. Hinze)
Discrete concepts versus error analysis in pde constrained
optimization. [50]
GAMM-Mitt. 33 (2010), 148-162.
(with P. Merino and I. Neitzel)
Error Estimates for the Finite
Element Discretization of Semi-infinite Elliptic Optimal Control
Problems. [51]
Discussiones Mathematicae. Differential
Inclusions, Control and Optimization 30 (2010), 221-236.
(with C. John, B.R. Noack, M. Schlegel and D. Wachsmuth)
Optimal boundary control problems related to high-lift
configurations.. [52]
In: King, R. (Ed.), Active Flow Control
II, Notes on Numerical Fluid Mechanics
and Multidisciplinary
Design Vol. 108 (2010), pp. 405-419.
On Finite Element
Error Estimates for Optimal Control Problems with Elliptic PDEs.
[53]
In: Lirkov, I., Margenov, S., and Wasniewski, J. (Eds.),
''Large Scale-Scientific Computing''. Lecture Notes in Computer
Science, Vol. 5910, pp. 40-53. Springer, 2010.
(with E.
Casas)
Recent advances in the analysis of pointwise
state-constrained elliptic optimal control problems. [54]
ESAIM: COCV 16 (2010), 581 - 600.
(with P. Merino and B.
Vexler)
Error estimates for the finite element approximation
of a semilinear elliptic control problem with state constraints
and finite dimensional control space. [55]
ESAIM: Mathematical
Modelling and Numerical Analysis, 44 (2010), 167 - 188.
(with E. Casas)
First- and second-order optimality conditions
for a class of optimal control problems with quasilinear elliptic
equations. [56]
SIAM J. Control and Optimization 48 (2009),
688-718.
(with E. Casas)
Recent advances in the
analysis of state-constrained elliptic optimal control problems.
[57]
In: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch
(Eds.),
Optimal Control of Coupled Systems of Partial
Differential Equations,
ISNM 158, pp. 57-72, Birkhäuser 2009.
(with S. Volkwein)
POD a-posteriori error
estimates for linear-quadratic optimal control problems. [58]
Computational Optimization and Applications 44 (2009), 83-115.
(with I. Yousept)
A regularization method for the
numerical solution of elliptic boundary control problems with
pointwise state constraints. [59]
Computational Optimization
and Applications 42 (2009), 43-63.
(with I. Yousept)
Source representation strategy for optimal boundary control
problems with state constraints. [60]
Journal for Analysis and
its Applications (ZAA) 28 (2009), 189-203.
(with I.
Neitzel)
On regularization methods for the numerical solution
of parabolic control problems
with pointwise state constraints.
[61]
ESAIM: COCV 15 (2009), 426-453.
(with J.C. de
los Reyes, P. Merino, J. Rehberg)
Optimality conditions for
state-constrained PDE control problems with time-dependent
controls. [62]
Control and Cybernetics 37 (2008),
5-38.
(with E. Casas and J.C. de Los Reyes)
Sufficient second-order optimality conditions for semilinear control
problems with pointwise state constraints. [63]
SIAM J. on
Optimization 19 (2008), 616-643.
(with I. Neitzel)
On convergence of regularization methods for nonlinear parabolic
optimal control problems with control and state constraints. [64]
Control and Cybernetics 37 (2008), 1013-1043.
(with M.
Hintermüller and I. Yousept)
Mesh-independence of semismooth
Newton methods for Lavrentiev-regularized state constrained nonlinear
optimal control problems. [65]
Numerische Mathematik 108 (2008),
571-603.
(with U. Prüfert and M. Weiser)
The
convergence of an interior point method for an elliptic control
problem with mixed control-state constraints. [66]
Computational Optimization and Applications 39 (2008), 183-218.
(with A. Carnarius, B. Günther, F. Thiele, D. Wachsmuth,
J.C. De los Reyes)
Numerical Study of the Optimization of
Separation Control. [67]
Proceedings of the 45th AIAA Aerospace
Sciences Meeting and Exhibit,
Reno, 8-11 January 2007, AIAA
2007-58.
(with U. Prüfert)
An interior point
method for a parabolic optimal control problem with regularized
pointwise state constraints. [68]
ZAMM 87 (2007), 564-589.
(with J.C. des los Reyes)
Optimal control of the
stationary Navier-Stokes equations with mixed control-state
constraints. [69]
SIAM J. Control Optimization 46 (2007),
604-629 .
(with J.C. des los Reyes)
Flow control
with regularized state constraints. [70]
In: R. King (Ed.),
Active Flow control. Springer, Berlin 2007, pp. 353-366.
(with A. Rösch)
On regularity of solutions and Lagrange
multipliers of optimal control problems for semilinear equations with
mixed pointwise control-state constraints. [71]
SIAM J. Control
Optimization 46 (2007), 1098-1115.
(with C. Meyer and U.
Prüfert)
On two numerical methods for state-constrained
elliptic control problems. [72]
Optimization Methods and
Software 22 (2007), 871-899.
(with A. Rösch)
Sufficient second-order optimality conditions for an elliptic optimal
control problem with pointwise control-state constraints. [73]
SIAM J. on Optimization 17 (2006), 776-794.
(with C.
Meyer and A. Rösch)
Optimal control problems of PDEs with
regularized pointwise state constraints. [74]
Computational
Optimization and Applications 33 (2006), 209-228.
(with
A. Rösch)
Existence of regular Lagrange multipliers for a
nonlinear elliptic optimal control problem with pointwise
control-state constraints. [75]
SIAM J. Control and
Optimization 45 (2006), 548-564.
(with C. Meyer)
On an elliptic optimal control problem with pointwise mixed
control-state constraints. [76]
In: A. Seeger (Ed.), Recent
Advances in Optimization.
Proceedings of the 12th
French-German-Spanish Conference on Optimization
held in
Avignon, September 20-24, 2004.
Lectures Notes in Economics and
Mathematical Systems, vol. 563,
Springer-Verlag Berlin
Heidelberg, 2006, pp. 187-204.
(with D. Wachsmuth)
Second-order sufficient optimality conditions for the optimal control
of Navier-Stokes equations. [77]
ESAIM COCV 12 (2006), 93-119.
(with C. Meyer and P. Philip)
Optimal control of
a semilinear PDE with nonlocal radiation interface conditions.
[78]
SIAM J. Control Optimization 45 (2006), 699-721.
(with V. Maksimov)
Dynamical state and control
resconstruction for a phase field model. [79]
Dynamics of
Continuous, Discrete and Impulsive Systems,
Ser. A Math.
Analysis, 13 (2006), 419-444.
Regular Lagrange
multipliers for control problems with mixed pointwise
control-state constraints. [80]
SIAM J. on Optimization 15
(2005), 616-634.
(with E. Casas and M. Mateos)
Error estimates for the numerical approximation of boundary semilinear
elliptic control problems. [81]
Computational Optimization and
Applications 31 (2005), 193-220.
(with D. Wachsmuth)
On convergence of a receding horizon method for parabolic boundary
control. [82]
Optimization Methods and Software 19 (2004),
201-216.
(with D. Wachsmuth)
Second-order
sufficient optimality conditions for the optimal control of
instationary Navier-Stokes equations.
Proceedings in Applied
Mathematics and Mechanics 4 (2004), 628-629.
(with T.
Roubicek)
Lipschitz stability of optimal controls for the
steady-state Navier-Stokes equations. [83]
Control and
Cybernetics 32 (2003), 683-705.
(with A. Rösch)
Sufficient second order optimality condititions for a parabolic
optimal control problem with pointwise control-state constraints,
[84]
SIAM J. Control and Optimization 42 (2003), 138-154.
(with E. Casas)
Error estimates for linear-quadratic
elliptic control problems. [85]
In V. Barbu, et al. (Eds):
Analysis and Optimization of Differential Systems, pp. 89-100.
Kluwer Academic Publishers, Boston 2003.
(with E. Casas)
Error estimates for the finite-element approximation of a
semilinear elliptic control problem, [86]
Control and
Cybernetics 31 (2002), 695-712.
(with A. Rösch)
Sufficient second order optimality condititions for a
state-constrained optimal control problem of a weakly singular
integral equation, [87]
Num. Funct. Anal. Appl. 23 (2002),
173-193.
(with N. Arada and J.-P. Raymond)
On an
Augmented Lagrangian SQP Method for a Class of Optimal Control
Problems in Banach Spaces, [88]
Computational Optimization and
Applications 22 (2002), 369-398.
(with N. Arada and E.
Casas)
Error estimates for a semilinear elliptic control
problem, [89]
Computational Optimization and Applications 23
(2002), 201-229.
(with E. Casas)
Second order
necessary and sufficient optimality conditions for optimization
problems and applications to control theory, [90]
SIAM J.
Optimization, 13 (2002), 406-431.
(with H. D. Mittelmann)
Sufficient Optimality in a Parabolic Control Problem, [91]
In: A.H. Siddiqi, and M. Kocvara (Eds): Trends in Industrial and
Applied Mathematics,
Kluwer, Dordrecht, The Netherlands, 2002,
pp. 305-316.
(with W. Römisch)
Applied nonlinear
optimization. [92]
In: DFG Research Center Mathematics for Key
Technologies,
Berliner Mathematische Gesellschaft, 2002, pp.
21-37.
(with A. Unger)
Fast solution of optimal
control problems in the selective cooling of steel, [93]
ZAMM
81 (2001), 447-456.
(with S. Volkwein)
The SQP
method for control constrained optimal control of the Burgers
equation, [94]
ESAIM: Control, Optimisation and Calculus of
Variations 6 (2001), 649-674.
(with K. Eppler)
Optimal Control Problems for the Nonlinear Heat Equation, [95]
In: Online Optimization of Large Scale Systems, Grötschel, M.,
Krumke, S.O.
and Rambau, J. (Eds.), Springer-Verlag Berlin
2001, pp. 173-184.
(with K. Eppler)
Fast
Optimization Methods in the Selective Cooling of Steel, [96]
In:
Online Optimization of Large Scale Systems, Grötschel, M., Krumke,
S.O. and Rambau, J., Eds., Springer-Verlag Berlin 2001, pp.
185-204.
Lipschitz stability of solutions of
linear-quadratic parabolic control problems with respect to
perturbations. [97]
Dynamics of Continuous, Discrete and
Impulsive Systems 7 (2000), 289-306.
(with E. Casas and A.
Unger)
Second order sufficient optimality conditions for some
state-constrained control problems of semilinear elliptic equations,
[98]
SIAM J. Control and Optimization 38 (2000), 1369-1391.
(with J.-P. Raymond)
Second order sufficient
optimality conditions for nonlinear parabolic control problems with
state constraints, [99]
Discrete and Continuous Dynamical
Systems 6 (2000), 431-450.
(with K. Malanowski)
Lipschitz stability of solutions to parametric optimal control for
elliptic equations, [100]
Control and Cybernetics 29 (2000),
237-256.
(with M. Heinkenschloss)
Analysis of an
SQP method for the control of a phase field equation, [101]
Control Cybernetics 28 (1999), 177-211.
(with M.
Bergounioux)
Optimal Control of Semilinear Parabolic Equations
with State-Constraints of Bottleneck Type, [102]
ESAIM: Control,
Optimisation and Calculus of Variations 4 (1999), 595-608.
(with E. Casas)
Second order necessary optimality conditions
for some state-constrained control problems of semilinear elliptic
equations. [103]
Appl. Math. Optimization 39 (1999), 211-228.
(with A. Myslinski)
A domain optimization
problem for a nonlinear thermoelastic system. [104]
In: K.H.
Hoffmann, G. Leugering, F. Tröltzsch (Eds.), Optimal Control of
Partial Differential Equations, ISNM, vol. 133, pp. 221-230,
Birkhäuser 1999.
(with M. Bergounioux)
A linear
parabolic boundary control problem with mixed control-state
constraint.
In: S. Chen, X. Li, J. Yong (Eds.), Control of
Distributed Parameter and Stochastic Systems, Proceed. IFIP WG 7.2
Int. Conf., Hangzhou, June 19-22, 1998, pp. 13-20, Kluwer Acad. Publ.
1999.
(with K. Malanowski)
Lipschitz stability of
solutions to parametric optimal control for parabolic equations,
[105]
Journal of Analysis and its Applications (ZAA), 18 (1999),
469-489.
On the Lagrange-Newton-SQP Method for the
Optimal Control of Semilinear Parabolic Equations, [106]
SIAM
J. Control and Optimization 38 (1999), 294-312.
(with H.
Goldberg)
On a Lagrange-Newton method for a nonlinear
parabolic boundary control problem. [107]
Optimization Methods
and Software 8 (1998), 225-247.
(with H. Goldberg)
On a SQP--multigrid technique for nonlinear parabolic boundary control
problems. [108]
In: Optimal Control: Theory, Algorithms, and
Applications. W. W. Hager and P. M. Pardalos (Eds.), Kluwer Academic
Publishers B.V., 1998, pp. 154-177.
(with R. Lezius, R.
Krengel, H. Wehage)
Mathematische Behandlung der optimalen
Steuerung von Abkühlprozessen bei Profilstählen.
In: K.H.
Hoffmann, W. Jäger, T. Lohmann, and H. Schunck, Eds., Mathematik -
Schlüsseltechnologie für die Zukunft, Verbundprojekte zwischen
Universtität und Industrie, pp. 513-524, Springer 1997.
(with M. Bergounioux)
Optimal Control of Linear Bottleneck
Problems. [109]
ESAIM: Control, Optimisation and Calculus of
Variations 3 (1998), 235-250.
(with W. Alt and H.
Sontag)
An SQP method for optimal control of weakly singular
Hammerstein integral equations. [110]
Appl. Math. Optimization
33 (1996), 227-252.
(with H. Goldberg and H. Sprekels)
Numerical treatment of a shape optimization problem in
thermoelasticity. [111]
DFG-Preprint series
"Anwendungsbezogene Optimierung und Steuerung", Report No.
520.
(with D. Tiba)
Error estimates for the
discretization of state constrained convex control problems. [112]
Num. Funct. Anal. Optimization 17 (1996), 1005-1028.
(with R. Lezius)
Theoretical and numerical aspects of
controlled cooling of steel profiles. [113]
In: H. Neunzert
(Ed.), Progress in Industrial Mathematics at ECMI 94, 380-388,
and Teubner 1996.
(with M. Bergounioux)
Optimality Conditions and Generalized Bang-Bang-Principle for a
State-Constrained Semilinear Parabolic Problem. [114]
Num.
Funct. Anal. Optimization 17 (1996), 517-536.
(with E.
Casas and A. Unger)
Second order sufficient optimality
conditions for a nonlinear elliptic control problem. [115]
J.
for Analysis and its Applications (ZAA) 15 (1996), 687-707.
A stability theorem for linear-quadratic parabolic control
problems. [116]
In: Casas, E. (Ed.), Control of partial
differential equations and applications,
Lecture Notes in Pure
and Appl. Math. 174 (1996), 287-296.
(with J. Sprekels)
On an optimal shape design problem connected with the heating
of elastic bodies. [117]
Semidiscrete Ritz - Galerkin
approximation of nonlinear parabolic boundary control problems -
strong convergence of optimal controls. [118]
Appl. Math.
Optimization 29 (1994), 309-329.
An SQP method for
optimal control of a nonlinear heat equation. [119]
Control and
Cybernetics 23 (1994), 267-288.
Convergence of an
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