Publications

2023

Model order reduction for optimality systems through empirical gramians
L. Mechelli, J. Rohleff and S. Volkwein
Submitted, 2023

2022

An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations
M. Bernreuther and S. Volkwein
Published, 2022

An MINLP Model for designing decentralized. energy supply networks
C. Eggen, T.-V. Huynh, M. Link, P. Stephan and S. Volkwein

A trust region reduced basis Pascoletti-Serafini algorithm for multi-objective PDE-constrained parameter optimization
S. Banholzer, L. Mechelli and S. Volkwein
Mathematical and Computational Applications 27, 39, 2022

Adaptive piecewise linear relaxations for enclosure computations or multiobjective mixed-integer nonconvex optimization problems
M. Link and S. Volkwein
Submitted, 2022

Adaptive reduced basis methods for PDE-constrained optimization and optimal input design
A. Petrocchi, M. K. Scharrer and S. Volkwein
Konstanzer Schriften in Mathematik 402, University of Konstanz, 2022

An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization
S. Banholzer, T. Keil, L. Mechelli, M. Ohlberger, F. Schindler and S. Volkwein
Pure and Applied Functional Analysis, 7:1561-1596, 2022

Computing an enclosure for multiobjective mixed-integer nonconvex optimization problems using piecewise linear relaxations
M. Link and S. Volkwein
Optimization Online, 2022

Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy
S. Casper, D. H. Fuertinger, P. Kotanko, L. Mechelli, J. Rohleff and S. Volkwein
To appear in Ehrhardt, M., Günther, M. (eds) Progress in Industrial Mathematics at
ECMI 2021. ECMI 2021. Mathematics in Industry, Vol 39. Springer, Cham

Efficient scalarization in multiobjective optimal control of a nonsmooth PDE
M. Bernreuther, G. Müller and S. Volkwein
Computational Optimization and Applications, 83:435-464, 2022

Modelling and Simulation of District Heating Networks
C. Jäkle, L. Reichle and S. Volkwein
Technical Report 404, University of Konstanz, 2022

Reduced basis methods for optimal experimental design of parametrized linear evolution problems
A. Petrocchi, M. K. Scharrer and S. Volkwein
Technical Report, University of Konstanz, 2022

Reduced basis model order reduction in optimal control of a non-smooth semilinear elliptic PDE
M. Bernreuther, G. Müller and S. Volkwein
Optimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization, Edited by R. Herzog, M. Heinkenschloss, D. Kalise, G. Stadler and Emmanuel Trélat, Berlin, Boston: De Gruyter, 2022

2021

A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained parameter optimization
T. Keil, L. Mechelli, M. Ohlberger, F. Schindler and S. Volkwein
ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 55(3), pp. 1239-1269, 2021

An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints
G. Ciaramella and L. Mechelli
Proceedings of the 26th Domain Decomposition Conference, Domain Decomposition Methods in Science and Engineering XXVI, 2023

Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy
S. Casper, D. H. Fuertinger, P. Kotanko, L. Mechelli, J. Rohleff and S. Volkwein
Submitted, 2021

Model order reduction by proper orthogonal decomposition
C. Gräßle, M. Hinze and S. Volkwein
Model Order Reduction. Volume 2: Snapshot-Based Methods and Algorithms, De Gruyter, pages 47-96, 2021

Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
C. Christof and G. Müller
ESAIM: Control, Optimisation and Calculus of Variations, 27, 2021

On the effect of boundary conditions on the scalability of Schwarz methods
G. Ciaramella and L. Mechelli
Proceedings of the 26th Domain Decomposition Conference, Domain Decomposition Methods in Science and Engineering XXVI, 2023

Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation
J. Andrej, L. Grüne, L. Mechelli, T. Meurer, S. Pirkelmann and S. Volkwein
Computers and Mathematics with Applications, 2021

Performance estimates for economic model predictive control and their application in POD-based implementations
L. Grüne, L. Mechelli, S. Pirkelmann and S. Volkwein
Mathematical Control & Related Fields, 11(3), pp. 579-599, 2021

Personalized Medicine: Optimized EPO Dosing
D. Fürtinger, F. Kappel, P. Kotanko, S. Rogg and S. Volkwein
In: Bock, H.G., Küfer, KH., Maass, P., Milde, A., Schulz, V. (editors), German Success Stories in Industrial Mathematics. Mathematics in Industry, vol 35. Springer, Cham, 2021

ROM-based inexact subdivision methods for PDE-constrained multiobjective optimization
S. Banholzer, B. Gebken, L. Reichle and S. Volkwein
Math. Comput. Appl. 2021, 26(2), 32
 

2020

Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation
S. Banholzer, G. Fabrini, L. Grüne and S. Volkwein
Mathematics 2020, 8, 777.

POD-based augmented Lagrangian method for state constrained heat-convection phenomena
J.S. Jehle, L. Mechelli and S. Volkwein
In: J. Fehr and B. Haasdonk (eds) IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22--25, 2018, Springer International Publishing, Cham, 2020

POD-based mixed-integer optimal control of evolution systems
C. Jäkle and S. Volkwein
In Advances in Dynamics, Optimization and Computation, Edited by O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, Kathrin Padberg-Gehle, Springer International Publishing pp. 238-264, 2020

ROM-based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz and S. Volkwein
In: M. Hintermüller., R. Herzog, C. Kanzow, M. Ulbrich, S. Ulbrich (Non-Smooth and Complementarity-Based Distributed Parameter Systems). International Series of Numerical Mathematics, vol 172 pp. 43-76. Birkhäuser, Cham, 2022

2019

Coupling MPC and HJB for the computation of POD-based feedback laws
G. Fabrini, M. Falcone and S. Volkwein
Lecture Notes in Computational Science and Engineering, 126:, 941-949, 2019

Hierarchical convex multiobjective optimization by the Euclidean reference point method
S. Banholzer and S. Volkwein
Technical Report, 2019

Optimal design of experiments for a lithium-ion cell: parameter identification of a single particle model with electrolyte dynamics
A. Pozzi, G. Ciaramella, S. Volkwein and D. Raimondo
Industrial & Engineering Chemistry Research, 58:1286-1299, 2019

Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach
S. Rogg, D. Fuertinger, S. Volkwein, F. Kappel, and P. Kotanko
Journal of Mathematical Biology, 79:2281-2313, 2019

POD-based economic model predictive control for heat-convection phenomena
L. Mechelli and S. Volkwein
Lecture Notes in Computational Science and Engineering, 126:663-670, 2019

POD-based mixed-integer optimal control of the heat equation
F. Bachmann, D. Beermann, J. Lu and S. Volkwein
Journal of Scientific Computing, 81:48-75, 2019

POD-based multiobjective optimal control of time-variant heat phenomena
S. Banholzer, E. Makarov and S. Volkwein
Lecture Notes in Computational Science and Engineering, 126:881-888, 2019

2018

Optimization of hybrid multi-carrier energy supply networks
D. Beermann, D. König, J. Lu and S. Volkwein
Technical Report, Konstanzer Schriften in Mathematik, 2018

Optimal design of experiment for parameter estimation of a Single Particle Model for lithium-ion batteries
A. Pozzi, G. Ciaramella, K. Gopalakrishnan, S. Volkwein and D.M. Raimondo
In 2018 IEEE Conference on Decision and Control (CDC), pages 6482-6487, 2018

POD-based economic optimal control for heat-convection phenomena
L. Mechelli and S. Volkwein
In Falcone, M., Ferretti, R., Grüne, L., McEneaney, W.M. (Eds.), Numerical Methods for Optimal Control Problems, pages 63-87, Springer, 2018.

POD-based multiobjective optimal control of PDEs with non-smooth objectives
D. Beermann, M. Dellnitz,  S. Peitz and S. Volkwein
PAMM, 17:51-54, 2018

Reduced-order greedy controllability of finite dimensional linear systems
G. Fabrini, L. Iapichino and S. Volkwein
IFAC-PapesOnline, 51; 296-301, 2018

Set-oriented multiobjective optimal control of PDEs using proper orthogonal decomposition
D. Beermann, M. Dellnitz, S. Peitz and S. Volkwein
In Reduced-Order Modelling (ROM) for Simulation and Optimization, W. Keiper, A. Milde, S. Volkwein (eds.), pp. 47-72, 2018

2017

A HJB-POD approach to the control of the level set equation
A. Alla, G. Fabrini and M. Falcone
In: Benner P., Ohlberger M., Patera A., Rozza G., Urban K. (eds) Model Reduction of Parametrized Systems. MS&A (Modeling, Simulation and Applications), vol 17. Springer, Cham, 2017, 317-331.

A-posteriori error estimation of discrete POD models for PDE-constrained optimal controls
M. Gubisch, I. Neitzel and S. Volkwein
In P. Benner,  M. Ohlberger, A.T. Patera, G. Rozza, and K. Urban (eds.), Model Reduction of Parametrized Systems Springer-Series Modeling, Simulation and Applications, 17:213-234, 2017

Coupling MPC and DP methods for an efficient solution of optimal control problems
G. Fabrini, M. Falcone and S. Volkwein
In: Bociu L., Désidéri JA., Habbal A. (eds) System Modeling and Optimization. CSMO 2015. IFIP Advances in Information and Communication Technology, vol 494. Springer, Cham, 2017, 68-77.

Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach
A. Alla, M. Falcone and S. Volkwein
SIAM Journal on Control and Optimization, 55:3091-3115, 2017

Mathematical Modeling and global optimization of hybrid energy supply networks
M. Bernreuther, J. Lu  and S. Volkwein
Technical Report, Konstanzer Schriften in Mathematik, No. 358, 2017

Multiobjective PDE-constrained optimization using the reduced-basis method
L. Iapichino, S. Ulbrich and S. Volkwein
Advances in Computational Mathematics, 43:945-972, 2017

POD-based error control for reduced-order bicriterial PDE-constrained optimization
S. Banholzer, D. Beermann and S. Volkwein
Annual Reviews in Control, 44, 226-237, 2017

POD basis updates for nonlinear PDE control
C. Gräßle, M. Gubisch, S. Metzdorf, S. Rogg and S. Volkwein
at - Automatisierungstechnik, 65: 298-307, 2017

Proper orthogonal decomposition for linear-quadratic optimal control
M. Gubisch and S. Volkwein
In P. Benner, A. Cohen, M. Ohlberger and K. Willcox (eds.), Model Reduction and Approximation: Theory and Algorithms. pages 5-66, SIAM, Philadelphia, PA, 2017

Trust-region POD using a-posteriori error estimation for semilinear parabolic optimal control problems
S. Rogg, S. Trenz and S. Volkwein
Technical Report, Konstanzer Schriften in Mathematik, No. 359, 2017

2016

A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method
L. Iapichino, S. Volkwein and A. Wesche
Mathematical and Computer Modelling of Dynamical Systems, 22:362-379, 2016

Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form
S. Banholzer and D. Beermann
Technical Report, University of Konstanz, 2016

POD-based bicriterial optimal control by the reference point method
S. Banholzer, D. Beermann and S. Volkwein
IFAC-PapersOnLine, 49:210-215, 2016

Reduced-order multiobjective optimal control of semilinear parabolic problems
L. Iapichino, S. Volkwein and S. Trenz
Numerical Mathematics and Advanced Applications (ENUMATH 2015), Lecture Notes in Computational Science and Engineering, 112:389-397, 2016

2015

Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE
A. Alla and S. Volkwein
Advances in Computational Mathematics, 41:1073-1102, 2015

Numerical analysis of optimality-system POD for constrained optimal control
E. Grimm, M. Gubisch and S. Volkwein
Lecture Notes in Computational Science and Engineering, 105:297-317, Springer-Verlag, 2015

Optimality conditions and POD a-posteriori error estimates for a semilinear parabolic optimal control
O. Lass, S. Trenz and S. Volkwein
Technical Report, Konstanzer Schriften in Mathematik, No. 345, 2015

Optimization strategy for parameter sampling in the reduced basis method
L. Iapichino and S. Volkwein
IFAC-PapersOnLine, 48:707-712, 2015

Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling
O. Lass and S. Volkwein
Computational Optimization and Applications, 62:217-239, 2015

Proper Orthogonal Decomposition zur Optimalsteuerung linearer partieller Differentialgleichungen
S. Volkwein
In Elektrische Antriebe - Regelung von Antriebssystemen von Dirk Schröder, pp. 1658-1684, Springer-Verlag, 2015

2014

Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location
O. Lass and S. Volkwein
Computational Optimization and Applications, 58:645-677, 2014

Greedy sampling using nonlinear optimization
K. Urban, S. Volkwein and O. Zeeb
Proceedings of the CECAM Workshop on Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards real-time computing and visualization? In Reduced Order Methods for Modeling and Computational Reduction, A. Quarteroni and R. Rozza (eds.), pp. 137-157, Springer-Verlag, 2014

Model order reduction for PDE constrained optimization
P. Benner, E. Sachs and S. Volkwein
In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (Eds.), Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, Vol. 165, pages 303-326, Birkhäuser, Basel, 2014.

POD a-posteriori error analysis for optimal control problems with mixed control-state constraints
M. Gubisch and S. Volkwein
Computational Optimization and Applications, 58:619-644, 2014

Reduced basis method for the Stokes equations in decomposable domains using greedy optimization
L. Iapichino, A. Quarteroni, G. Rozza and S. Volkwein
ECMI 2014 proceedings, p. 1-7, ECMI book subseries of Mathematics in Industry, Heidelberg: Springer, 2014

2013

An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction
R. Mancini and S. Volkwein
Numerical Linear Algebra with Applications, 20:689-711, 2013

A method of a-posteriori error estimation with application to proper orthogonal decomposition
E. Kammann, S. Volkwein and F. Tröltzsch
ESAIM: Mathematical Modelling and Numerical Analysis, 47:555-581, 2013

Greedy sampling of distributed parameters in the reduced-basis method by numerical optimization
L. Iapichino and S. Volkwein

Numerical analysis of POD a-posteriori error estimation for optimal control
A. Studinger and S. Volkwein
In Control and Optimization with PDE Constraints, Kunisch, K.;Bredies,K.; Clason, C.; von Winckel (eds), International Series of Numerical Mathematics, Vol. 164, Birkhäuser, Basel, pp. 137-158, 2013

POD Galerkin schemes for nonlinear elliptic-parabolic systems
O. Lass and S. Volkwein
SIAM Journal on Scientific Computing, 35(3):A1271-A1298, 2013

The reduced basis method applied to transport equations of a lithium-ion battery
S. Volkwein and A. Wesche
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 32:1760-1772, 2013

2012

Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems
G. Vossen and S. Volkwein
Numerical Algebra, Control and Optimization, 2:465-485, 2012

POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems
M. Kahlbacher and S. Volkwein
ESAIM: Mathemematical Modelling and Numerical Analysis, 46:491-511, 2012

2011

Comparison of the reduced-basis and POD a-posteriori estimators for an elliptic linear-quadratic optimal control problem
T. Tonn, S. Volkwein and K. Urban
Mathematical and Computer Modelling of Dynamical Systems, Special Issue: Model order reduction of parameterized problems, 17:355-369, 2011

Optimality system POD and a-posteriori error analysis for linear-quadratic problems
S. Volkwein
Control and Cybernetics, 40:1109-1125, 2011

Space mapping techniques for a structural optimization problem governed by the p-Laplace equation
O. Lass, C. Posch, S. Volkwein and G. Scharrer
Optimization Methods and Software, 26:617-642, 2011

2010

Admittance identification from point-wise sound pressure measurements using reduced-order modelling
S. Volkwein
Journal of Optimization Theory and Applications, 147:169-193, 2010

A space mapping approach for the p-Laplace equation
O. Lass and S. Volkwein
In Recent Advances in Optimization and its Applications in Engineering, Part 6, 399-408, 2010

Mathematical optimization of a plate volume under a p-Laplace PDE constraint by using standard software
G. Scharrer, S. Volkwein and T. Heubrandtner
The Int. J. of Multiphysics, 4:1-11, 2010

Optimal control of parameter-dependent convection-diffusion problems around rigid bodies
T. Tonn, S. Volkwein and K. Urban
SIAM J. Sci. Comput., 32:1237-1260, 2010

Optimal snapshot location for computing POD basis functions
K. Kunisch and S. Volkwein
ESAIM: Mathemematical Modelling and Numerical Analysis. 44:509-529, 2010

POD Galerkin approximations in PDE-constrained optimization
E.W. Sachs and S. Volkwein
GAMM-Mitteilungen, 33:194-208, 2010

2009

A globalized Newton method for the accurate solution of a dipole quantum control problem
G. von Winckel, S. Volkwein and A. Borzi
SIAM J. Sci. Comput. Volume 31:4176-4203, 2009

Estimation of regularization parameters in elliptic optimal control problems by POD model reduction
M. Kahlbacher and S. Volkwein
In System Modelling and Optimization, A. Korytowski, K. Malanowski, W. Mitkowski, and M. Szymkat (eds.), 23rd IFIP TC 7 Conference, Cracow, Poland, July 23-27, 2007, Springer-Verlag, Berlin, 307-318, 2009

Mesh-independence and preconditioning for solving control problems with mixed control-state constraints
M. Hintermüller, S. Volkwein and I. Kopacka
ESAIM: Control, Optimisation and Calculus of Variations, 15:626-652, 2009

POD a-posteriori error estimates for linear-quadratic optimal control problems
F. Tröltzsch and S. Volkwein
Computational Optimization and Applications, 44:83-115, 2009

2008

A sequential quadratic programming method for volatility estimation in option pricing
A. Jüngel, S. Volkwein and B. Düring
Journal on Optimization Theory and Applications, 139:515-540, 2008

Cascadic non-linear conjugate gradient solution to finite-level quantum optimal control problems
A. Borzi, S. Volkwein and J. Salomon
Journal of Computational and Applied Mathematics, 216:170-197, 2008

Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition
M. Hinze and S. Volkwein
Computational Optimization and Applications, 39:319-345, 2008

Estimation of diffusion coefficients in a scalar Ginzburg-Landau equation by using model reduction
M. Kahlbacher and S. Volkwein
Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, Kunisch, K.; Of, G.; Steinbach, O. (Eds.), Springer-Verlag, Heidelberg, 727-734, 2008

Impedance identification by POD model reduction techniques
A. Hepberger and S. Volkwein
at-Automatisierungstechnik, 8:437-446, 2008

Objective vehicle dynamics evaluation of heavy commercial vehicles by means of model based parameter identifcation
K. Prenninger, S. Volkwein and W. Hirschberg
In FISITA 2008, World Automotive Congress, Munich, Germany, 2008

Proper orthogonal decomposition for optimality systems
K. Kunisch and S. Volkwein
ESAIM: Mathemematical Modelling and Numerical Analysis, 42:1-23, 2008

Receding horizon controller for the baroreceptor loop in a model for the cardiovascular system
M. Mutsaers, M. Bachar, J. Batzel, S. Volkwein and F. Kappel
Cardiovascular Engineering, 8:14-22, 2008

2007

A novel approach in vehicle dynamics. Parameter estimation of the non-linear sideslip stiffness
W. Hirschberg, S. Volkwein and P. Prenninger
VDI-Berichte 1990, Erprobung und Simulation in der Fahrzeugentwicklung, (ISBN 978-3-18-091990-4), 13. VDI-Fachtagung, Würzburg, VDI Verlag GmbH, Düsseldorf, 359-374, 2007

A semismooth Newton method for semilinear optimal control problems with control-state and integral-state constraints
M. Hintermüller, S. Volkwein and H. Müller
Technical Report IMA03-07, University of Graz, 2007

Entwurf eines Sollwertgenerators für Fahrdynamikregelsysteme
S. Eitzinger, W. Hirschberg, S. Volkwein and W. Rosinger
Proceedings zum 15. Steierisches Seminar für Regelungstechnik und Prozessautomatisierung, Schloss Retzhof, 2007

Fast solution techniques in constrained optimal boundary control of the semilinear heat equation
F. Diwoky, S. Volkwein and M. Hintermüller
International Series of Numerical Mathematics, 155:119-147, 2007

Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems
M. Kahlbacher and S. Volkwein
Discussiones Mathematicae: Differential Inclusions, Control and Optimization, 27:95-117, 2007

Optimal control of the stationary quantum drift-diffusion model
A. Unterreiter and S. Volkwein
Communications in Mathematical Sciences, 5:85-111, 2007

Primal-dual active set methods for optimal control problems with mixed control-state and bilateral control constraints
M. Hintermüller and S. Volkwein
Technical Report IMA04-07, University of Graz, 2007

2006

An algorithm for Galerkin projections in both time and spatial coordinates
S. Weiland and S. Volkwein
Proceedings of the Seventeenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, July 24-28, 2006

Analysis and assessment of the sensitivity of trim parameters on SEA simulations for interior noise reduction
S. Brandl, I. Hauer, H.-H. Priebsch, S. Volkwein and T. Bartosch
Proceedings of the 13th International Congress on Sound and Vibration (ICSV), Vienna, Austria, 2006

Impedance identification out of pressure datas with a hybrid measurement-simulation methodology up to 1kHz
F. Diwoky, A. Hepberger, S. Volkwein and H.-H. Priebsch
In Proceedings of International Conference on Noise and Vibration Engineering, Leuven, Belgium, 2006

Model reduction by proper orthogonal decomposition for lambda-omega systems
M. Müller and S. Volkwein
In Proceedings of European Conference on Computational Fluid Dynamics (ECCOMAS CFD), P. Wesseling, E. Onate, and J. Periaux (eds.), Egmont aan Zee, 2006

Model reduction by proper orthogonal decomposition for estimation of scalar parameters in elliptic PDEs
M. Kahlbacher and S. Volkwein
In Proceedings of European Conference on Computational Fluid Dynamics (ECCOMAS CFD), P. Wesseling, E. Onate, and J. Periaux (eds.), Egmont aan Zee, 2006

Numerical feedback controller design for PDE systems using model reduction: techniques and case studies
F. Leibfritz and S. Volkwein
In L. Biegler and O. Ghattas and M. Heinkenschloss and D. Keyes and B. van Bloemen Waanders (eds.), Real-Time PDE-Constrained Optimization, SIAM, 2006

Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system
R. Griesse and S. Volkwein
Large-Scale Nonlinear Optimization. Series Nonconvex Optimization and Its Applications, Di Pillo and M. Roma (eds), Springer-Verlag, Berlin, 83:127-149, 2006

Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming
F. Leibfritz and S. Volkwein
Linear Algebra and Its Applications, 415:542-575, 2006

SQP methods for parameter identification problems arising in hyperthermia
T. Gänzler, S. Volkwein and M. Weiser
Optimization Methods and Software, 21:869-887, 2006

2005

A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system
R. Griesse and S. Volkwein
SIAM Journal on Control and Optimization, 44:467-494, 2005

Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control
M. Hinze and S. Volkwein
In Reduction of Large-Scale Systems, P. Benner, V. Mehrmann, D. C., Sorensen (eds.), Lecture Notes in Computational Science and Engineering,Vol. 45, 261-306, 2005

2004

A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system
R. Griesse and S. Volkwein
Proceedings of the Sixteenth International Symposium on Mathematical, Theory of Networks and Systems (MTNS), Leuven, Belgium, July 5-9, 2004

Condition number of the stiffness matrices arising in POD Galerkin schemes for dynamical systems
S. Volkwein
PAMM Proc. Appl. Math. Mech., 4, 39-42, 2004

Dynamical system based optimal control of incompressible fluids
M. Hintermüller, K. Kunisch, S. Volkwein and Y. Spasov
International Journal for Numerical Methods in Fluids, 46:345-359, 2004

HJB-POD based feedback design for the optimal control of evolution problems
K. Kunisch, S. Volkwein and L. Xie
SIAM Journal on Applied Dynamical Systems, 3:701-722, 2004

Interpretation of proper orthogonal decomposition as singular value decomposition and HJB-based feedback design
S. Volkwein
Proceedings of the Sixteenth International Symposium on Mathematical, Theory of Networks and Systems (MTNS), Leuven, Belgium, July 5-9, 2004

Nonlinear conjugate gradient methods for the optimal control of laser surface hardening
S. Volkwein
Optimization Methods and Software, 18:179-199, 2004

On-line identification of hemodynamic variables by dilution off ultra-pure dialysate during hemodialysis
J. Wimmer, F. Kappel, B. Haditsch, H. Holzer, S. Volkwein and D. Schneditz
Cardiovascular Engineering, 4:39-46, 2004

Optimal control strategies for the surface hardening of steel
D. Hömberg, S. Volkwein and W. Wolf
2nd International Conference on Thermal Process Modelling and Computer, Simulation Nancy, France, March 31 - April 2, 2003, Journal de Physique, IV (Proceedings), S. Denis, P. Archambault, J.-M. Bergheau, R. Fortunier, (eds.), 120:325-335, 2004

2003

A globalized SQP method for the optimal control of laser surface hardening
S. Volkwein
SFB-Preprint No. 272, 2003

Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition
D. Hömberg and S. Volkwein
Mathematical and Computer Modeling, 38:1003-1028, 2003

Lagrange-SQP techniques for the control constrained optimal boundary control problems for the Burgers equation
S. Volkwein
Computational Optimization and Applications, 26:253-284, 2003

Laser surface hardening using proper orthogonal decomposition for a three-dimensional example
D. Hömberg and S. Volkwein
PAMM Proc. Appl. Math. Mech., 3, 1-4, 2003

Optimal control of laser surface hardening by utilizing a nonlinear primal-dual active set strategy
S. Volkwein
SFB-Preprint No. 277, 2003

Some remarks on augmented Lagrange-Newton SQP methods
S. Volkwein
SFB-Preprint No. 256, 2003

Upwind techniques and mixed finite elements for the steady-state Burgers equation
S. Volkwein
SFB-Preprint No. 278, 2003

2002

Affine invariant convergence analysis for inexact augmented Lagrangian-SQP mehods
S. Volkwein and M. Weiser
SIAM Journal on Control and Optimization, 41:875-899, 2002

Analysis of instantaneous control for the Burgers equation.
M. Hinze and S. Volkwein
Nonlinear Analysis - Theory and Methods and Applications, 50:1-26, 2002

Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates
E. Sachs and S. Volkwein
SIAM Journal on Numerical Analysis, 40:233-253, 2002

Crank-Nicolson Galerkin proper orthogonal decomposition approximations for a general equation in fluid dynamics
K. Kunisch and S. Volkwein
18th GAMM Seminar on Multigrid and related methods for optimization problems, Leipzig, 97-114, 2002

Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics
K. Kunisch and S. Volkwein
SIAM Journal on Numerical Analysis, 40:492-515, 2002

Mesh-independence of Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates
S. Volkwein
Optimization Methods and Software, 17:77-111, 2002

2001

Boundary control of the Burgers equation: optimality conditions and reduced-order approach
S.Volkwein
In K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, and F. Tröltzsch, editors, Optimal Control of Complex Structures, International Series of Numerical Mathematics, 139:267-278, 2001

Distributed control problems for the Burgers equation
S. Volkwein
Computational Optimization and Applications, 18:115-140, 2001

Galerkin proper orthogonal decomposition methods for parabolic problems
K. Kunisch and S. Volkwein
Numerische Mathematik, 90:117-148, 2001

Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition
F. Diwoky and S. Volkwein
In K.-H. Hoffmann, R. H. W. Hoppe, V. Schulz, editors, Fast Solution of Discretized Optimization Problems, International Series of Numerical Mathematics, 138:73-87, 2001

Optimal and suboptimal control of partial differential equations: augmented Lagrange-SQP methods and reduced-order modeling with proper orthogonal decomposition
S. Volkwein
Habilitation Thesis, Karl-Franzens Universität Graz, 2001

Optimal control of a phase-field model using proper orthogonal decomposition
S. Volkwein
Zeitschrift für Angewandte Mathematik und Mechanik, 81:83-97, 2001

Second-order conditions for boundary control problems of the Burgers equation
S. Volkwein
Control and Cybernetics, 30:249-278, 2001

The SQP method for control constrained optimal control of the Burgers equation
F. Tröltzsch and S. Volkwein
ESAIM: Control, Optimisation and Calculus of Variations, 6:649-674, 2001

2000

Application of the augmented Lagrangian-SQP method to optimal control problems for the stationary Burgers equation
S. Volkwein
Computational Optimization and Applications, 16:57-81, 2000

Mesh-independence for an augmented Lagrangian-SQP method in Hilbert spaces
S. Volkwein
SIAM Journal on Control and Optimization, 38:767-785, 2000

1999

Control of Burgers' equation by a reduced order approach using proper orthogonal decomposition
K. Kunisch and S. Volkwein
Journal on Optimization Theory and Applications, 102:345-371, 1999

1997

Augmented Lagrangian-SQP techniques and their approximations
K. Kunisch and S. Volkwein
In S. Cox and I. Lasiecka, editors, Optimization Methods in Partial Differential Equations, volume 209 of Contemporary Mathematics, pages 147-159, 1997

Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation
S. Volkwein
Ph.D. Thesis, Department of Mathematics, TU Berlin, 1997

1993

Numerische Behandlung von absorbierenden Randbedingungen für hyperbolische Systeme
Diploma Thesis, Department of Mathematics, TU Berlin, 1993
S. Volkwein