


2017 Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach To appear in SIAM Journal on Control and Optimization, 2017 with A. Alla and M. Falcone PODbased multiobjective optimal control of PDEs with nonsmooth objectives Submitted, 2017 With D. Beermann, M. Dellnitz and S. Peitz PODbased mixedinteger optimal control of the heat equation Submitted, 2017 With F. Bachmann, D. Bermann and J. Lu Setoriented multiobjective optimal control of PDEs using proper orthogonal decomposition Submitted, 2017 with D. Beermann, M. Dellnitz and S. Peitz Optimization of hybrid multicarrier energy supply networks Submitted, 2017 with J. Lu, D. Beermann and D. König Personalized medicine: optimization of EPO dosing Submitted, 2017 with D. Fürtinger, F. Kappel, P. Kotanko and S. Rogg Trustregion POD using aposteriori error estimation for semilinear parabolic optimal control problems Technical Report, Konstanzer Schriften in Mathematik, No. 359, 2017 with S. Rogg and S. Trenz Mathematical Modeling and global optimization of hybrid energy supply networks Technical Report, Konstanzer Schriften in Mathematik, No. 358, 2017 with J. Lu and M. Bernreuther PODbased error control for reducedorder bicriterial PDEconstrained optimization Submitted, 2017 with S. Banholzer and D. Beermann POD basis updates for nonlinear PDE control at  Automatisierungstechnik, 65: 298307, 2017 with C. Gräßle, M. Gubisch, S. Metzdorf and S. Rogg Multiobjective PDEconstrained optimization using the reducedbasis method To appear in Advances in Computational Mathematics, 2017 with L. Iapichino and S. Ulbrich Proper orthogonal decomposition for linearquadratic optimal control In P. Benner, A. Cohen, M. Ohlberger, and K. Willcox (eds.), Model Reduction and Approximation: Theory and Algorithms. pages 566, SIAM, Philadelphia, PA, 2017 with M. Gubisch Aposteriori error estimation of discrete POD models for PDEconstrained optimal controls In P. Benner, M. Ohlberger, A.T. Patera, G. Rozza, and K. Urban (eds.), Model Reduction of Parametrized Systems, SpringerSeries Modeling, Simulation and Applications, 17:213234, 2017 with M. Gubisch and I. Neitzel 2016 Reducedorder multiobjective optimal control of semilinear parabolic problems Numerical Mathematics and Advanced Applications (ENUMATH 2015), Lecture Notes in Computational Science and Engineering, 112:389397, 2016 with L. Iapichino and S. Trenz PODbased bicriterial optimal control by the reference point method IFACPapersOnLine, 49:210215, 2016 with S. Banholzer and D. Beermann Aposteriori error analysis for lithiumion concentrations in batteries utilizing the reduced basis method Mathematical and Computer Modelling of Dynamical Systems, 22:362379, 2016 with L. Iapichino and A. Wesche 2015 Proper Orthogonal Decomposition zur Optimalsteuerung linearer partieller Differentialgleichungen In Elektrische Antriebe  Regelung von Antriebssystemen von Dirk Schröder, pp. 16581684, SpringerVerlag, 2015 Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE Advances in Computational Mathematics, 41:10731102, 2015 with A. Alla Optimality conditions and POD aposteriori error estimates for a semilinear parabolic optimal control Technical Report, Konstanzer Schriften in Mathematik, No. 345, 2015 with O. Lass and S. Trenz Numerical analysis of optimalitysystem POD for constrained optimal control Lecture Notes in Computational Science and Engineering, 105:297317, SpringerVerlag, 2015 with E. Grimm and M. Gubisch Parameter identification for nonlinear ellipticparabolic systems with application in lithiumion battery modeling Computational Optimization and Applications, 62:217239, 2015 with O. Lass Optimization strategy for parameter sampling in the reduced basis method IFACPapersOnLine, 48:707712, 2015 with L. Iapichino 2014 Reduced basis method for the Stokes equations in decomposable domains using greedy optimization ECMI 2014 proceedings, p. 17, ECMI book subseries of Mathematics in Industry, Heidelberg: Springer, 2014 with L. Iapichino, A. Quarteroni and G. Rozza Model order reduction for PDE constrained optimization 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 303326, Birkhäuser, Basel, 2014. with P. Benner and E. Sachs Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location Computational Optimization and Applications, 58:645677, 2014 with O. Lass POD aposteriori error analysis for optimal control problems with mixed controlstate constraints Computational Optimization and Applications, 58:619644, 2014 with M. Gubisch Greedy sampling using nonlinear optimization Proceedings of the CECAM Workshop on Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards realtime computing and visualization? In Reduced Order Methods for Modeling and Computational Reduction, A. Quarteroni and R. Rozza (eds.), pp. 137157, SpringerVerlag, 2014 with K. Urban and O. Zeeb 2013 Greedy sampling of distributed parameters in the reducedbasis method by numerical optimization with L. Iapichino A method of aposteriori error estimation with application to proper orthogonal decomposition ESAIM: Mathematical Modelling and Numerical Analysis, 47:555581, 2013 with E. Kammann and F. Tröltzsch An inverse scattering problem for the timedependent Maxwell equations: nonlinear optimization and modelorder reduction Numerical Linear Algebra with Applications, 20:689711, 2013 with R. Mancini POD Galerkin schemes for nonlinear ellipticparabolic systems SIAM Journal on Scientific Computing, 35(3):A1271A1298, 2013 with O. Lass Numerical analysis of POD aposteriori error estimation for optimal control 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. 137158, 2013 with A. Studinger The reduced basis method applied to transport equations of a lithiumion battery COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 32:17601772, 2013 with A. Wesche 2012 POD aposteriori error based inexact SQP method for bilinear elliptic optimal control problems ESAIM: Mathemematical Modelling and Numerical Analysis, 46:491511, 2012 with M. Kahlbacher Model reduction techniques with aposteriori error analysis for linearquadratic optimal control problems Numerical Algebra, Control and Optimization, 2:465485, 2012 with G. Vossen 2011 Optimality system POD and aposteriori error analysis for linearquadratic problems Control and Cybernetics, 40:11091125, 2011 Space mapping techniques for the optimization of a thickness parameter in the pLaplace equation Optimization Methods and Software, 26:617642, 2011 with O. Lass, C. Posch, and G. Scharrer Comparison of the reducedbasis and POD aposteriori estimators for an elliptic linearquadratic optimal control problem Mathematical and Computer Modelling of Dynamical Systems, Special Issue: Model order reduction of parameterized problems, 17:355369, 2011 with T. Tonn and K. Urban 2010 A space mapping approach for the pLaplace equation In Recent Advances in Optimization and its Applications in Engineering, Part 6, 399408, 2010 with O. Lass POD Galerkin approximations in PDEconstrained optimization GAMMMitteilungen, 33:194208, 2010 with E.W. Sachs Mathematical optimization of a plate volume under a pLaplace PDE constraint by using standard software The Int. J. of Multiphysics, 4:111, 2010 with G. Scharrer and T. Heubrandtner Optimal control of parameterdependent convectiondiffusion problems around rigid bodies SIAM J. Sci. Comput., 32:12371260, 2010 with T. Tonn and K. Urban Optimal snapshot location for computing POD basis functions ESAIM: Mathemematical Modelling and Numerical Analysis. 44:509529, 2010 with K. Kunisch Admittance identification from pointwise sound pressure measurements using reducedorder modelling Journal of Optimization Theory and Applications, 147:169193, 2010 2009 POD aposteriori error estimates for linearquadratic optimal control problems Computational Optimization and Applications, 44:83115, 2009 with F. Tröltzsch Meshindependence and preconditioning for solving control problems with mixed controlstate constraints ESAIM: Control, Optimisation and Calculus of Variations, 15:626652, 2009 with M. Hintermüller and I. Kopacka Estimation of regularization parameters in elliptic optimal control problems by POD model reduction In System Modelling and Optimization, A. Korytowski, K. Malanowski, W. Mitkowski, and M. Szymkat (eds.), 23rd IFIP TC 7 Conference, Cracow, Poland, July 2327, 2007, SpringerVerlag, Berlin, 307318, 2009 with M. Kahlbacher A globalized Newton method for the accurate solution of a dipole quantum control problem SIAM J. Sci. Comput. Volume 31:41764203, 2009 with G. von Winckel and A. Borzi 2008 Impedance identification by POD model reduction techniques atAutomatisierungstechnik, 8:437446, 2008 with A. Hepberger Receding horizon controller for the baroreceptor loop in a model for the cardiovascular system Cardiovascular Engineering, 8:1422, 2008 with M. Mutsaers, M. Bachar, J. Batzel, and F. Kappel Cascadic nonlinear conjugate gradient solution to finitelevel quantum optimal control problems Journal of Computational and Applied Mathematics, 216:170197, 2008 with A. Borzi and J. Salomon Proper orthogonal decomposition for optimality systems ESAIM: Mathemematical Modelling and Numerical Analysis, 42:123, 2008 with K. Kunisch A sequential quadratic programming method for volatility estimation in option pricing Journal on Optimization Theory and Applications, 139:515540, 2008 with A. Jüngel and B. Düring Error estimates for abstract linearquadratic optimal control problems using proper orthogonal decomposition Computational Optimization and Applications, 39:319345, 2008 with M. Hinze Objective vehicle dynamics evaluation of heavy commercial vehicles by means of model based parameter identifcation In FISITA 2008, World Automotive Congress, Munich, Germany, 2008 with K. Prenninger and W. Hirschberg Estimation of diffusion coefficients in a scalar GinzburgLandau equation by using model reduction 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.), SpringerVerlag, Heidelberg, 727734, 2008 with M. Kahlbacher 2007 Optimal control of the stationary quantum driftdiffusion model Communications in Mathematical Sciences, 5:85111, 2007 with A. Unterreiter Entwurf eines Sollwertgenerators für Fahrdynamikregelsysteme Proceedings zum 15. Steierisches Seminar für Regelungstechnik und Prozessautomatisierung, Schloss Retzhof, 2007 with S. Eitzinger, W. Hirschberg, and W. Rosinger A novel approach in vehicle dynamics. Parameter estimation of the nonlinear sideslip stiffness VDIBerichte 1990, Erprobung und Simulation in der Fahrzeugentwicklung, (ISBN 9783180919904), 13. VDIFachtagung, Würzburg, VDI Verlag GmbH, Düsseldorf, 359374, 2007 with W. Hirschberg and P. Prenninger Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems Discussiones Mathematicae: Differential Inclusions, Control and Optimization, 27:95117, 2007 with M. Kahlbacher Fast solution techniques in constrained optimal boundary control of the semilinear heat equation International Series of Numerical Mathematics, 155:119147, 2007 with F. Diwoky and M. Hintermüller Primaldual active set methods for optimal control problems with mixed controlstate and bilateral control constraints Technical Report IMA0407, University of Graz, 2007 with M. Hintermüller A semismooth Newton method for semilinear optimal control problems with controlstate and integralstate constraints Technical Report IMA0307, University of Graz, 2007 with M. Hintermüller and H. Müller 2006 SQP methods for parameter identification problems arising in hyperthermia Optimization Methods and Software, 21:869887, 2006 with T. Gänzler and M. Weiser Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming Linear Algebra and Its Applications, 415:542575, 2006 with F. Leibfritz Analysis and assessment of the sensitivity of trim parameters on SEA simulations for interior noise reduction Proceedings of the 13th International Congress on Sound and Vibration (ICSV), Vienna, Austria, 2006 with S. Brandl, I. Hauer, H.H. Priebsch, and T. Bartosch An algorithm for Galerkin projections in both time and spatial coordinates Proceedings of the Seventeenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, July 2428, 2006 with S. Weiland Impedance identification out of pressure datas with a hybrid measurementsimulation methodology up to 1kHz In Proceedings of International Conference on Noise and Vibration Engineering, Leuven, Belgium, 2006 with F. Diwoky, A. Hepberger, and H.H. Priebsch Model reduction by proper orthogonal decomposition for lambdaomega systems In Proceedings of European Conference on Computational Fluid Dynamics (ECCOMAS CFD), P. Wesseling, E. Onate, and J. Periaux (eds.), Egmont aan Zee, 2006 with M. Müller Model reduction by proper orthogonal decomposition for estimation of scalar parameters in elliptic PDEs In Proceedings of European Conference on Computational Fluid Dynamics (ECCOMAS CFD), P. Wesseling, E. Onate, and J. Periaux (eds.), Egmont aan Zee, 2006 with M. Kahlbacher Parametric sensitivity analysis for optimal boundary control of a 3D reactiondiffusion system LargeScale Nonlinear Optimization. Series Nonconvex Optimization and Its Applications, Di Pillo and M. Roma (eds), SpringerVerlag, Berlin, 83:127149, 2006 with R. Griesse Numerical feedback controller design for PDE systems using model reduction: techniques and case studies In L. Biegler and O. Ghattas and M. Heinkenschloss and D. Keyes and B. van Bloemen Waanders (eds.), RealTime PDEConstrained Optimization, SIAM, 2006 with F. Leibfritz 2005 Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control In Reduction of LargeScale Systems, P. Benner, V. Mehrmann, D. C. Sorensen (eds.), Lecture Notes in Computational Science and Engineering, Vol. 45, 261306, 2005 with M. Hinze A primaldual active set strategy for optimal boundary control of a nonlinear reactiondiffusion system SIAM Journal on Control and Optimization, 44:467494, 2005 with R. Griesse 2004 HJBPOD based feedback design for the optimal control of evolution problems SIAM Journal on Applied Dynamical Systems, 3:701722, 2004 with K. Kunisch and L. Xie Online identification of hemodynamic variables by dilution off ultrapure dialysate during hemodialysis Cardiovascular Engineering, 4:3946, 2004 with J. Wimmer, F. Kappel, B. Haditsch, H. Holzer, and D. Schneditz Dynamical system based optimal control of incompressible fluids International Journal for Numerical Methods in Fluids, 46:345359, 2004 with M. Hintermüller, K. Kunisch, and Y. Spasov Nonlinear conjugate gradient methods for the optimal control of laser surface hardening Optimization Methods and Software, 18:179199, 2004 Condition number of the stiffness matrices arising in POD Galerkin schemes for dynamical systems PAMM Proc. Appl. Math. Mech., 4, 3942, 2004 Optimal control strategies for the surface hardening of steel 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.), 120:325335, 2004 with D. Hömberg and W. Wolf A semismooth Newton method for optimal boundary control of a nonlinear reactiondiffusion system Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium, July 59, 2004 with R. Griesse Interpretation of proper orthogonal decomposition as singular value decomposition and HJBbased feedback design Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium, July 59, 2004 2003 LagrangeSQP techniques for the control constrained optimal boundary control problems for the Burgers equation Computational Optimization and Applications, 26:253284, 2003 Control of laser surface hardening by a reducedorder approach using proper orthogonal decomposition Mathematical and Computer Modeling, 38:10031028, 2003 with D. Hömberg Laser surface hardening using proper orthogonal decomposition for a threedimensional example PAMM Proc. Appl. Math. Mech., 3, 14, 2003 with D. Hömberg Upwind techniques and mixed finite elements for the steadystate Burgers equation SFBPreprint No. 278, 2003 Some remarks on augmented LagrangeNewton SQP methods SFBPreprint No. 256, 2003 Optimal control of laser surface hardening by utilizing a nonlinear primaldual active set strategy SFBPreprint No. 277, 2003 A globalized SQP method for the optimal control of laser surface hardening SFBPreprint No. 272, 2003 2002 Analysis of instantaneous control for the Burgers equation. Nonlinear Analysis  Theory and Methods and Applications, 50:126, 2002 with M. Hinze Meshindependence of LagrangeSQP methods with Lipschitzcontinuous Lagrange multiplier updates Optimization Methods and Software, 17:77111, 2002 Augmented LagrangeSQP methods with Lipschitzcontinuous Lagrange multiplier updates SIAM Journal on Numerical Analysis, 40:233253, 2002 with E. Sachs Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics SIAM Journal on Numerical Analysis, 40:492515, 2002 with K. Kunisch Affine invariant convergence analysis for inexact augmented LagrangianSQP mehods SIAM Journal on Control and Optimization, 41:875899, 2002 with M. Weiser CrankNicolson Galerkin proper orthogonal decomposition approximations for a general equation in fluid dynamics 18th GAMM Seminar on Multigrid and related methods for optimization problems, Leipzig, 97114, 2002 with K. Kunisch 2001 Optimal control of a phasefield model using proper orthogonal decomposition Zeitschrift für Angewandte Mathematik und Mechanik, 81:8397, 2001 Distributed control problems for the Burgers equation Computational Optimization and Applications, 18:115140, 2001 The SQP method for control constrained optimal control of the Burgers equation ESAIM: Control, Optimisation and Calculus of Variations, 6:649674, 2001 with F. Tröltzsch Galerkin proper orthogonal decomposition methods for parabolic problems Numerische Mathematik, 90:117148, 2001 with K. Kunisch Secondorder conditions for boundary control problems of the Burgers equation Control and Cybernetics, 30:249278, 2001 Nonlinear boundary control for the heat equation utilizing proper orthogonal decomposition In K.H. Hoffmann, R. H. W. Hoppe, V. Schulz, editors, Fast Solution of Discretized Optimization Problems, International Series of Numerical Mathematics, 138:7387, 2001 with F. Diwoky Boundary control of the Burgers equation: optimality conditions and reducedorder approach In K.H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, and F. Tröltzsch, editors, Optimal Control of Complex Structures, International Series of Numerical Mathematics, 139:267278, 2001 Optimal and suboptimal control of partial differential equations: augmented LagrangeSQP methods and reducedorder modeling with proper orthogonal decomposition Habilitation Thesis, KarlFranzens Universität Graz, 2001 2000 Application of the augmented LagrangianSQP method to optimal control problems for the stationary Burgers equation Computational Optimization and Applications, 16:5781, 2000 Meshindependence for an augmented LagrangianSQP method in Hilbert spaces SIAM Journal on Control and Optimization, 38:767785, 2000 1999 Control of Burgers' equation by a reduced order approach using proper orthogonal decomposition Journal on Optimization Theory and Applications, 102:345371, 1999 with K. Kunisch 1997 Augmented LagrangianSQP techniques and their approximations In S. Cox and I. Lasiecka, editors, Optimization Methods in Partial Differential Equations, volume 209 of Contemporary Mathematics, pages 147159, 1997 with K. Kunisch Meshindependence of an augmented LagrangianSQP method in Hilbert spaces and control problems for the Burgers equation Ph.D. Thesis, Fachbereich mathematik, TU Berlin, 1997 1993 Numerische Behandlung von absorbierenden Randbedingungen für hyperbolische Systeme Diploma Thesis, Fachbereich mathematik, TU Berlin, 1993 