
Prof. Dr. Stefan Ulbrich
Optimierung
Arbeitsgebiet(e)
Kontakt
ulbrich@mathematik.tu-...
work +49 6151 16-23430
fax +49 6151 16-23445
Work
S4|10 123
Dolivostraße 15
64293
Darmstadt
Sprechstunde
Sprechstunde:
Mittwoch 16-17 Uhr in S4|10 123
Forschung
- Nichtlineare Optimierung
- Optimalsteuerung von partiellen Differentialgleichungen
- Wissenschaftliches Rechnen in Optimierung und Optimalsteuerung
Editorial Boards
- Editor in Chief der Zeitschrift Optimization Methods and Software
- Associate Editor (2026 –) SIAM Journal on Control and Optimization
- Associate Editor (2008 – 2020) SIAM Journal on Optimization
- Associate Editor Journal of Optimization Theory and Applications
- Associate Editor ESAIM: Control, Optimisation and Calculus of Variations
- Associate Editor Asymptotic Analysis
- Associate Editor SIAM/MOS Books Series on Optimization
- Associate Editor Advances in Continuous and Discrete Models: Theory and Applications
- Associate Editor Journal of Scientific Computing
- P. Gangl, T. Komann, N. Krenn, S. Ulbrich: Robust Topology Optimization of Electric Machines using Topological Derivatives, Preprint, 2025, arXiv:2504.05070
- A.-T. Rauls-Ehlert, S. Ulbrich: Error Estimates for Finite Element Approximations of Subgradients of Objective Functions in Optimal Control of the Obstacle Problem, Preprint, TU Darmstadt, 2024, submitted.
(wird in neuem Tab geöffnet) PDF - M. Wiesheu, T. Komann, M. Merkel, S. Schöps, S. Ulbrich, I. Cortes Garcia: , Optim. Eng. 26, 1011–1038, 2025. Combined parameter and shape optimization of electric machines with isogeometric analysis https://doi.org/10.1007/s11081-024-09925-0
- M. Kaltenbacher, A. Gschwentner, B. Kaltenbacher, S. Ulbrich, A. Reinbacher-Köstinger: , Mathematics , 12(10), 1586, 2024 Inverse Scheme to Locally Determine Nonlinear Magnetic Material Properties: Numerical Case Study
- T. Komann, M. Wiesheu, S. Ulbrich, S. Schöps: , Mathematics 12(9), 1299, 2024 Robust Design Optimization of Electric Machines with Isogeometric Analysis
- P. Schäfer Aguilar, S. Ulbrich: Convergence of numerical adjoint schemes arising from optimal boundary control problems of hyperbolic conservation laws, Preprint, TU Darmstadt, 2024, to appear in SIAM J. Control Optim.
(wird in neuem Tab geöffnet) PDF - J. Hahne, B. Polenz, I. Kulchytska-Ruchka, S.Friedhoff, S. Ulbrich, S. Schöps: . J.Math.Industry 13 (6), 2023 Parallel-in-time optimization of induction motors
PDF - E. Diehl, J. Haubner, M. Ulbrich, S. Ulbrich: , Comput Optim Appl, 2022. Differentiability results and sensitivity calculation for optimal control of incompressible two-phase Navier-Stokes equations with surface tension https://doi.org/10.1007/s10589-022-00415-6
PDF - C. Tepper, A. Matei, J. Zarges, S. Ulbrich, M. Weigold: . Prod. Eng. Res. Devel. 17, 643–651, 2023. Optimal design for compliance modeling of industrial robots with Bayesian inference of stiffnesses
PDF - M. Herty, S. Ulbrich: , Handbook of Numerical Analysis, E. Trélat, E. Zuazua (eds.),Elsevier, Volume 24, 473-509, 2023. Numerics and control of conservation laws
- E. Corbean, J. Neumann, F. Dammel, P. Stephan, S. Ulbrich: , Proceedings of ECOS 2023 – 25-30 June 2023, 1287-1298, 2023. Techno-Economic Optimization of an Innovative Plant for Sustainable Iron Reduction
PDF - P. Manns, S. Ulbrich: , SIAM J. Numer. Anal. 60 (5), 2373-3000, 2022. A simplified Newton method to generate snapshots for POD models of semilinear optimal control problems
PDF - A.-T. Rauls, S. Ulbrich: , SIAM J. Control Optim. 59 (5), 3683–3707, 2021. On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem
PDF - J. M. Schmitt, S. Ulbrich: , SIAM J. Control Optim. 59 (2), 1341–1369, 2021. Optimal Boundary Control of Hyperbolic Balance Laws with State Constraints
PDF - C. Kirches, P. Manns, S. Ulbrich: , Math. Program. 188 (2), 569–598, 2021 Compactness and Convergence Rates in the Combinatorial Integral Approximation Decomposition
PDF - T. Gally, P. Groche, F. Hoppe, A. Kuttich, A. Matei, M. E. Pfetsch, M. Rakowitsch, S. Ulbrich: , Optim. Eng. 23 (1), 579–606, 2022. Identification of Model Uncertainty via Optimal Design of Experiments Applied to a Mechanical Press
(wird in neuem Tab geöffnet) PDF - L. Hertlein, A.-T. Rauls, M. Ulbrich, S. Ulbrich: An inexact bundle method and subgradient computations for optimal control of deterministic and stochastic obstacle problems. In: M. Hintermüller et al. (eds.), Internat. Ser. Numer. Math., 172, Birkhäuser/Springer, Cham, 2022.
(wird in neuem Tab geöffnet) PDF - J. Haubner, M. Ulbrich, S. Ulbrich: , Inverse Problems 36 (3), 034001, 2020 Analysis of shape optimization problems for unsteady fluid-structure interaction
(wird in neuem Tab geöffnet) PDF - A.-T. Rauls, S. Ulbrich: , SIAM J. Control Optim. 57(5), 3223–3248, 2019. Computation of a Bouligand generalized derivative for the solution operator of the obstacle problem
(wird in neuem Tab geöffnet) PDF - P. Schäfer Aguilar, J. M. Schmitt, S. Ulbrich, M. Moos: On the numerical discretization of optimal control problems for conservation laws, Control and Cybernetics 48(2), 345-376, 2019 (special issue for Günter Leugering)
(wird in neuem Tab geöffnet) PDF - T. Burggraf, M. Joswig, M. Pfetsch, M. Radons, S. Ulbrich: , Optim. Eng. 21, 73–106, 2020 Semi-automatically optimized calibration of internal combustion engines
(wird in neuem Tab geöffnet) PDF - O. Habeck, M. E. Pfetsch, S. Ulbrich: , SIAM J. Optim. 29, no. 4, pp. 2949-2985, 2019 Global optimization of mixed-integer ODE constrained network problems using the example of stationary gas transport
(wird in neuem Tab geöffnet) PDF - A. Alla, M. Hinze, P. Kolvenbach, O. Lass, S. Ulbrich: , Adv. Comp. Math. 45, 1221–1250, 2019 A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints
(wird in neuem Tab geöffnet) PDF - I. G. Ion, Z. Bontinck, D. Loukrezis, U. Römer, O. Lass, S. Ulbrich, S. Schöps, H. De Gersem: , Electr. Eng. 100 (2018), pp. 2635-2647. Robust shape optimization of electric devices based on deterministic optimization methods and finite-element analysis with affine parametrization and design elements
(wird in neuem Tab geöffnet) PDF - P. Kolvenbach, O. Lass, S. Ulbrich: . Optim. Eng. 19 (2018), no. 3, pp. 697-731. An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty
- S. Hajian, M. Hintermüller, S. Ulbrich: , IMA J. Numer. Anal. 39 (2019), no. 1, pp. 105-140 Total variation diminishing schemes in optimal control of scalar conservation laws
(wird in neuem Tab geöffnet) PDF - M. Fischer, F. Lindemann, M. Ulbrich, S. Ulbrich: , SIAM J. Control Optim. 55 (2017), no. 5, pp. 3226–3257 Fréchet Differentiability of Unsteady Incompressible Navier-Stokes Flow with Respect to Domain Variations of Low Regularity by Using a General Analytical Framework
(wird in neuem Tab geöffnet). PDF - O. Lass, S. Ulbrich: , SIAM J. Sci. Comput. 39 (2017), no. 5, pp. S112–S139. Model Order Reduction Techniques with A Posteriori Error Control for Nonlinear Robust Optimization Governed by Partial Differential Equations
(wird in neuem Tab geöffnet). PDF - T. Gally, M.E. Pfetsch, S. Ulbrich, , Optimization Methods and Software 33 (2018), no. 3, pp. 594-632. A Framework for Solving Mixed-Integer Semidefinite Programs
(wird in neuem Tab geöffnet). PDF - M. Gugat, S. Ulbrich: . Math. Models Methods Appl. Sci.28 (2018), no. 05, pp. 921-951. Lipschitz solutions of initial boundary value problems for balance laws
(wird in neuem Tab geöffnet). PDF - M. Gugat, S. Ulbrich: , Journal of Mathematical Analysis and Applications 454 (1), pp. 439-452, 2017. The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up
(wird in neuem Tab geöffnet). PDF - L. Iapichino, S. Ulbrich, S. Volkwein: , Adv Comput Math 43 (5), pp 945–972, 2017. Multiobjective PCE-Constrained Optimization using the Reduced-Basis Method
(wird in neuem Tab geöffnet). PDF - M. Ulbrich, S. Ulbrich, D. Bratzke: A Multigrid Semismooth Newton Method for Semilinear Contact Problems, Journal of Computational Mathematics 35 (4), pp. 484-526, 2017.
(wird in neuem Tab geöffnet). PDF - S. Ulbrich, J. C. Ziems: Adaptive Multilevel Trust-Region Methods for Time-Dependent PDE-Constrained Optimization, Portugaliae Mathematica 74 (1), pp. 37-67, 2017 (invited special issue on PDE-constrained optimization).
(wird in neuem Tab geöffnet). PDF - S. Pfaff, S. Ulbrich, , Optimization Methods and Software, DOI 10.1080/10556788.2016.1236796, 2016. Optimal Control of Nonlinear Hyperbolic Conservation Laws by On/Off-Switching
(wird in neuem Tab geöffnet). PDF - S. Ulbrich, Preconditioners based on „Parareal“ time-domain decomposition for time-dependent PDE-constrained optimization, Multple Shooting and time domain decomposition methods (T. Carraro, M. Geiger. S. Körkel, R. Rannacher (Eds.)), pp. 203-232, Springer, 2015
(wird in neuem Tab geöffnet). PDF - J. Euler, T. Ritter, S. Ulbrich, O. von Stryk, Centralized ensemble-based trajectory planning of cooperating sensors for estimating atmospheric dispersion processes, First International Conference, DyDESS 2014, Cambridge, MA, USA, November 5-7, 2014, Revised Selected Papers, (S. Ravela, A. Sandu (Eds.)), pp. 322-333, Springer, 2015
- F. Bäcker, D. Bratzke, P. Groche, S. Ulbrich, , The International Journal of Advanced Manufacturing Technology 80 (5), pp 817–828, 2015. Time-varying process control for stringer sheet forming by a deterministic derivative-free optimization approach
- S. Pfaff, S. Ulbrich, , SIAM J. on Control and Optimization 53 (3), pp. 1250–1277, 2015. Optimal Boundary Control of Nonlinear Hyperbolic Conservation Laws with Switched Boundary Data
(wird in neuem Tab geöffnet). PDF - S. Pfaff, S. Ulbrich and G. Leugering, Optimal control of nonlinear hyperbolic conservation laws with switching, In: G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (eds.). Trends in PDE Constrained Optimization. Springer International Publishing, Int. Ser. Numer. Math. 165, pp. 109-131, 2014.
(wird in neuem Tab geöffnet). PDF - S. Bott, D. Clever, J. Lang, S. Ulbrich, J. C. Ziems and D. Schröder, On a Fully Adaptive SQP Method for PDAE-Constrained Optimal Control Problems with Control and State Constraints, In: G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich (eds.). Trends in PDE Constrained Optimization. Springer International Publishing, Int. Ser. Numer. Math. 165, pp. 85-108, 2014.
- A. Schiela, S. Ulbrich, , SIAM J. on Optimization 24, pp. 435-466, 2014. Operator Preconditioning for a Class of Inequality Constrained Optimal Control Problems
(wird in neuem Tab geöffnet). PDF - J. Ghiglieri, S. Ulbrich: , Optimization Methods and Software 29 (5), pp. 1042-1074, 2014. Optimal Flow Control Based on POD and MPC and an Application to the Cancellation of Tollmien-Schlichting Waves
(wird in neuem Tab geöffnet). PDF - R. Roth, S. Ulbrich, , Flow, Turbulence and Combustion, 90 (4), pp 763-783, 2013. A Discrete Adjoint Approach for the Optimization of Unsteady Turbulent Flows
(wird in neuem Tab geöffnet). PDF - P. Groche, W. Schmitt, A. Bohn, S. Gramlich, S. Ulbrich, U. Günther, Integration of manufacturing-induced properties in product design, CIRP Annals – Manufacturing Technology 61, pp. 163–166, 2012.
(wird in neuem Tab geöffnet). PDF - W. Hess, S. Ulbrich, , Optimization Methods an Software 28 (5), pp. 943-968, 2013. An Inexact l1 Penalty SQP Algorithm for PDE Constrained Optimization with an Application to Shape Optimization in Linear Elasticity
(wird in neuem Tab geöffnet). PDF - J. C. Ziems, S. Ulbrich, , SIAM J. on Optimization 21, pp. 1-40, 2011. Adaptive Multilevel Inexact SQP--Methods for PDE--constrained Optimization
(wird in neuem Tab geöffnet). PDF - S. Drewes, S. Ulbrich, Subgradient Based Outer Approximation for Mixed Integer Second Order Cone Programming, to appear in Mixed-Integer Nonlinear Optimization: Algorithmic Advances and Applications (J. Lee, S. Leyffer eds.), IMA Volume Series, Springer, 2012.
(wird in neuem Tab geöffnet). PDF - M.B. Giles, S. Ulbrich: Convergence of Linearised and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approximations and Extensions, SIAM J. on Numerical Analysis 48, pp. 905-921, 2010.
(wird in neuem Tab geöffnet). PDF - M.B. Giles, S. Ulbrich: , SIAM J. on Numerical Analysis 48, pp. 882-904, 2010. Convergence of Linearised and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 1: Linearised Approximations and Linearised Output Functionals
(wird in neuem Tab geöffnet). PDF - D. Clever, J. Lang, S. Ulbrich, J. C. Ziems, , Procedia Computer Science 1, pp. 1429–1437, 2010. Combination of an Adaptive Multilevel SQP Method and a Space-Time Adaptive PDAE Solver for Optimal Control Problems
- S. Drewes, S. Ulbrich, Mixed Integer Second Order Cone Programming, Technical Report, TU Darmstadt, 2009.
(wird in neuem Tab geöffnet). PDF - Ch. Brandenburg, F. Lindemann, M. Ulbrich, S. Ulbrich, A Continuous Adjoint Approach to Shape Optimization for Navier Stokes Flow. In: K. Kunisch, G. Leugering, J. Sprekels and F. Tröltzsch (eds.). Optimal Control of Coupled Systems of Partial Differential Equations. Birkäuser Verlag, Int. Ser. Numer. Math. 158, pp. 35-56, Basel, 2009.
(wird in neuem Tab geöffnet). PDF - R. Silva, M. Ulbrich, S. Ulbrich, L.N. Vicente: A Globally Convergent Primal-Dual Interior-Point Filter Method for Nonlinear Programming: New Filter Optimality Measures and Computational Results, Technical Report, TU Darmstadt, 2008.
(wird in neuem Tab geöffnet). PDF - M. Ulbrich, S. Ulbrich: , Math. Program. 117, pp. 435-485, 2009. Primal-Dual Interior-Point Methods for PDE-Constrained Optimization
(wird in neuem Tab geöffnet). PDF - S. Ulbrich: Generalized SQP-Methods with ''Parareal'' Time-Domain Decomposition for Time-dependent PDE-constrained Optimization. In: Real-Time PDE-Constrained Optimization, Edited by L. T. Biegler, O. Ghattas, M. Heinkenschloss, D. Keyes, and B. van Bloemen Waanders, pp. 145-168, SIAM, 2007.
(wird in neuem Tab geöffnet). PDF - A. Anderl, M. Kormann, T. Rollmann, Z. Wu, A. Martin, S. Ulbrich, U. Günther: An Approach to Algorithm-Based Design in Product Development, Konstruktion 5, 79-82, 2007.
- A. Fügenschuh, W. Hess, A. Martin, S. Ulbrich: Diskrete und kontinuierliche Modelle zur Topologie- und Geometrie-Optimierung von Blechprofilen, Tagungsband 1. Zwischenkolloqium SFB 666, Meisenbach Verlag, Bamberg, 37-47, 2007.
- H. Birkhofer, A. Fügenschuh, U. Günther, D. Junglas, A. Martin, T. Sauer, S. Ulbrich, M. Wäldele, and S. Walter: , Operations Research Proceedings 2005, pp. 327-336, Springer, 2006. Optimization of Sheet Metal Products
- S. Ulbrich: , Mathematical Programming Ser. B, Vol. 100 (2004), pp. 217-245 (Special Issue for Roger Fletcher). On the Superlinear Local Convergence of a Filter-SQP Method
Abstract, (wird in neuem Tab geöffnet). PDF - M. Ulbrich, S. Ulbrich, and L. N. Vicente: , Mathematical Programming Ser. A (2004), Vol. 100, pp. 379-410. A Globally Convergent Primal-Dual Interior-Point Filter Method for Nonlinear Programming
Abstract, (wird in neuem Tab geöffnet). PDF - S. Ulbrich: , Systems & Control Letters Vol. 48 (2003), No. 3-4, pp. 309-324, Adjoint-Based Derivative Computations for the Optimal Control of Discontinuous Solutions of Hyperbolic Conservation Laws (wird in neuem Tab geöffnet). PDF Preprint
- M. Ulbrich and S. Ulbrich: , Math. Program. Ser. B Vol. 95 (2003), pp. 103--135. Non-monotone Trust Region Methods for Nonlinear Equality Constrained Optimization without a Penalty Function
- S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and S. Ulbrich: , International Journal of Numerical Methods in Fluids, Vol. 40 (2002), No. 11, pp. 1401-1429. Optimal Control of Unsteady Compressible Viscous Flows
- S. Ulbrich: . SIAM Journal on Control and Optimization, Vol. 41 (2002), No. 3, pp. 740-797. A Sensitivity and Adjoint Calculus for Discontinuous Solutions of Hyperbolic Conservation Laws with Source Terms
- S. Ulbrich: Optimal Control of Nonlinear Hyperbolic Conservation Laws with Source Terms, Habilitation, Fakultät für Mathematik, Technische Universität München, submitted June 2001, accepted January 2002.
- S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and S. Ulbrich: Towards Adjoint-Based Methods for Aeroacoustic Control, AIAA Paper 2001-0821.
Abstract, (wird in neuem Tab geöffnet). PDF - S. S. Collis, K. Ghayour, M. Heinkenschloss, M. Ulbrich, and S. Ulbrich: Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equations, In: K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, F. Tröltzsch (eds.), Optimal Control of Complex Structures (Oberwolfach, June 2000), Birkhäuser Verlag, Int. Ser. Numer. Math. 139, 2001.
Abstract, (wird in neuem Tab geöffnet). PDF - M. Ulbrich and S. Ulbrich: , SIAM Journal on Control and Optimization, Vol. 38 (2000), No. 6, pp. 1938-1984. Superlinear Convergence of Affine-Scaling Interior-Point Newton Methods for Infinite-Dimensional Nonlinear Problems with Pointwise Bounds
- M. Heinkenschloss, M. Ulbrich, and S. Ulbrich: , Mathematical Programming, Ser. A, Vol. 86 (1999), No. 3, pp. 615-635. Superlinear and Quadratic Convergence of Affine-Scaling Interior-Point Newton Methods for Problems with Simple Bounds without Strict Complementarity Assumption
- S. Ulbrich: On the Existence and Approximation of Solutions for the Optimal Control of Nonlinear Hyperbolic Conservation Laws, In: K.-H. Hoffmann, G. Leugering and F. Tröltzsch (eds.). Optimal Control of Partial Differential Equations, IFIP International Conference in Chemnitz, Germany, April 20-25, 1998. Birkäuser Verlag, Int. Ser. Numer. Math. 133, pp. 287-299, Basel, Boston, 1999.
- M. Ulbrich, S. Ulbrich, and M. Heinkenschloss: , SIAM Journal on Control and Optimization, Vol. 37 (1999), No. 3, pp. 731-764. Global Convergence of Trust-region Interior-point Algorithms for Infinite-dimensional Nonconvex Minimization Subject to Pointwise Bounds
- S. Ulbrich: Stable Boundary Conditions and Implicit Entropy-Dissipative Numerical Schemes for Initial-Boundary-Value-Problems of Multidimensional Nonlinear Systems of Conservation Laws with Entropy , (German), Ph.D. Thesis, Inst. für Angew. Math. u. Stat., Technische Universität München, 1996.
- M. Ulbrich and S. Ulbrich: Automatic Differentiation: A Structure-Exploiting Forward Mode with Almost Optimal Complexity for Kantorovic Trees, In: H. Fischer, B. Riedmüller, and S. Schäffler (eds.), Applied Mathematics and Parallel Computing, pp. 327-357, Physica-Verlag, Heidelberg, 1996, . PDF
- M. Rempter, M. Ulbrich, S. Ulbrich, M. Pfingstl, R. Schöne, W. Schultz, and J. Kout: User's Guide for the Transputer Workstation, Copernicus Joint Research Project Report No. 9601, Technische Universität München, 1996.
- M. Ulbrich and S. Ulbrich: Development of Parallel C-Programs with 'Channels for C' (CfC), Copernicus Joint Research Project Report No. 9506, Technische Universität München, 1995.
Aktuelle Projekte
Abgeschlossene Projekte

: SFB 666 „Integral sheet metal design with higher order bifurcations – Developement, Production, Evaluation“
- Projekt A2: Mathematische Modelle zur automatisierten Produktentwicklung (M Pfetsch, S. Ulbrich).
- Projekt A6: Simulationsbasierte Optimierungsverfahren für das Tifeziehen verzweigter Strukturen

DFG-Schwerpunktprogramm SPP 1253 „Optimization with partial differential equations“
- Projekt Optimal control of switched networks for nonlinear hyperbolic conservation laws (G. Leugering, S. Ulbrich).
- Projekt Adaptive multilevel SQP-methods for PDAE-constrained optimization with restrictions on control and state. Theory and Applications (J. Lang, S. Ulbrich).

SFB 568 „Strömung und Verbrennung in zukünftigen Gasturbinenbrennkammern“
- Projekt D5: Efficient Multilevel Methods for the Optimization of Combustion Chambers (S. Ulbrich).

Fachbezogene Partnerschaften mit Hochschulen in Entwicklungsländern
- Projekt: Optimierungstheorie, Methoden und Anwendungen, Hochschulpartnerschaft mit Institute for Applied Mathematics, Middle East Technical University, Ankara, Turkey.