Publications of Michael Ulbrich

J. Milz and M. Ulbrich: An Approximation Scheme for Distributionally Robust PDE-Constrained Optimization , Preprint No. IGDK-2020-09, Technische Universität München, 2020. (submitted for publication)

J. Milz and M. Ulbrich: An Approximation Scheme for Distributionally Robust Nonlinear Optimization, SIAM J. Optim., 30:3 (2020), pp. 1996-2025.

J. Haubner, M. Siebenborn, M. Ulbrich: A Continuous Perspective on Modeling of Shape Optimal Design Problems , Preprint arXiv:2004.06942, 2020.

J. Haubner, M. Ulbrich, and S. Ulbrich: Analysis of Shape Optimization Problems for Unsteady Fluid-Structure Interaction , Inverse Problems 36 (2020) 034001 (38pp).

L. Hertlein, A.-T. Rauls, M. Ulbrich, and S. Ulbrich: An Inexact Bundle Method and Subgradient Computations for Optimal Control of Deterministic and Stochastic Obstacle Problems, Preprint, Technische Universität München, 2019. (accepted for publication)

A. Milzarek, X. Xiao, S. Cen, Z. Wen, and M. Ulbrich: A Stochastic Semismooth Newton Method for Nonsmooth Nonconvex Optimization , SIAM J. Optim., 55:5 (2019), pp. 3226–3257.

L. Hertlein and M. Ulbrich: An Inexact Bundle Algorithm for Nonconvex Nondifferentiable Functions in Hilbert Space , SIAM J. Control Optim., 29:4 (2019), pp. 2916-2948.

S. Garreis and M. Ulbrich: A Fully Adaptive Method for the Optimal Control of Semilinear Elliptic PDEs Under Uncertainty Using Low-Rank Tensors, Preprint, Technische Universität München, 2019. (submitted for publication)

S. Garreis and M. Ulbrich: An Inexact Trust-Region Algorithm for Constrained Problems in Hilbert Space and Its Application to the Adaptive Solution of Optimal Control Problems with PDEs, Preprint, Technische Universität München, 2019. (submitted for publication)

S. Garreis, T. M. Surowiec, and M. Ulbrich: An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures, Preprint, Technische Universität München, 2019. (submitted for publication)

P. Jarde and M. Ulbrich: Existence of Minimizers for Optical Flow Based Optimal Control Problems under Mild Regularity Assumptions, Preprint, 2019. (to appear in Control & Cybernetics, 2020)

B. van Bloemen Waanders and M. Ulbrich: An Introduction to Partial Differential Equations Constrained Optimization , Optim. Eng., 19:3 (2018), pp. 515-520.

M. Fischer, F. Lindemann, M. Ulbrich, and S. Ulbrich: Fréchet Differentiability of Unsteady Incompressible Navier-Stokes Flow with Respect to Domain Variations of Low Regularity by Using a General Analytical Framework , SIAM J. Control Optim., 55:5 (2017), pp. 3226–3257.

M. Ulbrich, S. Ulbrich, and D. Bratzke: A Multigrid Semismooth Newton Method for Semilinear Contact Problems , J. Comp. Math., 35:4 (2017), pp. 486-528. (download preprint)

S. Garreis and M. Ulbrich: Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs , SIAM J. Sci. Comput., 39:1 (2017), pp. A25–A54. (download preprint)

S. Albrecht and M. Ulbrich: Mathematical Programs with Complementarity Constraints in the Context of Inverse Optimal Control for Locomotion , Optim. Methods Softw., 32:4 (2017), pp. 670-698. (download preprint)

F. Deroo, M. Meinel, M. Ulbrich, and S. Hirche: Distributed Stability Tests for Large-Scale Systems with Limited Model Information , IEEE Transactions on Networked Control Systems, 2:3 (2015), pp. 298-309.

M. Ulbrich, Z. Wen, C. Yang, D. Klöckner, and Z. Lu: A Proximal Gradient Method for Ensemble Density Functional Theory , SIAM J. Sci. Comput., 37:4 (2015), pp. A1975–A2002.

C. Böhm and M. Ulbrich: A Semismooth Newton-CG Method for Constrained Parameter Identification in Seismic Tomography , SIAM J. Sci. Comput., 37:5 (2015), pp. S334–S364. (download preprint)

X. Liu, Z. Wen, X. Wang, M. Ulbrich, and Y. Yuan: On the Analysis of the Discretized Kohn-Sham Density Functional Theory , SIAM J. Numer. Anal., 53:4 (2015), pp. 1758–1785.

M. Keuthen and M. Ulbrich: Moreau-Yosida Regularization in Shape Optimization with Geometric Constraints , Comput. Optim. Appl., 62:1 (2015), pp. 181-216.

F. Kruse and M. Ulbrich: A Self-Concordant Interior Point Approach for Optimal Control with State Constraints , SIAM J. Optim., 25:2 (2015), pp. 770–806.

M. Simon and M. Ulbrich: Adjoint Based Optimal Control of Partially Miscible Two-Phase Flow in Porous Media with Applications to CO_2 Sequestration in Underground Reservoirs , Optimization and Engineering, 16:1 (2015), pp. 103-130. (download preprint)

A. Milzarek and M. Ulbrich: A Semismooth Newton Method with Multi-Dimensional Filter Globalization for l_1-Optimization , SIAM J. Optim., 24:1 (2014), pp. 298–333.

F. Deroo, M. Meinel, M. Ulbrich, and S. Hirche: Distributed Control Design with Local Model Information and Guaranteed Stability. 19th IFAC World Congress, 2014.

M. Meinel, M. Ulbrich, and S. Albrecht: A Class of Distributed Optimization Methods with Event-Triggered Communication , Comput. Optim. Appl., 57:3 (2014), pp 517-553. (download preprint)

M. Ulbrich, S. Ulbrich, and D. Koller: A Multigrid Semismooth Newton Method for Contact Problems in Linear Elasticity, Preprint, Fakultät für Mathematik, Technische Universität München, submitted, 2013.

Z. Wen, A. Milzarek, M. Ulbrich, and H. Zhang: Adaptive Regularized Self-Consistent Field Iteration with Exact Hessian for Electronic Structure Calculation , SIAM J. Sci. Comput., 35:3 (2013), pp. A1299–A1324.

J. Benk, H.-J. Bungartz, M. Mehl, and M. Ulbrich: Immersed Boundary Methods for Fluid-Structure Interaction and Shape Optimization within an FEM-based PDE Toolbox. In: M. Bader, H.-J. Bungartz, T. Weinzierl (eds.), Advanced Computing, Lecture Notes in CSE, vol. 93, Springer, 2013.

M. Simon and M. Ulbrich: Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO_2 Sequestration. In: M. Bader, H.-J. Bungartz, T. Weinzierl (eds.), Advanced Computing, Lecture Notes in CSE, vol. 93, Springer, 2013.

C. Böhm and M. Ulbrich: A Newton-CG Method for Full-Waveform Inversion in a Coupled Solid-Fluid System. In: M. Bader, H.-J. Bungartz, T. Weinzierl (eds.), Advanced Computing, Lecture Notes in CSE, vol. 93, Springer, 2013.

F. Deroo, M. Ulbrich, B. D. O. Anderson, and S. Hirche: Accelerated Iterative Distributed Controller Synthesis with a Barzilai-Borwein Step Size . Proceedings of the 51st IEEE Conference on Decision and Control (CDC) , pp. 4864-4870, 2012.

S. Albrecht, M. Leibold, and M. Ulbrich: A Bilevel Optimization Approach to Obtain Optimal Cost Functions for Human Arm Movements. Numerical Algebra, Control and Optimization (NACO), 2:1 (2012), pp. 105-127.

Ch. Brandenburg, F. Lindemann, M. Ulbrich, and S. Ulbrich : Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design in Navier Stokes Flow. In: G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, S. Ulbrich (eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, Birkhäuser Verlag, 2012, pp. 257-275.

J.Benk, M. Ulbrich, and M. Mehl: The Nitsche Method of the Navier Stokes Equations for Immersed and Moving Boundaries. Seventh International Conference on Computational Fluid Dynamics, 2012.

M. Ulbrich: Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces , MOS/SIAM Series on Optimization 11, SIAM, 2011. Corrections.

K. Ramirez-Amaro, S. Albrecht, F. Ruiz-Ugalde, D. Weikersdorfer, M. Leibold, M. Ulbrich, and M. Beetz: Imitating Human Reaching Motions Using Physically Inspired Optimization Principles. 11th IEEE-RAS International Conference on Humanoid Robots, 2011.

J. Benk, M. Mehl, and M. Ulbrich: Sundance PDE Solvers on Cartesian Fixed Grids in Complex and Variable Geometries. Proceedings of ECCOMAS CFD and OPTIMIZATION, Antalya, May 2011.

S. Steffensen and M. Ulbrich: A New Relaxation Scheme for Mathematical Programs with Equilibrium Constraints , SIAM J. Optim., 20:5 (2010), pp. 2504-2539.

S. Kraus, S. Albrecht, M. Sobotka, B. Heißing, and M. Ulbrich: Optimisation-based Identification of Situation Determined Cost Functions for the Implementation of a Human-like Driving Style in an Autonomous Car, In: Proceedings of AVEC 10 (10th International Symposium on Advanced Vehicle Control), 2010.

S. Albrecht, C. Passenberg, M. Sobotka, A. Peer, M. Buss, and M. Ulbrich: Optimization Criteria for Human Trajectory Formation in Dynamic Virtual Environments . In: "Haptics: Generating and Perceiving Tangible Sensations", Lecture Notes in Computer Science, Vol. 6192, Springer, 2010, pp. 257-262.

M. Buss and M. Ulbrich: Fortschritte in der Optimalsteuerung (Editorial) . at - Automatisierungstechnik, 6/2009, pp. 267-268.

M. Ulbrich and S. Ulbrich : Primal-Dual Interior Point Methods for PDE-Constrained Optimization . Math. Programming, 117 (2009), pp. 435-485. Download Technical Report.

Ch. Brandenburg, F. Lindemann, M. Ulbrich, and 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, Birkhäuser Verlag, 2009, pp. 35-56.

M. Ulbrich: A New Mesh-Independence Result for Semismooth Newton Methods, Oberwolfach Reports, 6 (2009), pp. 268-271.

M. Hinze , R. Pinnau , M. Ulbrich, and S. Ulbrich : Optimization with PDE Constraints . Springer, 2009.

R. Silva, M. Ulbrich, S. Ulbrich , and L. N. Vicente : A Globally Convergent Primal-Dual Interior-Point Filter Method for Nonlinear Programming: New Filter Optimality Measures and Computational Results. Preprint, Fakultät für Mathematik, TU München, 2008.

M. Ulbrich: Methoden der Mathematischen Optimierung. In: J. Grabe (ed.), Optimierung in der Geotechnik - Strategien und Fallbeispiele, TU Hamburg-Harburg, Geotechnik u. Baubetrieb, 2006, pp. 3-43.

M. Ulbrich: Newton-type Preconditioned Multilevel Methods for Infinite-Dimensional Complementarity Problems with Applications, Oberwolfach Reports, 2 (2005), pp. 124-127.

M. Ulbrich, S. Ulbrich , and L. N. Vicente : A Globally Convergent Primal-Dual Interior-Point Filter Method for Nonlinear Programming , Math. Program., 100 (2004), pp. 379-410.

M. Hintermüller and M. Ulbrich: A Mesh-Independence Result for Semismooth Newton Methods , Math. Program., 101 (2004), pp. 151-184.

M. Ulbrich: Constrained Optimal Control of Navier-Stokes Flow by Semismooth Newton Methods , Systems & Control Letters, 48 (2003), pp. 297-311. Download Technical Report.

M. Ulbrich and S. Ulbrich : Non-Monotone Trust Region Methods for Nonlinear Equality Constrained Optimization without a Penalty Function , Math. Program. 95 (2003), pp. 103-135.

M. Ulbrich: Semismooth Newton Methods for Operator Equations in Function Spaces , SIAM J. Optim., 13 (2003), pp. 805-842.

S. S. Collis , K. Ghayour, M. Heinkenschloss , M. Ulbrich and S. Ulbrich : Optimal Control of Unsteady Compressible Viscous Flows , International Journal for Numerical Methods in Fluids, 40 (2002), pp. 1401-1429. Download Technical Report.

M. Ulbrich: Nonsmooth Newton-like Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces, Habilitation thesis, Fakultät für Mathematik, Technische Universität München, submitted June 2001, accepted January 2002.

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, and F. Tröltzsch (eds.), Optimal Control of Complex Structures, Birkhäuser Verlag, 2001.

M. Ulbrich: Non-Monotone Trust-Region Methods for Bound-Constrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems , SIAM J. Optim., 11 (2001), pp. 889-917.

S. S. Collis , K. Ghayour, M. Heinkenschloss , M. Ulbrich and S. Ulbrich : Towards Adjoint-Based Methods for Aeroacoustic Control, AIAA Paper 2001-0821, 2001.

M. Ulbrich: On a Nonsmooth Newton Method for Nonlinear Complementarity Problems in Function Space with Applications to Optimal Control. In: M. C. Ferris, O. L. Mangasarian, and J.-S. Pang (eds.), Complementarity: Applications, Algorithms and Extensions, Kluwer Academic Publishers, 2001, pp. 341-360.

M. Ulbrich and S. Ulbrich : Superlinear Convergence of Affine-Scaling Interior-Point Newton Methods for Infinite-Dimensional Nonlinear Problems with Pointwise Bounds , SIAM J. Control Optim., 38 (2000), pp. 1938-1984.

M. Heinkenschloss , M. Ulbrich and S. Ulbrich : Superlinear and Quadratic Convergence of Affine-Scaling Interior-Point Newton Methods for Problems with Simple Bounds without Strict Complementarity Assumption , Math. Programming, 86 (1999), pp. 615-635.

M. Ulbrich, S. Ulbrich , and M. Heinkenschloss : Global Convergence of Trust-Region Interior-Point Algorithms for Infinite-dimensional Nonconvex Minimization Subject to Pointwise Bounds , SIAM J. Control Optim., 37 (1999), pp. 731-764.

M. Ulbrich: A Generalized Tikhonov Regularization for Nonlinear Inverse Ill-Posed Problems, Technical Report TUM M9810, Fakultät für Mathematik, Technische Universität München, 1998.

M. Ulbrich: On the Solution of Nonlinear Ill-posed Parameter Identification Problems in Evolution Equations by Application of Continuation Methods to the Tikhonov-regularized Problem (German). Dissertation, 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. Riedmueller, S. Schäffler (eds.), Applied Mathematics and Parallel Computing, Festschrift for Klaus Ritter, Physica-Verlag, Heidelberg, 1996.