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.