Publications of Michael Ulbrich

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

A. Mlizarek, X. Xiao, S. Cen, Z. Wen, and M. Ulbrich: A Stochastic Semismooth Newton Method for Nonsmooth Nonconvex Optimization , Preprint arXiv:1803.03466, 2018. (submitted for publication)

L. Hertlein and M. Ulbrich: An Inexact Bundle Algorithm for Nonconvex Nondifferentiable Functions in Hilbert Space , Priority Program SPP 1962, Preprint SPP1962-084, 2018. (submitted for publication)

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. Programming, 100 (2004), pp. 379-410.

M. Hintermüller and M. Ulbrich: A Mesh-Independence Result for Semismooth Newton Methods , Math. Programming, 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.