Publications

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

S. Veelken and M. Ulbrich: A New Relaxation Scheme for Mathematical Programs with Equilibrium Constraints. Preprint, Fakultät für Mathematik, TU München, 2009.

M. Hinze , R. Pinnau , M. Ulbrich, and S. Ulbrich : Optimization with PDE Constraints . Springer, 2008.

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.

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

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 (2002), 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, Technical Report Nr. IAMS1996.1TUM, Technische Universität München, 1996. Published in H. Fischer, B. Riedmueller, S. Schäffler (eds.), Applied Mathematics and Parallel Computing, Festschrift for Klaus Ritter, Physica-Verlag, Heidelberg, 1996.