Dr. Anne-Therese Rauls-Ehlert
Member until 2023.
Research Interests
- Variational Inequalities
- Optimization in Function Space
Project
SPP 1962: Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization
Project P23: Optimization methods for mathematical programs with equilibrium constraints in function spaces based on adaptive error control and reduced order or low rank tensor approximations
Talks
| On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem at the SIAM Conference on Optimization (OP21), July 23, 2021, Hong Kong (virtually) |
| Generalized derivatives for the solution operator of the bilateral obstacle problem at the DMV Annual Meeting, September 15, 2020, Chemnitz (virtually) |
| Bouligand generalized derivatives for the solution operator of the obstacle problem: theory, applications and challenges in numerics at the Chemnitz Seminar on Optimal Control 2020, February 13, 2020, Haus (Ennstal), Austria |
| Generalized derivatives for the solution operator of obstacle problems at the RICAM Special Semester, Workshop 1, with the topic New trends in PDE constrained optimization, October 15, 2019, Linz, Austria |
| Computing a Bouligand Generalized Derivative for the Solution Operator of the Obstacle Problem at FGS 2019, September 20, 2019, Nice, France |
| Subgradient Calculus for the Obstacle Problem at ICCOPT 2019, August 7, 2019, Berlin |
| Structure of Subgradients for the Obstacle Problem and Numerical Realization at GAMM 2019, February 19, 2019, Wien, Austria |
| Subgradient Computation for the Solution Operator of the Obstacle Problem at the Chemnitz Seminar on Optimal Control 2019, February 11, 2019, Haus (Ennstal), Austria |
| Subgradient Calculus for the Obstacle Problem at IFIP 2018, July 24, 2018, Essen |
| Computing a Subgradient for the Solution Operator of the Obstacle Problem at ISMP 2018, July 5, 2018, Bordeaux, France |
| Subgradient Computation for the Solution Operator of the Obstacle Problem at GAMM 2018, March 21, 2018, Munich |
| Subgradient Computation for the Solution Operator of the Obstacle Problem at the Research Seminar Numerics, January 16, 2018, Chemnitz |
Publications
|
A.-T. Rauls: Generalized Derivatives for Solution Operators of Variational Inequalities of Obstacle Type, Verlag Dr. Hut, ISBN 978-3-8439-4928-6, 2021. [PDF] (opens in new tab) |
| A.-T. Rauls, S. Ulbrich: On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem, SIAM J. Control Optim. 59(5), 3683–3707, 2021. |
|
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: Non-Smooth and Complementarity-Based Distributed Parameter Systems, M. Hintermüller et al. (eds.), SPP1962 Special Issue, ISNM, Birkhäuser, 2022. [PDF] (opens in new tab) |
| A.-T. Rauls, S. Ulbrich: Computation of a Bouligand Generalized Derivative for the Solution Operator of the Obstacle Problem, SIAM J. Control Optim. 57(5), 3223–3248, 2019. |
| A.-T. Rauls, G. Wachsmuth: Generalized Derivatives for the Solution Operator of the Obstacle Problem, Set-Valued Var. Anal, 2019. |
Teaching Assistance
| Mathematics III for electrical engineering | PD Dr. Schmidt | Winter term 2023/24 |
| Applied statistics in human sciences | Prof. Dr. Kohler | Winter term 2021/22 |
| Analysis IV | Prof. Dr. Haller | Summer term 2021 |
| Nonsmooth optimization | Prof. Dr. Ulbrich | Summer term 2021 |
| Nonlinear optimization | Prof. Dr. Ulbrich | Winter term 2020/21 |
| Nonsmooth optimization | Prof. Dr. Wollner | Summer term 2020 |
| Mathematics II for informatics | Prof. Dr. Streicher | Summer term 2020 |
| Interior point methods in convex optimization | Prof. Dr. Ulbrich | Winter term 2019/20 |
| Optimization with partial differential equations | Prof. Dr. Ulbrich | Winter term 2018/19 |
| Elementary partial differential equations: Classical methods | Prof. Dr. Ulbrich | Summer term 2018 |
| Analysis II (english) | Prof. Dr. Kohlenbach | Summer term 2017 |