Dr. Michael Fischer
Mitglied bis 2017
Forschungsinteressen
- Shape Optimization
- Optimal Control of PDEs
- Analysis of PDEs
- Fluid Dynamics (Navier-Stokes, Boussinesq, Euler, …)
- Numerical Analysis
Veröffentlichungen
- M. Fischer, F. Lindemann, M. Ulbrich, 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 Journal on Control and Optimization, Vol. 55 (2017), Issue 5, pp. 3226–3257.
- M. Fischer: Analysis and numerical approximation of shape optimization problems governed by the Navier-Stokes and the Boussinesq equations, PhD Thesis, Technische Universität Darmstadt, 2017, ISBN: 9783843932684, Verlag Dr. Hut.
Vorträge
- 2014 Joint Conference on Applied Mathematics, Ryukoku University, Japan, December 20, 2014: The adjoint approach for shape optimization with an example on the Boussinesq equations
- The 11th Japanese-German International Workshop on Mathematical Fluid Dynamics, Waseda University, Japan, March 12, 2015: Shape optimization and the stabilized characteristics finite element method
- ISMP 2015, Pittsburgh, USA, July 17, 2015: Shape Optimization of the Boussinesq Equations via a Characteristics P1/P1 FE Discretization
- Joint International Conference and Autumn School, TU Darmstadt, Germany, October 7, 2015: Shape Optimization of the Boussinesq Equations via a Characteristics P1/P1 FE Discretization
- The 12th Japanese-German International Workshop on Mathematical Fluid Dynamics, Waseda University, Japan, March 02, 2016: Shape optimization with the Boussinesq equations
- SIAM Conference on Optimization, Vancouver, Canada, May 22, 2017: Fréchet differentiability of the Boussinesq flow with respect to domain variations
Lehrassistenz
- WiSe 2016/17: Einführung in die Optimierung (Prof. Dr. Stefan Ulbrich)
- SoSe 2017: Mathematik 4 für Elektrotechnik/Mathematik 3 für Informatik (Prof. Dr. Stefan Ulbrich)
- SoSe 2017: Nichtglatte Optimierung (Prof. Dr. Alexandra Schwartz)