| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2010/11 | Numerical Methods for Partial Differential Equations II | Lecture |
| Summer Semester 2010 | Numerical Methods for Partial Differential Equations I | Lecture |
| Winter Semester 2009/10 | Numerical Mathematics II | Lecture |
| Summer Semester 2009 | Numerical Mathematics I | Lecture |
Fields of interest
Finite element method
- Mixed methods (Stokes, Least Squares,
discretizations)
- Effective solvers (Multigrid, Krylov-subspace iterations)
- Time-dependent problems (parabolic and hyperbolic)
- Parallel implementation (MPI-based)
- Mesh generation and visualisation
- Nonlinear equations
Mathematical Modelling / Continuum mechanics
- Plasticity of granular media (Cam-Clay, Drucker-Prager)
- Gradient plasticity (Aifantis)
- Crystal plasticity
- Flow in porous media (Darcy, Richards)
- Wave propagation in porous media (Biot)
- Financial engineering (Black-Scholes)
Nonlinear solution algorithms / Optimization
- Semismooth Newton-Method
- SQP-Method
- Active set strategies
- Interior-Point algorithms
- Augmented-Lagrangian methods
Publications
- Numerical Analysis of Algorithms for Infinitesimal Associated and Non-Associated Elasto-Plasticity (PhD thesis, online at "Elektronisches Volltext-Archiv". Karlsruhe Institute of Technology (KIT). 2010)
- Robust estimates for the approximation of the dynamic consolidation problem (IMA Journal of Numerical Analysis (2010) 30, 832-856, doi: 10.1093/imanum/drn080 )
- Numerical approximation of a dynamic consolidation problem (Diploma thesis. Universität Karlsruhe (TH). 2006)
Earlier Teaching experience
- Winter term 2008/09: Numerical Methods in Financial Engineering
- Summer term 2008: Optimization I
- Winter term 2007/08: Optimization II
- Sommer term 2007: Optimization I
Slides Africomp
Miscellaneous
A hint for all examinees: In the face of ambiguity, refuse the temptation to guess. (The Zen of Python)