- Flow problems : Development of new stable discretization methods for the Stokes equations, in particular considering jumping viscosities, robust preconditioning techniques and application in exascale computing.
- Optimal control: Investigation of the energy control approach for boundary control problems (Dirichlet and Neumann) and its application to the Stokes- and Navier--Stokes equations: The construction of robust preconditioners and application of energy corrections.
- Uncertainty quantification: Consideration of highly scalable Markov-Chain multi-level Monte-Carlo methods in combination with high-performance multigrid PDE solvers. These methods shall be applied to geophysically-motivated scenarios.
- Exascale computing: Development of resilient parallel multigrid solvers and of fault tolerant algorithms on HPC systems.
- Mathematical models for porous media: Investigation of the macroscale two-phase flow model for porous media, including the balance equation for the specific fluid-fluid interfacial areas (collaboration with R. Helmig, University of Stuttgart).
- a master (or
PhD) degree (or equivalent) in mathematics, computer science or computational science and engineering (CSE)
- strong analytical and numerical skills; experience with partial differential equations is beneficial
- excellent communication skills; must be a team player
- good command of the english language (written and oral)
- the perseverance to complete a doctoral research project
- sound knowledge of programming in C/C++
- a young and highly motivated research team
- the opportunity to pursue a doctoral degree
- the chance for collaboration with international partners
- the possibility to gain teaching experience and to supervise student projects
eMail: wohlmuthma.tum.de We are looking forward to receiving your application!