PhD Position in computational mathematics
100%
March 1, 2021, or at any later date
Efficient numerical methods for the simulation of wave phenomena are crucial for a wide range of applications from acoustics, electromagnetics or elasticity. Both standard conforming finite element and discontinuous Galerkin methods are widely used for the spatial discretization of the governing PDE.
In the presence of local mesh refinement due to material interfaces, small geometric features or corner singularities, the CFL (Courant-Friedrichs-Lewy) stability condition of any explicit time-marching scheme will dictate a time-step determined by the smallest elements in the mesh.
Local time-stepping (LTS) methods permit to overcome that major bottleneck without sacrificing the inherent explicitness or parallelism.
Your position
You will be integrated into the Numerical Analysis research group of Prof. Marcus Grote.
Your main task will be to conduct research on the project "High-order local time-stepping methods for wave propagation", which is funded by the Swiss National Science Foundation.
The position also includes a small teaching duty (one homework session per week) as a teaching assistant.
Your profile
- M.Sc. in Mathematics or Applied mathematics
- strong background in standard numerical methods for ODE's, PDE's
- strong background in finite element methods (theory and Matlab programming)
- good English communication skills
Please send (.PDF only) your cv, transcript and, if available, certificate of Master's degree together with the names and addresses of two references to marcus.grote@unibas.ch.
Applications will be accepted until the position is filled.
For further inquiries please contact:
Prof. Marcus Grote
Dept. of Mathematics and Computer Science
University of Basel
Spiegelgasse 1
4051 Basel
Switzerland
