PhD Position in Mathematics at the University of Basel

The University of Basel offers a PhD Position in Mathematics to highly motivated students for the academic session 2021-2022. This position is funded by the Swiss National Science Foundation. The post also includes a small teaching duty (one homework session per week) as a teaching assistant.

Summary

Project Description

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 significant 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.

Application Deadline

The deadline for applications is March 01, 2021

Eligibility

• M.Sc. in Mathematics or Applied mathematics
• Strong background in standard numerical methods for ODE’s, PDE’s
• Strong knowledge in finite element methods (theory and Matlab programming)
• Good English communication skills

Application Process

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.

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