Efficient finite element modelling of multiscale problems

Many practical problems involve multiple scales. In practice, it is often impossible to resolve the small scale effects directly without involving the use of large computing facilities. In general, these effects can be crucial to understanding the global behaviour. Examples can be found in heat transfer, material science, electromagnetics, and fluid dynamics. In this project we aim to develop efficient finite element models that can deal with such problems on two levels, namely, a coarse/global level and a fine /local level. The aim is to accurately reflect the local effect on the global behaviour. The applications of the method will be de-veloped based on the PhD student interest.

The applicant will need to come from an engineering or a mathematical background with knowledge about numerical methods. Experience in any programming language would be advantageous.