Umeå University, Mathematics and Mathematical Statistics

Position ID: 2216-PHD [#19980]
Position Title: PhD position in computational methods for wave propagation
Position Type: Other
Position Location: Umea, Vasterbottens Lan 901 87, Sweden [map]
Application Deadline: 2022/05/31 11:59PMhelp popup (posted 2022/05/03, listed until 2022/05/31)
Position Description:    

*** the listing date or deadline for this position has passed. ***

The Department of Mathematics and Mathematical Statistics is opening a PhD position in the project computational methods for wave propagation. The position involves four years of doctoral studies, including participation in research and postgraduate courses. Last day to apply is May 31, 2022.

There are many challenges to simulate wave propagation in realistic models. For example, waves propagate for many periods in a domain much larger than the wavelength, thus requiring scalable high-order methods that are suitable for implementation on modern parallel computers. Complex geometry at material interfaces and boundaries imposes difficulties for generating high-quality meshes. Heterogeneous material properties with discontinuities and multiscale features require special techniques to achieve high-order accuracy. As an example, the elastic wave equation models seismic waves generated by earthquakes that propagate through the Earth layers and on the Earth surface. The surface waves give rise to ground shaking and can cause enormous damages to the surrounding communities. To mitigate such seismic hazards, reliable simulation of wave propagation is a vital tool. The governing equation in this example is expressed as a system of hyperbolic partial differential equations.

In this project, we will develop, analyze, and implement fast and reliable numerical methods for solving wave propagation problems. Much attention will be placed on the numerical analysis perspective, such as stability analysis, error estimates, conditioning, and time-step restriction. The project will be carried out in collaboration with the computational mathematics group at Umeå University and our external collaborators.

Umeå offers excellent working and living conditions. The city is young and located right next to a large river. It is surrounded by forests and lakes and lies close by the sea. In the vicinity there are plenty of opportunities for both indoor and outdoor activities.

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Contact: Siyang Wang
Postal Mail:
Department of Mathematics and Mathematical Statistics
Umeå University
901 87 Umeå
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