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Effective numerical solution of parametrized boundary value problems


Project Description

Numerical simulations can be used to study the behaviour of systems whose properties can be described by partial differential equations. Examples of such systems include, e.g., heat exchangers, membranes for water purification. However, scientists and engineers often want to optimise the processes taking place in these systems. In such situations, numerical simulations can be used to support experimental evidence in assessing different scenarios, but this is generally a very challenging task due to the high computational cost involved. This project aims to study a novel methodology that combines Proper Generalized Decomposition (PGD) and Domain Decomposition (DD) techniques to provide an effective computational framework for parametrized elliptic boundary value problems.

Links to find out more:
https://www.ima.umn.edu/materials/2010-2011/T11.28-29.10/10282/Widlund_Nov28.pdf

https://hal.archives-ouvertes.fr/hal-01004940/file/CLC.pdf

Entry requirements

Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Mathematics.

A relevant Master's degree and / or experience in one or more of the following will be an advantage:
1) solid knowledge of mathematical analysis and variational methods for elliptic partial differential equations;
2) solid theoretical and practical knowledge of the finite element method for boundary value problems.

How to apply

All applications are made online, please select the school/department name under the programme name section and include the quote reference number: MA/MD-Un1/2019

https://www.lboro.ac.uk/study/postgraduate/apply/research-applications/

Funding Notes

This is an open call for candidates who are sponsored or who have their own funding. If you do not have funding, you may still apply, however Institutional funding is not guaranteed. Outstanding candidates (UK/EU/International) without funding will be considered for funding opportunities which may become available in the School.

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