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Least Squares PGD Mimetic Spectral Element Methods for Systems of First-Order PDEs

  • Full or part time
  • Application Deadline
    Friday, March 15, 2019
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

The goal of the project will be to develop a least squares PGD mimetic spectral element method for the Stokes problem. There will be theoretical and computational aspects to this strand of the research.

Least-squares spectral element methods for PDEs reformulate them into unconstrained minimisation problems. The exceptional stability of least-squares formulations has led to the widespread use of low-order finite elements in their discretization. Unfortunately, resulting finite element methods are only approximately conservative, which generally leads to violation of fundamental physical properties, such as loss of mass conservation. In many cases this drawback can outweigh the potential advantages of least squares methods. As a result, improving the conservation properties of least-squares methods has attracted significant attention.

Funding Notes

UK Research Council eligibility conditions apply.
Full awards (fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the full award, EU Nationals must have been in the UK for at least 3 years prior to the start of the course for which they are seeking funding, including for the purposes of full-time education.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
http://www.cardiff.ac.uk/study/postgraduate/funding/view/epsrc-doctoral-training-partnership-phd-in-mathematics

Applicants should select Doctor of Philosophy (Mathematics) with an entry date of October 2019

In the "Research proposal and Funding" section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided.

Please select “No, I am not self-funding my research” when asked whether you are self-funding your research.

Please add “EPSRC Doctoral Training Partnership PhD in Mathematics" when asked "Please provide the name of the funding you are applying for".

Related Subjects

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

Research output data provided by the Research Excellence Framework (REF)

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