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

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD 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.

HOW TO APPLY

Applicants should submit an application for postgraduate study via the online application service : http://www.cardiff.ac.uk/study/postgraduate/research/programmes/programme/mathematics

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

In the funding section, please select the ’self -funding’ option

Funding Notes

We are interested in pursuing this project and welcome applications if you are self-funded or have funding from other sources, including government sponsorships or your employer.

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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