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Department of Mathematics

Scientific computing

Scientific computing is the study of the techniques that underpin discipline-specific fields of computational science.

The finite element method is one of the most general techniques for approximating the solution of systems of partial differential equations: with applications in solid mechanics, fluid flow, and electromagnetism. A major focus of our research is on applying finite element approximation methods to multi-physics models arising in continuum mechanics and in the life sciences.

The group has expertise in all aspects of the method: especially analysis of approximation properties; the design and implementation of efficient solution algorithms and the development of open-source software.

We are actively engaged in research projects related to a wide range of topics, including:

  • reliable a posteriori error estimation techniques
  • efficient adaptive refinement strategies
  • fast solvers and robust preconditioning

Software packages currently being developed include:

More information about our research outputs and research-related activities can be found by browsing the webpages of the staff listed on the right. Potential PhD students may email academic staff directly to discuss possible projects related to software development.