A fully funded three-year PhD studentship (starting on 1 October 2022) is available in the Department of Mathematics and Statistics.
Magnetoelastic materials, materials that are capable to change shape in response to applied magnetic fields, play a fundamental role in a variety of technological devices. However, despite their impressive use in applications, their thorough mathematical understanding is still in its infancy. The aim of the project is to advance the mathematical understanding of magnetoelastic materials with a particular focus on the design, rigorous convergence analysis and implementation of effective approximation methods to perform reliable numerical simulations. Another focus of the project is on the derivation of appropriate dimensionally reduced models to deal with practically relevant geometries (such as magnetoelastic films and wires).
This is a very exciting project which will allow the student to work at the interface between mathematical modelling, mathematical analysis and computational mathematics with applications firmly in sight.
The student will be a member of the Analysis group (Theme: Numerical Analysis) of the Department of Mathematics and Statistics. The project will provide training in mathematical modelling, calculus of variations, partial differential equations, numerical analysis and scientific computing, thus equipping the student with highly desirable skills for working in either academia or industry. Further training will be provided for giving research talks, writing scientific papers and using computational software. Participation in seminars, workshops and conferences as well as research visits to the international collaborators will be strongly encouraged.
Applicants should have, or be expecting to obtain in the near future, a first class or good 2.1 honours degree (or equivalent) in mathematics or in a closely related discipline with a high mathematical content. Programming skills and some knowledge of analytical and numerical methods for the solution of partial differential equations are desirable.
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