[£22,780 to £24,780 per annum bursary for 3 years (potential extension up to 12 months); contribution to tuition fees at University Home Rate (£5,006/year); international applicants may need to pay remainder tuition fee unless covered by M 3 4Impact.]

This interdisciplinary PhD studentship at the University of Greenwich offers an exciting opportunity to advance computational methods for evolving-domain problems, with a particular focus on phase transitions in materials. The project bridges applied mathematics, computational mathematics, and engineering, targeting the development and improvement of numerical approaches for partial differential equations (PDEs) defined on domains with time-dependent interfaces, known as free-boundary problems.

Physical phenomena such as the formation of oxides and solid-electrolyte interphases in battery electrodes involve propagating interfaces between distinct material phases. These interfaces are modeled as sharp boundaries moving across fixed finite-element meshes, presenting significant computational challenges, especially in highly non-linear cases. The project aims to further develop the cut-finite-element method to enhance accuracy and efficiency in simulating phase transitions in materials, including multi-physics systems like chemo-mechanical and magneto-mechanical processes.

The successful candidate will join the Computational Science and Engineering Group (CSEG), a dynamic research team with expertise in computational materials modelling and phase transformation processes. The studentship is fully funded by the M 3 4Impact programme, part of a £9 million Expanding Excellence in England (E3) grant, providing access to training and research initiatives. Supervision will be provided by Dr Mikhail Poluektov, Prof Andrew Kao, and Dr Ivars Krastins, ensuring strong academic guidance and support.

Funding includes a bursary of £22,780 to £24,780 per annum for three years, with a possible extension of up to 12 months. Tuition fees are covered at the University Home Rate (£5,006/year), and exceptional international applicants may have their full tuition fees covered. International applicants should note that they may need to pay the remainder tuition fee unless covered by the funding programme.

Applicants should possess a strong academic background in applied mathematics, computational mathematics, or engineering, with experience in numerical methods for PDEs and mechanics of materials. A first-class or upper second-class undergraduate degree (or equivalent) in mathematics, physics, engineering, or a related discipline is preferred. Experience with finite element methods, computational modelling, or phase transitions in materials is advantageous. English language requirements may apply for international candidates.

To apply, submit your application online via the University of Greenwich portal, including your CV, academic transcripts, and a cover letter outlining your suitability for the project. The application deadline is 17 April 2026. For further information, contact the supervisors or visit the project link provided.