Project Details
Description
The calculus of variations is the theory of how to minimise or maximise certain quantities. Most of the existing theory deals with quantities given in terms of the average (or integral) of certain values (which in turn depend on a function and its derivatives). There is a smaller body of theory on the question of how to minimise the maximum instead, but it currently covers only specific cases. This project aims to develop new methods with a greater scope, from an analytic point of view that can inform the design of numerical realisations.
| Status | Active |
|---|---|
| Effective start/end date | 1/10/23 → 31/03/27 |
Collaborative partners
- University of Bath (lead)
- University of Reading
Funding
- Engineering and Physical Sciences Research Council

RCUK Research Areas
- Mathematical sciences
- Mathematical Analysis
- Numerical Analysis
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Research output
- 5 Article
-
A nodally bound-preserving finite element method for time-dependent convection–diffusion equations
Amiri, A., Barrenechea, G. R. & Pryer, T., 15 Dec 2025, In: Journal of Computational and Applied Mathematics. 470, 116691.Research output: Contribution to journal › Article › peer-review
Open Access1 Link opens in a new tab Citation (SciVal) -
Computationally efficient r−adaptive graded meshes over non-convex domains
Appella, S., Budd, C. & Pryer, T., 15 Aug 2025, In: Computers and Mathematics with Applications. 192, p. 240-258 19 p.Research output: Contribution to journal › Article › peer-review
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Discretisation of an Oldroyd-B viscoelastic fluid flow using a Lie derivative formulation
Ashby, B. S. & Pryer, T., 28 Feb 2025, In: Advances in Computational Mathematics. 51, 1.Research output: Contribution to journal › Article › peer-review
Open Access1 Link opens in a new tab Citation (SciVal)