Francis Aznaran
BSc (Warwick), MASt (Cantab)
Status
Postgraduate Student
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Prizes, awards, and scholarships
- Combined EPSRC/MathWorks Scholarship at the PDEs CDT, Oxford Mathematics Institute (2018 - 2022).
Research interests
The finite element method for the PDEs of elasticity and thermodynamics, encompassing:
- Piola transformation theory and implementation of FEM
- Elasticity complexes and the discretisation of elastic stress and strain
- Multigrid, preconditioning, and fast solvers
Further details
DPhil student in the EPSRC Centre for Doctoral Training in Partial Differential Equations (2018 cohort).
Supervised by Patrick Farrell and Endre Süli.
_____________________________________
- Oxford FEM reading group.
- SIAM Annual Meeting 2022 minisymposium: Nonlinear Viscous Flow: Numerical Methods and Applications, MS30 Part I, MS57 Part II, MS85 Part III.
Major / recent publications
- Transformations for Piola-mapped elements, F. R. A. Aznaran, P. E. Farrell, and R. C. Kirby, submitted, 2021 (arXiv:2110.13224).
Teaching
- Hilary '22: Tutor, Part C Fixed Point Methods for Nonlinear PDEs.
- Michaelmas '21: Tutor, MMSC Numerical Solution of PDEs.
- Hilary '21: Tutor, Part B Functional Analysis II; TA, Part C Finite Element Methods for PDEs.
- Michaelmas '20: TA, Part C Functional Analytic Methods for PDEs; TA, MMSC Numerical Solution of Differential Equations I.
- Nov '20: Marker, Oxford MAT.
- Hilary '20: TA, Part B Functional Analysis II.
- Michaelmas '19 - Trinity '20: Tutor of Prelims Introductory Calculus, and marker of Collections, Oriel College.