Prof. Patrick Farrell
PhD, BSc (Hons)
Status
Academic Faculty
Professor
Tutorial Fellow, Oriel College
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Teaching
Prelims Computational Mathematics (MT, HT, TT)
Prizes, awards, and scholarships
- Invited lecturer, International Congress of Mathematicians, 2026
- SIAM Germund Dahlquist Prize, 2025
- LMS Whitehead Prize, 2021
- Broyden Prize in Optimization, 2021
- SIAM Wilkinson Prize for Numerical Software, 2015
- IMA Leslie Fox Prize in Numerical Analysis, second place, 2015
- EPSRC Early Career Research Fellowship, 2013
Recent publications
A thermodynamically consistent Johnson–Segalman–Giesekus model: Numerical simulation of the rod climbing effect
Cach, J Farrell, P Málek, J Tůma, K Applications in Engineering Science volume 26 100315 (01 Jun 2026) High-order finite element methods for three-dimensional multicomponent convection-diffusion
Baier-Reinio, A Farrell, P SIAM Journal on Scientific Computing volume 48 issue 2 A540-A567 (13 Mar 2026) Helicity-preserving finite element discretization for magnetic relaxation
He, M Farrell, P Hu, K Andrews, B SIAM Journal on Scientific Computing volume 48 issue 2 B165-B183 (10 Mar 2026) Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables
Andrews, B Farrell, P SIAM Journal on Scientific Computing volume 47 issue 6 A3516-A3535 (17 Nov 2025) Topology optimisation of transient compressible flow
Alonso, D Farrell, P Meneghini, J Silva, E Engineering with Computers (11 Oct 2025) Research interests
- The numerical solution of differential equations.
- Adaptive discretisations of PDEs.
- Adjoints and PDE-constrained optimisation problems.
- Bifurcation analysis of nonlinear PDEs.