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
- LMS Whitehead Prize, 2021
- Broyden Prize in Optimization, 2021
- Wilkinson Prize for Numerical Software, 2015
- IMA Leslie Fox Prize in Numerical Analysis, second place, 2015
- EPSRC Early Career Research Fellowship, 2013
Recent publications
Time-harmonic waves in Korteweg and nematic-Korteweg fluids
Farrell, P Zerbinati, U Physical Review E volume 111 issue 3 (28 Mar 2025) Kinetic derivation of an inviscid compressible Leslie-Ericksen equation for rarified calamitic gases
Farrell, P Zerbinati, U Multiscale Modeling and Simulation volume 22 issue 4 1585-1607 (04 Dec 2024) A full approximation scheme multilevel method for nonlinear variational inequalities
Bueler, E Farrell, P SIAM Journal on Scientific Computing volume 46 issue 4 A2421-A2444 (23 Jul 2024) Multigrid solvers for the de Rham complex with optimal complexity in polynomial degree
Brubeck Martinez, P Farrell, P SIAM Journal on Scientific Computing volume 46 issue 3 A1549-A1573 (07 May 2024) Finite element methods for multicomponent convection-diffusion
Aznaran, F Farrell, P Monroe, C Van-Brunt, A IMA Journal of Numerical Analysis volume 45 issue 1 188-222 (27 Apr 2024) Research interests
- The numerical solution of differential equations.
- Adaptive discretisations of PDEs.
- Adjoints and PDE-constrained optimisation problems.
- Bifurcation analysis of nonlinear PDEs.