Prof. Patrick Farrell

PhD, BSc (Hons)

Status

Academic Faculty

Professor

Tutorial Fellow, Oriel College

+44 1865 270743

Contact form

http://www.pefarrell.org

ORCID iD

https://orcid.org/0000-0002-1241-7060

Research groups

Numerical Analysis

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

See http://www.pefarrell.org.

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

A higher-order finite-element implementation of the nonlinear Fokker–Planck collision operator for charged particle collisions in a low density plasma

Farrell, P Computer Physics Communications volume 314 (19 May 2025)

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)

Research interests

The numerical solution of differential equations.
Adaptive discretisations of PDEs.
Adjoints and PDE-constrained optimisation problems.
Bifurcation analysis of nonlinear PDEs.