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Image of Prof. Patrick Farrell

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
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.
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London Mathematical Society Good Practice Scheme Athena SWAN Silver Award (ECU Gender Charter) Stonewall Silver Employer 2022

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