Prof. Patrick Farrell
PhD, BSc (Hons)
Status
Academic Faculty
Associate Professor of Numerical Analysis and Scientific Computing
EPSRC Early Career Research Fellow
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
Research interests
- The numerical solution of differential equations.
- Adaptive discretisations of PDEs.
- Adjoints and PDE-constrained optimisation problems.
- Bifurcation analysis of nonlinear PDEs.
Prizes, awards, and scholarships
- Wilkinson Prize for Numerical Software, 2015
- IMA Leslie Fox Prize in Numerical Analysis, second place, 2015
- EPSRC Early Career Research Fellowship, 2013
- Outstanding Thesis award from the Association of Computational Mechanics in Engineering, 2010
- Represented the UK in the PhD Olympiad of the European Community on Computational Methods in Applied Sciences, 2010
- Core member of team winning the Imperial College Research Excellence Award, 2010
- Janet Watson Memorial Prize as the best PhD student in the department in 2009
- Janet Watson Doctoral Scholarship, 2006
- Hamilton Prize, Royal Irish Academy, 2006
- Blayney Exhibition, National University of Ireland, 2006
Recent publications
Two conjectures on the Stokes complex in three dimensions on Freudenthal meshes
Farrell, P Mitchell, L Scott, R SIAM Journal on Scientific Computing volume 46 issue 2 A629-A644 (05 Mar 2024) Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization
Papadopoulos, I Farrell, P SIAM Journal on Scientific Computing volume 45 issue 6 B853-B883 (29 Nov 2023) Discrete breathers in Klein–Gordon lattices: a deflation-based approach
Martin-Vergara, F Cuevas-Maraver, J Farrell, P Villatoro, F Kevrekidis, P Chaos: An Interdisciplinary Journal of Nonlinear Science volume 33 (21 Nov 2023) Colloidal smectics in button-like confinements: experiment and theory
Wittmann, R Monderkamp, P Xia, J Cortes, L Grobas, I Farrell, P Aarts, D Löwen, H Physical Review Research volume 5 (28 Aug 2023) Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations
Laakmann, F Hu, K Farrell, P Journal of Computational Physics volume 492 (14 Aug 2023) Teaching
Lecturing:
- Practical Numerical Analysis, MT 2014
- Python in Scientific Computing, TT 2014-2017
- Solving PDEs on Supercomputers, TT 2015-2016
- Finite Element Methods for PDEs, HT 2017
Tutoring:
- Numerical Analysis, HT 2014
- Constructive Mathematics, TT 2014
- Optimisation, TT 2014
- Introduction to University Level Mathematics, MT 2016
- Geometry, MT 2016
- Differential Equations I, MT 2016