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
Recent publications
Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals
Xia, J Farrell, P ESAIM: Mathematical Modelling and Numerical Analysis (02 Oct 2022) A scalable and robust vertex-star relaxation for high-order FEM
Brubeck Martinez, P Farrell, P SIAM Journal on Scientific Computing volume 44 issue 5 A2991-A3017 (20 Sep 2022) An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynold and coupling numbers
Laakmann, F Farrell, P Mitchell, L SIAM Journal on Scientific Computing volume 44 issue 4 B1018-B1044 (15 Aug 2022) Bifurcation analysis of two-dimensional Rayleigh--Bénard convection using deflation
Boulle, N Dallas, V Farrell, P Physical Review E volume 105 055106- (18 May 2022) One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability
Dalby, J Farrell, P Majumdar, A Xia, J SIAM Journal on Applied Mathematics volume 82 issue 2 694-719 (27 Apr 2022) 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
Major / recent publications
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