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
Structural electroneutrality in Onsager–Stefan–Maxwell transport with charged species
Van-Brunt, A Farrell, P Monroe, C Electrochimica Acta volume 441 141769-141769 (01 Feb 2023) On the finite element approximation of a semicoercive stokes variational inequality arising in glaciology
de Diego, G Farrell, P Hewitt, I SIAM Journal on Numerical Analysis volume 61 issue 1 1-25 (25 Jan 2023) Two-component three-dimensional atomic Bose-Einstein condensates supporting complex stable patterns
Boullé, N Newell, I Farrell, P Kevrekidis, P Physical Review A volume 107 issue 1 (18 Jan 2023) A new mixed finite-element method for H2 elliptic problems
Farrell, P Hamdan, A MacLachlan, S Computers and Mathematics with Applications volume 128 300-319 (15 Dec 2022) 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) 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