Patrick E. Farrell
People
Teaching
CV & publication list
(updated 2024-09-02)
Visiting research fellows
Diego Hayashi Alonso
.
Visiting Jan 2024 to Dec 2024, funded by FAPESP.
Postdoctoral research associates
Pablo Brubeck.
Funded on EPSRC grant
SysGenX: Composable software generation for system-level simulation at Exascale
.
Jack Betteridge.
Funded on EPSRC grant
SysGenX: Composable software generation for system-level simulation at Exascale
.
DPhil students
Boris Andrews
.
Topic: structure-preserving discretisations in time.
Co-supervised with
Wayne Arter
.
Aaron Baier-Reinio.
Topic: discretisations for multicomponent flow.
Mingdong He.
Topic: preconditioners in fluid mechanics.
Kars Knook.
Topic: preconditioners in multicomponent flows.
India Marsden.
Topic: compiler techniques for exotic finite element discretisations.
Umberto Zerbinati
.
Topic: modelling and discretisation of smectic liquid crystals.
Visiting MSc students
Arselane Hadj-Slimane.
Home university: ENS Saclay.
Topic: shape optimisation in the presence of multiple solutions.
Matěj Vais.
Home university: Charles University Prague.
Topic: simulation of power-law fluids with low power-law index.
DPhil graduates
Florian Wechsung
.
Topic:
shape optimisation and robust solvers for incompressible flow
. DPhil viva: 2019-09-23.
Next step: a postdoc with
Georg Stadler
at NYU, now a quantitative researcher at Citadel GQS.
Matteo Croci
.
Topic:
multilevel Monte Carlo methods for uncertainty quantification in brain simulations
. DPhil viva: 2020-01-20.
Co-supervised with
Mike Giles
and
Marie Rognes
.
Next step: a postdoc with Mike Giles in Oxford, then a postdoc with
Karen Willcox
at UT Austin, and then a permanent position at BCAM.
Hamza Alawiye.
Topic:
Wrinkling instabilities: modelling, analysis and computation
. DPhil viva: 2020-09-25.
Co-supervised with
Alain Goriely
.
Next step: a Heilbronn fellowship at the University of Bristol, now a Senior Machine Learning Research Scientist at Deep Render.
Pablo Alexei Gazca Orozco
.
Topic:
Numerical analysis of implicitly constituted incompressible fluids: mixed formulations
. DPhil viva: 2020-10-19.
Co-supervised with
Endre Süli
.
Next step: a postdoc with
Enrique Zuazua
in Erlangen-Nuremberg, then a postdoc with
Michael Růžička
in Freiburg.
Jingmin Xia
.
Topic:
Computational and analytical aspects of energy minimisation problems in cholesteric, ferronematic and smectic liquid crystals
. DPhil viva: 2021-06-01.
Next step: a permanent lectureship at the
National University of Defense Technology
in Changsha, China.
Ioannis Papadopoulos
.
Topic:
Computing multiple solutions of topology optimization problems
. DPhil viva: 2021-09-24.
Co-supervised with
Endre Süli
. Next step: a postdoc with
Sheehan Olver
at Imperial College London, then a Dirichlet fellowship at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin.
Nicolas Boullé
.
Topic:
Data-driven discovery of Green's functions
. DPhil viva: 2022-08-30.
Co-supervised with
Marie Rognes
and
Alex Townsend
. Next step: an INI-Simons Postdoctoral Fellowship at the University of Cambridge, then a permanent lectureship at Imperial College London.
Fabian Laakmann.
Topic:
Discretisations and preconditioners for magnetohydrodynamics models
. DPhil viva: 2022-09-20.
Next step: Machine Learning Mathematics Engineer with ASML.
Francis Aznaran
.
Topic:
Discretisation of Hodge Laplacians in the elasticity complex
. DPhil viva: 2022-09-28.
Co-supervised with
Endre Süli
. Next step: a research fellowship at Notre Dame.
Alexander Van-Brunt.
Topic:
Finite element methods for the Onsager-Stefan-Maxwell equations
. DPhil viva: 2022-10-07.
Co-supervised with
Charles Monroe
. Next step: Research engineer at Bosch, Sunnyvale, California.
Pablo Brubeck.
Topic:
Optimal complexity and robust multigrid methods for high-order FEM
. DPhil viva: 2023-02-15. Next step: a postdoctoral research associate position with me.
Gonzalo Gonzalez de Diego.
Topic: Viscous contact problems in glaciology. DPhil viva: 2023-09-05.
Co-supervised with
Ian Hewitt
. Next step: a postdoctoral position with
Georg Stadler
at NYU.
Postdoctoral alumni
Duygu Sap
.
Funded on EPSRC grant
PRISM: Platform for Research in Simulation Methods
.
Thomas Roy
.
Postdoctoral topic: nonlinear solvers in reservoir models.
Next step: a postdoc with
Victor Beck
, then an appointment as Staff Scientist at Lawrence Livermore National Laboratory.
Alberto Paganini
.
Postdoctoral topic: shape optimisation.
Next steps: a departmental lectureship in Oxford, then a permanent lectureship at the University of Leicester.
Teresa Kyrke-Smith.
Postdoctoral topic: inverse problems in glaciology, co-advised with
Hilmar Gudmundsson
at the British Antarctic Survey.
Next step: HM Civil Service.
Other alumni and visitors
Panos Kevrekidis
.
Topic: bifurcation analysis of Bose-Einstein condensates.
2019 Leverhulme Visiting Professorship
.
Àlex Ferrer
.
Visited Jul 2022 to Jul 2023, funded by a grant from the Universitat Politècnica de Catalunya and the Catalan government.
Maryam Parvizi
.
Visited Apr 2023 to Apr 2024, funded by a Humboldt Fellowship and Leibniz University Hannover.
Geoffrey Gachemi.
Topic: goal-oriented error estimation in bifurcation analysis.
2021 Summer project funded by a
Mfano Africa virtual mentorship
. Next step: continuing as a lecturer at the
Technical University of Kenya
.
Isaac Newell.
Topic: bifurcation analysis of two coupled 3D Bose-Einstein condensates.
2021 Summer project funded by an
LMS Undergraduate Research Bursary
. Next step: a DPhil scholarship at the Mathematical Institute with
Luc Nguyen
and
Gui-Qiang Chen
.
Andrew Wilson
.
Topic: multigrid preconditioners for the Onsager-Stefan-Maxwell equations.
2022 MMSC project. Next step: a research assistantship with
Samar Khatiwala
and
Coralia Cartis
.