Postdoctoral Research Associate, University of Oxford (he / him)
| Postdoctoral Research Associate, Numerical Analysis, University of Oxford
| ERC Starting Grant for Geometric Finite Element Methods (GeoFEM)| Kaibo Hu| PhD (DPhil), Numerical Analysis, University of Oxford
| Geometric numerical integration via auxiliary variables| Patrick Farrell, Wayne Arter| Integrated Masters (MMath), Mathematics, University of Oxford
| First (Distinction)| Computation and approximation of near orthogonal matrices for tall random matrices| Yuji Nakatsukasa| Conservative & dissipative integrators / Global & local energy estimates / Asymptotic-preserving integrators / Geometric ML| FEEC / Domain decomposition / PinT| MHD / Hybrid fluid-particle models| Stabilisation / Preconditioning| EPSRC studentship / UKAEA studentship| Worcester College Foundation scholarship / Worcester College collection prizes| Date | Title | Co-authors |
|---|---|---|
| 29.APR.2025 (arXiv), Upcoming (SISC) |
Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables | Patrick Farrell |
| Date | Title | Co-authors |
|---|---|---|
| 20.JAN.2025 (arXiv) |
Helicity-preserving finite element discretization for magnetic relaxation | Mingdong He, Patrick Farrell, Kaibo Hu |
| Date | Title | Co-authors |
|---|---|---|
| 18.JUL.2025 (download) |
Geometric numerical integration via auxiliary variables (PhD (DPhil) thesis) |
|
| 16.JUL.2024 (arXiv) |
High-order conservative and accurately dissipative numerical integrators via auxiliary variables | Patrick Farrell |
| Title | Co-authors |
|---|---|
| Conservative and dissipative time discretisations for conservative and GENERIC systems | Patrick Farrell |
| Automated Galerkin time stepping in Irksome | Pablo Brubeck, Patrick Farrell, Rob Kirby, Scott MacLachlan |
| Enstrophy-stable integrators for the incompressible Navier–Stokes equations | Matin Shams |
| An augmented Lagrangian preconditioner for natural convection at high Reynolds number | Alexei Gazca, Patrick Farrell |
| Uniformly accurate asymptotic-preserving integrators for charged particles |
| Title | Co-authors |
|---|---|
| Helicity- and enstrophy-stable integrators for the Navier–Stokes–Voigt equations | |
| Globally and locally structure-preserving mixed finite element methods for boundary-value problems | |
| Enstrophy-stable integrators for the Navier–Stokes equations on manifolds | |
| Enstrophy-stable integrators for incompressible magneto-hydrodynamics |
| Tutor: Computational Mathematics| Tutor: Prelims corner / Teaching assistant: Numerical Linear Algebra| Tutor: Analysis I / Teaching assistant: Random Matrix Theory| Matin Shams, MMSC special projection & dissertation
| Enstrophy-stable integrators for the incompressible Navier–Stokes equations| Sebastian Ohlig, Undergraduate summer internship
| Stability of conservative vs. symplectic integrators on the Toda lattice| (2×)ACOMEN (Ghent University) / ECCOMAS Thematic Conference on Modern Finite Element Technologies (MFET) (Aachen, Germany) / Self-Consistency Group seminar (CHaRMNET) / ACM Colloqium (University of Edinburgh & Heriot-Watt University) / Numerical Mathematics & Scientific Computing Seminar (Rice University) / SIAM CSE (Fort Worth, Texas) / Scientific Computing Seminar (Brown University) / METHODS Group seminar (Brown University)| External seminar (Rice University)| Numerical Analysis Group internal seminar (University of Oxford) / Biennial Numerical Analysis Conference (University of Strathclyde)| Computing Division technical meeting (UKAEA) / Firedrake User Meeting (University of Oxford) / PDEsoft (University of Cambridge) / European Finite Element Fair (University College London) / Exploiting Algebraic and Geometric Structure in Time-integration Methods workshop (University of Pisa) / UKAEA PhD student engagement day (UKAEA) / Junior Applied Mathematical Seminar (University of Warwick)| ICIAM (Waseda University) / Numerical Analysis Group internal seminar (University of Oxford) / Junior Applied Mathematics Seminar (University of Oxford) / Met Office presentation (University of Oxford) / Internal presentation (Tokamak Energy)| PRISM workshop (Missenden Abbey, UK)| Organisation of the weekly finite element methods reading group, University of Oxford| Attendance of the Programme on Differential Complexes at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), University of Vienna| Joint organisation of minisymposium on structure-preserving FEMs at the Biennial Numerical Analysis Conference with Charlie Parker, University of Strathclyde| Physics: theory and modelling internship, Tokamak Energy| Plasma physics summer school, UKAEA
| Python (Firedrake) / MATLAB / LaTeX| Julia / C / Fortran / HTML| English| Dutch| Japanese / German