Hi! I’m Boris, and I’m a postdoc (postdoctoral research associate) in the Numerical Analysis Group at the University of Oxford, under the ERC Starting Grant for Geometric Finite Element Methods (GeoFEM).

My work generally focuses on structure-preserving / compatible numerical methods for PDEs.

MY WORK WITH PATRICK FARRELL ON GENERAL CONSTRUCTIONS FOR STABLE FINITE ELEMENT INTEGRATORS WAS RECENTLY ACCEPTED AT SISC
CLICK HERE TO CHECK IT OUT!

RESEARCH INTERESTS

• STRUCTURE-PRESERVING / COMPATIBLE NUMERICAL METHODS FOR PDEs & ODEs | Conservative & dissipative integrators / Global & local energy estimates / Asymptotic-preserving integrators / Geometric ML
• FINITE ELEMENT THEORY | FEEC / Domain decomposition / PinT
• PLASMA MODELLING | MHD / Hybrid fluid-particle models
• TURBULENT SYSTEMS | Stabilisation / Preconditioning

HIGHLIGHTED PUBLICATIONS & PREPRINTS

Preprints (Accepted for publication)

Date	Title	Co-authors
29.APR.2025 (arXiv), Upcoming (SISC)	Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables	Patrick Farrell

Preprints (In review)

Date	Title	Co-authors
20.JAN.2025 (arXiv)	Helicity-preserving finite element discretization for magnetic relaxation	Mingdong He, Patrick Farrell, Kaibo Hu

Other works

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

(Click titles for further details and talks)

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SHORT CV

• 2025–2027 (predicted) | Postdoctoral Research Associate, Numerical Analysis, University of Oxford
  • PROJECT | ERC Starting Grant for Geometric Finite Element Methods (GeoFEM)
  • ADVISOR | Kaibo Hu
• 2021–2025 | PhD (DPhil), Numerical Analysis, University of Oxford
  • THESIS | Geometric numerical integration via auxiliary variables
  • SUPERVISORS | Patrick Farrell, Wayne Arter

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UPCOMING

2026

• 20.APR–05.JUN | ESI PROGRAMME | Attending the Programme on Differential Complexes at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) within the University of Vienna

RECENT COLLABORATORS

Patrick Farrell,
University of Oxford

Kaibo Hu,
University of Oxford

Alexei Gazca,
Charles University

Mingdong He,
University of Oxford

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OXFORD FEM READING GROUP

I run the finite element methods reading group in the Numerical Analysis Group here at the University of Oxford. You can find information on upcoming presentations here.

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OPEN PROBLEMS

I’m working on a list of open problems arising from my research that I’d be very keen to see turned into closed problems! You can find it here.

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OTHER INTERESTS

🌐 LANGUAGES / LINGUISTICS | Dutch / Japanese
🎲 BOARD GAMES | Heavy / Light / Cooperative / I don’t care so long as it’s with my friends
🎹 PIANO | Music theory / Improvisation so long as nobody’s listening
🍴 FOOD / COOKING | Anything East / Southeast Asian
🩸 MURDER MYSTERIES | Movies in particular
⚽ TABLE FOOTBALL | Competitive spirit / Non-competitive skill
🗺️ MAPS / FLAGS | Just love them
🐒 MONKEYS | Just love them
🥋 TAEKWONDO | Not done it properly in a long time though
❓ QUIZZES | Running / Doing / Losing
🍫 CHOCOLATE | Eating / Eating / Eating

(In no particular order)