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.

I RECENTLY SUBMITTED A PAPER WITH AARON BAIER-REINIO, AARON BRUNK, PATRICK FARRELL AND MÁRIA LUKÁČOVÁ-MEDVIĎOVÁ ON STRUCTURE-PRESERVING DISCRETISATIONS FOR MULTICOMPONENT FLOWS

CLICK HERE TO CHECK IT OUT!

RESEARCH INTERESTS

• STRUCTURE-PRESERVING / COMPATIBLE NUMERICAL METHODS FOR PDEs & ODEs | Conservation & dissipation structures / Global & local energy estimates & conservation laws / Asymptotic-preserving integrators / Geometric machine learning
• FINITE ELEMENT THEORY | Finite element exterior calculus (FEEC) / Domain decomposition / Parallel in time (PinT)
• PLASMA MODELLING | Magnetohydrodynamics (MHD) / Hybrid fluid-particle models
• TURBULENT SYSTEMS | Stabilisation / Preconditioning

HIGHLIGHTED PUBLICATIONS & PREPRINTS

Papers

Date	Title	Co-authors
NOV.2025 (arXiv) APR.2026 (SISC)	Helicity-preserving finite element discretization for magnetic relaxation	Mingdong HePatrick FarrellKaibo Hu
SEP.2025 (arXiv) DEC.2025 (SISC)	Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables	Patrick Farrell

Upcoming

Date	Title	Co-authors
AUG.2026 (arXiv) DEC.2026 (CAMWA)	Conservative and dissipative discretisations of multi-conservative ODEs and GENERIC systems	Patrick Farrell

Preprints

In review

Date	Title	Co-authors
OCT.2026 (arXiv)	Structure-preserving discretisations for the quasi-incompressible, thermal Maxwell–Stefan equations	Aaron Baier-ReinioAaron BrunkPatrick FarrellMária Lukáčová-Medviďová
SEP.2026 (arXiv)	Strongly enstrophy-stable integrators for the incompressible Navier–Stokes equations	Matin ShamsPatrick Farrell
JUN.2026 (arXiv)	Automated Galerkin time stepping in Irksome	Pablo BrubeckPatrick FarrellRob KirbyScott MacLachlan
MAY.2026 (arXiv)	Arbitrary-order structure-preserving discretizations for geometric curvature flows	Ganghui ZhangPatrick Farrell

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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

Conference Teaching Other

2026

• 14.SEP–18.DEC | NACHDIPLOM | Visiting ETH Zurich as co-editor of the Nachdiplom Lectures on Finite Element Tensor Calculus with Kaibo Hu (contributed volume in preparation for publication)

2027

• 18–23.APR | OBERWOLFACH | Planning to present at the Oberwolfach Workshop on Structure-Preserving Methods, thanks to the kind invite of the organisers: Elena Celledoni, Chris Eldred, Sina Ober-Blöbaum, Artur Palha and Ari Stern

• APR–JUN | TCC COURSE | Delivering a 16-hour graduate course on Mixed Finite Element Methods and Finite Element Complexes at the Taught Course Centre (Bath, Bristol, Imperial, Oxford, Warwick, Swansea)

• 24–27.MAY | FETC WORKSHOP | Co-organising the Workshop on Finite Element Tensor Calculus (FETC) at the University of Oxford, alongside Kaibo Hu, Jia Jia Qian and Puchun Zhou

• 28–29.MAY | EFEF | Planning to attend the European Finite Element Fair, held at the University of Oxford

• 05–09.JUL | ICOSAHOM | Planning to attend ICOSAHOM at the Politecnico di Milano, where I would be speaking in the minisymposium on material robustness organised by Charles Parker and Umberto Zerbinati

RECENT COLLABORATORS

Patrick Farrell
University of Oxford + Charles University

Kaibo Hu
University of Oxford

Rob Kirby
Baylor University

Mária Lukáčová-Medviďová
Johannes Gutenberg University Mainz

Scott MacLachlan
Memorial University of Newfoundland

Aaron Baier-Reinio
University of Oxford

Pablo Brubeck
University of Oxford

Aaron Brunk
Johannes Gutenberg University Mainz

Ganghui Zhang
Hong Kong Polytechnic University

Mingdong He
University of Oxford

Matin Shams
University of Oxford

Yakov Berchenko-Kogan
Florida Institute of Technology

Evan Gawlik
Santa Clara University

Charles Parker
U.S. Naval Research Laboratory

Dennis Trautwein
University of Regensburg

Umberto Zerbinati
Simula Research Laboratory

Mark Alvares
University of Oxford

Olav Tyssvang
University of Oxford

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OXFORD FEM READING GROUP

Thomas Higham and 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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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
• 🩸 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)