PUBLICATIONS & PREPRINTS

Preprints

(In review)

Date	Title	Co-authors
29.APR.2025 (arXiv)	Enforcing conservation laws and dissipation inequalities numerically via auxiliary variables	Patrick Farrell
20.JAN.2025 (arXiv)	Helicity-preserving finite element discretization for magnetic relaxation	Mingdong He, Patrick Farrell, Kaibo Hu

OTHER WORKS

Date	Title	Co-authors
16.JUL.2024 (arXiv)	High-order conservative and accurately dissipative numerical integrators via auxiliary variables	Patrick Farrell

IN PREPARATION

(Drafts available on request)

Title	Co-authors
Uniformly accurate asymptotic-preserving integrators for charged particles
An augmented Lagrangian preconditioner for natural convection at high Reynolds number	Alexei Gazca, Patrick Farrell
Enstrophy-stable integrators for the incompressible Navier–Stokes equations on under-resolved meshes	Matin Shams
Conservative–dissipative integrators for reversible–irreversible systems
Globally and locally structure-preserving mixed finite element methods for boundary-value problems

IN PREPARATION

Title	Co-authors
Conservative integrators exhibit greater stability than symplectic integrators on the Toda lattice	Sebastian Ohlig

(Click titles for further details, open problems, talks and more)