1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2025
Variational discretizations of viscous and resistive magnetohydrodynamics using structure-preserving finite elements
Valentin Carlier
We propose a novel structure preserving discretization for viscous and resistive magnetohydrodynamics. We follow the recent line of work on discrete least action principle for flui…
physics.plasm-ph2025★ 1 cited
A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation
Valentin Carlier, Martin Campos-Pinto
We present a new variational formulation for Viscous and resistive Hall Magnetohydrodynamic. We first find a variational principle for ideal HMHD by applying the physical assumptio…
math.NA2022
Invariant domain preserving high-order spectral discontinuous approximations of hyperbolic systems
Florent Renac, Valentin Carlier
We propose a limiting procedure to preserve invariant domains with time explicit discrete high-order spectral discontinuous approximate solutions to hyperbolic systems of conservat…