The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
Numerical Analysis
2022-12-29 v2 Numerical Analysis
Abstract
We present a four-field Virtual Element discretization for the time-dependent resistive Magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and guarantees velocity and magnetic fields that are divergence free up to machine precision. We provide a full convergence analysis under suitable regularity assumptions, which is validated by some numerical tests.
Cite
@article{arxiv.2201.04417,
title = {The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model},
author = {Lourenço Beirão da Veiga and Franco Dassi and Gianmarco Manzini and Lorenzo Mascotto},
journal= {arXiv preprint arXiv:2201.04417},
year = {2022}
}