Robust Finite Elements for linearized Magnetohydrodynamics
Numerical Analysis
2024-01-03 v2 Numerical Analysis
Abstract
We introduce a pressure robust Finite Element Method for the linearized Magnetohydrodynamics equations in three space dimensions, which is provably quasi-robust also in the presence of high fluid and magnetic Reynolds numbers. The proposed scheme uses a non-conforming BDM approach with suitable DG terms for the fluid part, combined with an -conforming choice for the magnetic fluxes. The method introduces also a specific CIP-type stabilization associated to the coupling terms. Finally, the theoretical result are further validated by numerical experiments.
Cite
@article{arxiv.2306.15478,
title = {Robust Finite Elements for linearized Magnetohydrodynamics},
author = {L. Beirão da Veiga and F. Dassi and G. Vacca},
journal= {arXiv preprint arXiv:2306.15478},
year = {2024}
}