A robust finite element method for linearized magnetohydrodynamics on general domains
Numerical Analysis
2025-06-10 v1 Numerical Analysis
Abstract
We propose a new finite element method for linearized Magnetohydrodynamics. The main novelty is that the proposed scheme is able to handle also non-convex domains and less regular solutions. The method is proved to be pressure robust and quasi-robust with respect to both fluid and magnetic Reynolds numbers.
Cite
@article{arxiv.2506.06685,
title = {A robust finite element method for linearized magnetohydrodynamics on general domains},
author = {L. Beirao da Veiga and C. Lovadina and M. Trezzi},
journal= {arXiv preprint arXiv:2506.06685},
year = {2025}
}