A robust finite element method for linearized magnetohydrodynamics on general domains

Fuente: arXiv
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Auteurs principaux: da Veiga, L. Beirao, Lovadina, C., Trezzi, M.
Format: Preprint
Publié: 2025
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author da Veiga, L. Beirao
Lovadina, C.
Trezzi, M.
author_facet da Veiga, L. Beirao
Lovadina, C.
Trezzi, M.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_06685
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A robust finite element method for linearized magnetohydrodynamics on general domains
da Veiga, L. Beirao
Lovadina, C.
Trezzi, M.
Numerical Analysis
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.
title A robust finite element method for linearized magnetohydrodynamics on general domains
topic Numerical Analysis
url https://arxiv.org/abs/2506.06685