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Peer-reviewed veterinary case report

A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains.

Year:
2026
Authors:
da Veiga LB et al.
Affiliation:
Dipartimento di Matematica e Applicazioni · Italy

Abstract

We generalize and improve the finite element method for linearized Magnetohydrodynamics introduced in (Beirão da Veiga et al., SIAM J. Numer. Anal. <b>62</b>(4):1539-1564 (2024)). 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. A set of numerical tests confirms our theoretical findings.

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Original publication: https://europepmc.org/article/MED/41978767