A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains

Journal of Scientific Computing 2026 Open access

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Authors: Luís Veiga, Carlo Lovadina, MANUEL LUIGI TREZZI
DOI: 10.1007/s10915-026-03291-y
Cited by: 0
References: 29

Abstract

Abstract We generalize and improve the finite element method for linearized Magnetohydrodynamics introduced in (Beirão da Veiga et al., SIAM J. Numer. Anal. 62 (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.

Fields of Study & Subjects

Advanced Numerical Methods in Computational Mathematics Advanced Mathematical Modeling in Engineering Topology Optimization in Engineering

Publication details

Journal / source
Journal of Scientific Computing
Publisher
Springer Science and Business Media LLC
Volume
107
Issue
2
Pages
73–73
Publication date
11 April 2026
Language
EN