A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains

(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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Publication Details

Journal
Journal of Scientific Computing
Published
2026-04-11
DOI
https://doi.org/10.1007/s10915-026-03291-y
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
0.00

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article

A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains

Luís Veiga, Carlo Lovadina, Manuel Trezzi
Journal of Scientific Computing
Advanced Numerical Methods in Computational Mathematics
article

A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains

Luís Veiga, Carlo Lovadina, Manuel Trezzi
article en

Abstract

(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.

Journal of Scientific ComputingVol. 107(2)
University of Milan (IT), Istituto di Matematica Applicata e Tecnologie Informatiche (IT), University of Milano-Bicocca (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Milano, European Commission, Gruppo Nazionale per il Calcolo Scientifico, European Research Council
Openalex Percentile: Top 99%
Advanced Numerical Methods in Computational Mathematics
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