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arXiv · 2306.15478

Robust Finite Elements for linearized Magnetohydrodynamics

L. Beirão da Veiga·F. Dassi·G. Vacca
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Abstract

We introduce a pressure robust Finite Element Method for the linearized Magnetohydrodynamics equations in three space dimensions, which is provably quasi-robust also in the presence of high fluid and magnetic Reynolds numbers. The proposed scheme uses a non-conforming BDM approach with suitable DG terms for the fluid part, combined with an $H^1$-conforming choice for the magnetic fluxes. The method introduces also a specific CIP-type stabilization associated to the coupling terms. Finally, the theoretical result are further validated by numerical experiments.

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L. Beirão da Veiga, F. Dassi, G. Vacca. 2023-06-27. Robust Finite Elements for linearized Magnetohydrodynamics. https://arxiv.org/abs/2306.15478

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