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<p>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.</p>

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A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月11日

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  • L. Beirão da Veiga,
  • C. Lovadina,
  • M. Trezzi

摘要

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.