一般区域线性化磁流体力学的鲁棒有限元方法。

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Scientific Computing Pub Date : 2026-01-01 Epub Date: 2026-04-11 DOI:10.1007/s10915-026-03291-y

L Beirão da Veiga, C Lovadina, M Trezzi

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引用次数: 0

摘要

本文推广并改进了bebe o da Veiga et al., SIAM J. number等文献中线性化磁流体力学的有限元方法。植物学报，62（4):1539-1564(2024)）。主要的新颖之处在于所提出的方案也能够处理非凸域和非正则解。该方法对流体和磁雷诺数均具有压力鲁棒性和准鲁棒性。一组数值试验证实了我们的理论发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Journal of Scientific Computing 数学-应用数学

CiteScore

4.00

自引率

12.00%

发文量

302

审稿时长

4-8 weeks

期刊介绍： Journal of Scientific Computing is an international interdisciplinary forum for the publication of papers on state-of-the-art developments in scientific computing and its applications in science and engineering. The journal publishes high-quality, peer-reviewed original papers, review papers and short communications on scientific computing.