Work

A Robust Finite Element Method for Linearized Magnetohydrodynamics on General Domains

Year: 2026

Type: article

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.

Source: Journal of Scientific Computing

DOI: 10.1007/s10915-026-03291-y

Authors: L. Beirão da Veiga, C. Lovadina, M. Trezzi

Institutions: Istituto di Matematica Applicata e Tecnologie Informatiche, University of Milano-Bicocca, University of Milan

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290