A robust finite element method for linearized magnetohydrodynamics on general domains

2025/06/07 by da Veiga, L. Beirao, Lovadina, C., Trezzi, M.
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2506.06685

Abstract

We propose a new finite element method for linearized Magnetohydrodynamics. 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.

Citations

• Pressure and convection robust Finite Elements for Magnetohydrodynamics
• Vem++, a c++ library to handle and play with the Virtual Element Method
• Robust Finite Elements for linearized Magnetohydrodynamics
• The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
• Finite element quasi-interpolation and best approximation
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator

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