Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

We derive error estimates of a finite element method for the approximation of solutions to a seven-fields formulation of a magnetohydrodynamics model, which preserves the energy of the system, and the magnetic and cross helicities on the discrete level.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-04-02
DOI
https://doi.org/10.1051/m2an/2025015/pdf
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
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article

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

Springer Link (Chiba Institute of Technology)
Advanced Numerical Methods in Computational Mathematics
article

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

article en

Abstract

We derive error estimates of a finite element method for the approximation of solutions to a seven-fields formulation of a magnetohydrodynamics model, which preserves the energy of the system, and the magnetic and cross helicities on the discrete level.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 56%
Advanced Numerical Methods in Computational Mathematics
DOISourceOpenAlex
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