Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system
Numerical Analysis
2025-03-04 v2 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2407.19748,
title = {Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system},
author = {L. Beirao da Veiga and K. Hu and L. Mascotto},
journal= {arXiv preprint arXiv:2407.19748},
year = {2025}
}