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.
Authors
- Lorenzo Mascotto (ORCID: https://orcid.org/0000-0003-3401-6652)
- L. Beirão da Veiga (ORCID: https://orcid.org/0000-0001-5895-469X)
- Kaibo Hu (ORCID: https://orcid.org/0000-0001-9574-9644)
Publication Details
- Journal
- ESAIM. Mathematical modelling and numerical analysis
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1051/m2an/2025015
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Royal Society
- European Commission
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per il Calcolo Scientifico
- European Research Council