| Issue |
ESAIM: M2AN
Volume 59, Number 2, March-April 2025
|
|
|---|---|---|
| Page(s) | 1075 - 1094 | |
| DOI | https://doi.org/10.1051/m2an/2025015 | |
| Published online | 02 April 2025 | |
Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system
1
Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca, Milan, Italy
2
IMATI-CNR, 27100 Pavia, Italy
3
The Maxwell Institute for Mathematical Sciences & School of Mathematics, University of Edinburgh, Edinburgh, UK
4
Faculty of Mathematics, University of Vienna, 1090 Vienna, Austria
* Corresponding author: lorenzo.mascotto@unimib.it
Received:
29
July
2024
Accepted:
3
March
2025
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.
Mathematics Subject Classification: 65N30 / 65M60 / 76W05
Key words: Resistive magnetohydrodynamics / helicity preservation / error estimates
Publisher note: Unfortunately, there are four instances in the published articles where question marks replace citations from the articles. The article has been corrected on 4 April 2025.
© The authors. Published by EDP Sciences, SMAI 2025
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