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

被引：0
|
作者：
Da Veiga, Lourenco Beirao [1 ,2 ]
Hu, Kaibo [3 ,4 ]
Mascotto, Lorenzo [1 ,2 ,5 ]
机构：
[1] Univ Milano Bicocca, Dipartimento Matemat & Applicazioni, Milan, Italy
[2] CNR, IMATI, I-27100 Pavia, Italy
[3] Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh, Scotland
[4] Univ Edinburgh, Sch Math, Edinburgh, Scotland
[5] Univ Vienna, Fac Math, A-1090 Vienna, Austria
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2025年 / 59卷 / 02期
关键词：
Resistive magnetohydrodynamics; helicity preservation; error estimates; INTERPOLATION; STATIONARY; EQUATIONS;
D O I：
10.1051/m2an/2025015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1075 / 1094
页数：20
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