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.

引用

页码：1075 / 1094

页数：20

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