AI 中文总结
研究铁磁磁流体动力学模型，提出基于欧拉方法的全离散线性有限元格式求解方程，通过误差分析和数值实验证实该格式的有效性。
AI 中文摘要
铁磁磁流体动力学方程是一个非线性偏微分方程组，用于模拟具有固有磁化强度的导电流体的流动。本文提出了一种基于欧拉方法的全离散线性有限元格式来逼近这些方程的解，并对该格式进行误差分析。还包含数值实验以证实理论结果。
英文摘要
The ferromagnetic magnetohydrodynamic equations are a non-linear PDE system that models the flow of an electrically conducting fluid that also has intrinsic magnetisation. In this paper, we propose a fully-discrete linear finite element scheme based on Euler's method to approximate the solutions to these equations and perform an error analysis for the scheme. Numerical experiments have been included to corroborate our theoretical results.
