AI 中文总结
该研究提出引入新罚项的改进Arrow-Hurwicz迭代格式求解定常无感应磁流体动力学系统，可实现几何收敛且高效不损失精度。
AI 中文摘要
本研究提出一种新的Arrow-Hurwicz迭代格式，用于求解定常无感应磁流体动力学系统。该格式的主要特点是在电流密度方程中引入新的罚项，这些项在有效控制此类公式中常见的不利混合项方面起核心作用。结果表明该方法可实现几何收敛，数值测试证实新格式在不降低精度的前提下具有高效性。
英文摘要
In this work, we propose a new Arrow-Hurwicz iterative scheme designed to solve the steady inductionless magnetohydrodynamics system. The main feature of the proposed scheme is the introduction of new penalty terms in the current density equation. These terms play a central role in effectively controlling the unfavorable mixed terms that commonly arise in such formulations. The proposed method is shown to achieve geometric convergence. Numerical tests affirm the efficiency of the new scheme without compromising accuracy.
