We present a four-field Virtual Element discretization for the time-dependent resistive Magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete formulation. The proposed method employs general polyhedral meshes and guarantees velocity and magnetic fields that are divergence free up to machine precision. We provide a full convergence analysis under suitable regularity assumptions, which is validated by some numerical tests.

翻译：我们为三个空间维度中基于时间的抗磁流体动力学方程式提出了一个四野虚拟分解要素,侧重于半分立的配方。拟议方法使用普通聚光膜,保证速度和磁场的分离,不至于达到机器精确度。我们根据适当的规律假设提供了完全的趋同分析,并经过一些数字测试加以验证。