论文标题
3D电阻磁水动力学模型的虚拟元素方法
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
论文作者
论文摘要
我们为在三个空间维度中的时间依赖性电阻磁流体动力学方程提供了一个四场虚拟元件离散化，重点是半污垢公式。所提出的方法采用一般的多面部性网格，并保证毫无疑问的速度和磁场，这些速度与机器精度有散发。我们在适当的规律性假设下提供了完整的收敛分析，该假设通过一些数值测试验证。
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.
