1 research outputs found
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
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