Emergent Mind
The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model
(2201.04417)
Published Jan 12, 2022
in
math.NA
and
cs.NA
Abstract
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.
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