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The Virtual Element Method for the 3D Resistive Magnetohydrodynamic model (2201.04417v2)
Published 12 Jan 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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