Bi-cubic Hermite Bézier FEM Bi-cubic hermite bezy finite element method Cubic Hermite Finite element method Galerkin methods Magnetohydrodynamics Magnetoplasma Massive material injection in tokamak plasma Mathematical operators Multiscale method Numerical methods Numerical models Plasma applications Shock-capturing Shock-capturing stabilization Stabilization Stabilized FEM Stabilized finite element Stabilized finite element method Tokamak plasmas Variational multi-scale method Variational multi-scale methods