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math.NA2024
A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics
Tuan Anh Dao, Murtazo Nazarov
We present a novel high-order nodal artificial viscosity approach designed for solving Magnetohydrodynamics (MHD) equations. Unlike conventional methods, our approach eliminates th…
math.NA2024
Viscous regularization of the MHD equations
Tuan Anh Dao, Lukas Lundgren, Murtazo Nazarov
Nonlinear conservation laws such as the system of ideal magnetohydrodynamics (MHD) equations may develop singularities over time. In these situations, viscous regularization is a c…