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math.NA2021
A high-order residual-based viscosity finite element method for the ideal MHD equations
Tuan Anh Dao, Murtazo Nazarov
We present a high order, robust, and stable shock-capturing technique for finite element approximations of ideal MHD. The method uses continuous Lagrange polynomials in space and e…
math.NA2021★ 1 cited
Energy stable and accurate coupling of finite element methods and finite difference methods
Tuan Anh Dao, Ken Mattsson, Murtazo Nazarov
We introduce a hybrid method to couple continuous Galerkin finite element methods and high-order finite difference methods in a nonconforming multiblock fashion. The aim is to opti…