16 citations · 79 across the 44 of their papers we have counts for
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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…
The Cauchy problem for the nonlinear viscous Boussinesq equation in the framework
Wenhui Chen, Tuan Anh Dao
In this paper, we study the viscous Boussinesq equation in the whole space , which describes the propagation of small amplitude and long waves on the surface of water…
Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball
Tuan Anh Dao, Masahiro Ikeda
In this paper, we consider the initial-boundary value problems with several fundamental boundary conditions (the Dirichlet/Neumann/Robin boundary condition) for the multi-component…
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…
Global existence results for semi-linear structurally damped wave equations with nonlinear convection
Tuan Anh Dao, Hiroshi Takeda
In this paper, we consider the Cauchy problem for semi-linear wave equations with structural damping term , where is a constant. As being mentioned in [8,10], th…