3 papers
math.NA2017
Numerical approximations of the Cahn-Hilliard and Allen-Cahn Equations with general nonlinear potential using the Invariant Energy Quadratization approach
Xiaofeng Yang, Guodong Zhang
In this paper, we carry out stability and error analyses for two first-order, semi-discrete time stepping schemes, which are based on the newly developed Invariant Energy Quadratiz…
math.NA2017
Stability and convergence analysis of A linear, fully decoupled and unconditionally energy stable scheme for magneto-hydrodynamic equations
Guodong Zhang, Xiaoming He, Xiaofeng Yang
In this paper, we consider numerical approximations for solving the nonlinear magneto-hydrodynamical system, that couples the Navier-Stokes equations and Maxwell equations together…
math.NA2016
Error estimates for structure-preserving discretization of the incompressible MHD system
Yicong Ma, Jinchao Xu, Guodong Zhang
In this paper, we carry out the error analysis for the structure-preserving discretization of the incompressible MHD system. This system, as a coupled system of Navier-Stokes equat…