3 papers
math.NA2025
Optimal error estimates for a fully discrete, highly efficient decoupled scheme for the 2D/3D diffuse interface two-phase MHD flows
Ke Zhang, Haiyan Su
In this paper, we derive optimal L2- and H1-norm error estimates for a fully discrete convex-splitting decoupled finite element method (FEM) for the two-phase diffuse interface mag…
math.NA2025
Optimal error estimates for 2D/3D incompressible Cahn--Hilliard--magnetohydrodynamic equations
Haiyan Su, Jilu Wang, Zeyu Xia +1
This paper focuses on an optimal error analysis of a fully discrete finite element scheme for the Cahn--Hilliard--magnetohydrodynamic (CH-MHD) system. The method use the standard i…
math.NA2024
A fully discretization, unconditionally energy stable finite element method solving the thermodynamically consistent diffuse interface model for incompressible two-phase MHD flows with large density ratios
Ke Zhang
A diffusion interface two-phase magnetohydrodynamic model has been used for matched densities in our previous work [1,2], which may limit the applications of the model. In this wor…