4 papers
High-order Energy-stable and Charge-conservative Lagrangian FEM for 3D Incompressible Inductionless MHD equations with Variable Density
Lingxiao Li, Bijie Song, Haiyan Su +1
In this paper, we consider the solution of variable-density, incompressible inductionless magnetohydrodynamic (MHD) equations with moving interface. We propose a high-order, energy…
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…
A divergence-free parametric finite element method for 3D Stokes equations on curved domains
Lingxiao Li, Haiyan Su, He Zhang +1
The Stokes equations play an important role in the incompressible flow simulation. In this paper, a novel divergence-free parametric mixed finite element method is proposed for sol…
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…