2 citations · 2 across the 5 of their papers we have counts for
5 papers
Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations
Xiaodi Zhang, Xiaonian Long
In this paper, we consider numerical approximations for solving the micropolar Navier-Stokes (MNS) equations, that couples the Navier-Stokes equations and the angular momentum equa…
Stability and error analysis of the SAV schemes for the inductionless MHD equations
Xiaodi Zhang, Xianghai Zhou
In this paper, we consider numerical approximations for solving the inductionless magnetohydrodynamic (MHD) equations. By utilizing the scalar auxiliary variable (SAV) approach for…
A uniform preconditioner for a Newton algorithm for total-variation minimization and minimum-surface problems
Xue-Cheng Tai, Ragnar Winther, Xiaodi Zhang +1
Solution methods for the nonlinear partial differential equation of the Rudin-Osher-Fatemi (ROF) and minimum-surface models are fundamental for many modern applications. Many effic…
Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for a inductionless magnetohydrodynamic phase-field model
Xiaorong Wang, Xiaodi Zhang
In this paper, we consider the numerical approximation for a diffuse interface model of the two-phase incompressible inductionless magnetohydrodynamics problem. This model consists…
Sharp-interface limits of the diffuse interface model for two-phase inductionless magnetohydrodynamic fluids
Xiaodi Zhang
In this paper, we propose and analyze a diffuse interface model for inductionless magnetohydrodynamic fluids. The model couples a convective Cahn-Hilliard equation for the evolutio…