60 citations · 117 across the 16 of their papers we have counts for
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Convergence analysis of an implicit finite difference method for the inertial Landau-Lifshitz-Gilbert equation
Jingrun Chen, Panchi Li, Cheng Wang
The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG equation, which contains an…
Optimal error estimates of a Crank--Nicolson finite element projection method for magnetohydrodynamic equations
Cheng Wang, Jilu Wang, Zeyu Xia +1
In this paper, we propose and analyze a fully discrete finite element projection method for the magnetohydrodynamic (MHD) equations. A modified Crank--Nicolson method and the Galer…
Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson--Nernst--Planck Equations
Jie Ding, Cheng Wang, Shenggao Zhou
The analysis of structure-preserving numerical methods for the Poisson--Nernst--Planck (PNP) system has attracted growing interests in recent years. In this work, we provide an opt…
A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation
Chun Liu, Cheng Wang, Yiwei Wang
A second-order accurate in time, positivity-preserving, and unconditionally energy stable operator splitting numerical scheme is proposed and analyzed for the system of reaction-di…
Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system
Wenbin Chen, Daozhi Han, Cheng Wang +3
We analyze a fully discrete finite element numerical scheme for the Cahn-Hilliard-Stokes-Darcy system that models two-phase flows in coupled free flow and porous media. To avoid a…
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang +1
We present a detailed convergence analysis for an operator splitting scheme proposed in [C. Liu et al.,J. Comput. Phys., 436, 110253, 2021] for a reaction-diffusion system with det…