13 citations · 13 across the 8 of their papers we have counts for
8 papers
A linear mass-lumped finite element method for the Landau-Lifshitz-Gilbert equation: unconditional energy dissipation and length preservation
Qiumei Huang, Binghong Li, Xiaoli Li +2
We develop a linear, unconditionally energy-dissipative, mass-lumped finite element method for the highly nonlinear Landau--Lifshitz--Gilbert (LLG) equation on quasi-uniform triang…
A unified framework of fully decoupled, bound-preserving and energy-dissipative schemes for two-phase flow in porous media
Xiaoli Li, Cheng Wang, Yujing Yan +1
Developing high-order numerical schemes for two-phase flow in porous media that preserve key physical properties remains a significant challenge in numerical analysis. In this arti…
Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation
Binghong Li, Xiaoli Li, Cheng Wang +1
The Landau-Lifshitz-Gilbert (LLG) equation, regarded as a gradient flow with manifold constraint, is the fundamental model describing magnetization dynamics in ferromagnetic materi…
An Efficient Unconditionally Energy-Stable Numerical Scheme for Bose--Einstein Condensate
Jing Guo, Cheng Wang, Dong Wang
A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange mu…
A second-order accurate, positivity-preserving numerical scheme for the Poisson-Nernst-Planck-Navier-Stokes system
Yuzhe Qin, Cheng Wang
In this paper, we propose and analyze a second order accurate (in both time and space) numerical scheme for the Poisson-Nernst-Planck-Navier-Stokes system, which describes the ion…
Optimal convergence analysis of fully discrete SAVs-FEM for the Cahn-Hilliard-Navier-Stokes equations
Haijun Gao, Xi Li, Cheng Wang +1
We construct a fully discrete numerical scheme that is linear, decoupled, and unconditionally energy stable, and analyze its optimal error estimates for the Cahn-Hilliard-Navier-St…
Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities
Jiancheng Wang, Maojun Li, Cheng Wang
In this paper, we present two multiple scalar auxiliary variable (MSAV)-based, finite element numerical schemes for the Abels-Garcke-Gr{ü}n (AGG) model, which is a thermodynamicall…
A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis
Jie Ding, Cheng Wang, Shenggao Zhou
This paper proposes a second-order accurate numerical scheme for the Patlak-Keller-Segel system with various mobilities for the description of chemotaxis. Formulated in a variation…