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20112023
most citedEnergy Stable and Efficient Finite-Difference Nonlinear Multigrid Schemes for the Modified Phase Field Crystal Equation

166 citations · 902 across the 43 of their papers we have counts for

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Showing 2021Show all

9 papers · 1 filter

math.NA2021

Convergence Analysis of A Second-order Accurate, Linear Numerical Scheme for The Landau-Lifshitz Equation with Large Damping Parameters

Yongyong Cai, Jingrun Chen, Cheng Wang +1

A second order accurate, linear numerical method is analyzed for the Landau-Lifshitz equation with large damping parameters. This equation describes the dynamics of magnetization,…

math.NA2021

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…

physics.comp-ph2021★ 1 cited

Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation

Yifei Sun, Jingrun Chen, Rui Du +1

Magnetization dynamics in magnetic materials is modeled by the Landau-Lifshitz-Gilbert (LLG) equation. In the LLG equation, the length of magnetization is conserved and the system…

math.NA2021★ 2 cited

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…

math.NA2021★ 1 cited

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…

physics.comp-ph2021

A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters

Yongyong Cai, Jingrun Chen, Cheng Wang +1

A second order accurate numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in ferromagnetic materials, with…