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A Regularized Auxiliary Variable (RAV) Approach for Gradient Flows
Zhaoyang Wang, Ping Lin
In this paper, we propose a regularized auxiliary variable (RAV) approach and construct accurate and robust time-discrete schemes for a large class of gradient flows. By introducin…
Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
In this paper, we propose a variable time-step linear relaxation scheme for time-fractional phase-field equations with a free energy density in general polynomial form. The $L1^{+}…
Second-Order Linear Relaxation Schemes for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
This work uses a linear relaxation method to develop efficient numerical schemes for the time-fractional Allen-Cahn and Cahn-Hilliard equations. The L1+-CN formula is used to discr…
A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation
Zhaoyang Wang, Huaxiong Huang, Ping Lin +1
In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of t…
Homogenization principle and numerical analysis for fractional stochastic differential equations with different scales
Zhaoyang Wang, Ping Lin
This work is concerned with fractional stochastic differential equations with different scales. We establish the existence and uniqueness of solutions for Caputo fractional stochas…
Error analysis of an effective numerical scheme for a temporal multiscale plaque growth problem
Zhaoyang Wang, Ping Lin
In this work, we propose a simple numerical scheme based on a fast front-tracking approach for solving a fluid-structure interaction (FSI) problem of plaque growth in blood vessels…