4 papers
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…
Unconditional stability and convergence analysis of novel regularization schemes for the Navier-Stokes equations
Zhaoyang Wang, Ping Lin
In this paper, we construct novel first- and second-order decoupled schemes for the Navier-Stokes equations based on the penalty method and the sequential regularization method (SR…
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…