4 citations · 11 across the 5 of their papers we have counts for
5 papers
Fully discrete parameter-robust error analysis of a grad-div stabilized Crank-Nicolson artificial compressibility method for the Navier-Stokes equations
Feiyu Chen, Lili Ju, Rihui Lan +1
The artificial compressibility method (ACM) relaxes the incompressibility constraint in the Navier-Stokes equations by introducing a perturbation term proportional to the time deri…
Energy dissipation law and maximum bound principle-preserving linear BDF2 schemes with variable steps for the Allen-Cahn equation
Bingyin Zhang, Hongfei Fu, Rihui Lan +1
In this paper, we propose and analyze a linear, structure-preserving scalar auxiliary variable (SAV) method for solving the Allen--Cahn equation based on the second-order backward…
Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
Baolin Kuang, Hongfei Fu, Shusen Xie
In this paper, we derive two bound-preserving and mass-conserving schemes based on the fractional-step method and high-order compact (HOC) finite difference method for nonlinear co…
Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
Baolin Kuang, Shusen Xie, Hongfei Fu
In this paper, we present a class of high-order and efficient compact difference schemes for nonlinear convection diffusion equations, which can preserve both bounds and mass. For…
Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
Jie Xu, Shusen Xie, Hongfei Fu
In this paper, by introducing two temporal-derivative-dependent auxiliary variables, a linearized and decoupled fourth-order compact finite difference method is developed and analy…