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math.NA2025
A decoupled Crank-Nicolson leap-frog scheme for the unsteady bioconvection flows problem with concentration dependent viscosity
Chenyang Li
A fully discrete Crank--Nicolson Leap--Frog (CNLF) scheme is proposed and analyzed for the unsteady bioconvection flow problem with concentration-dependent viscosity. Spatial discr…
math.NA2025
Unconditionally stable Gauge-Uzawa finite element schemes for the chemo-repulsion-Navier-Stokes system
Chenyang Li, Ping Lin, Haibiao Zheng
This paper investigates a Gauge-Uzawa finite element method (GU-FEM) for the two-dimensional chemo-repulsion-Navier-Stokes (CRNS) system. The proposed approach establishes a fully…
math.NA2025
Error analysis of a Euler finite element scheme for Natural convection model with variable density
Li Hang, Chenyang Li
In this paper, we derive first-order Euler finite element discretization schemes for a time-dependent natural convection model with variable density (NCVD). The model is governed b…