Yinnian He

Two-Level Method Based on Finite Element and Crank--Nicolson Extrapolation for the Time-Dependent Navier--Stokes Equations

A fully discrete two-level finite element method (the two-level method) is presented for solving the two-dimensional time-dependent Navier--Stokes problem. The method requires a Crank--Nicolson extrapolation solution

Two-level Stabilized Finite Element Methods for the Steady Navier–Stokes Problem

(u_{H,\tau_0},p_{H,\tau_0})

Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations

on a spatial-time coarse grid

The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data

J_{H,\tau_0}

Local and parallel finite element algorithms for the stokes problem

and a backward Euler solution

Stabilized finite element method based on the Crank–Nicolson extrapolation scheme for the time-dependent Navier–Stokes equations

(u^{h,\tau},p^{h,\tau})

Homotopy analysis method for higher-order fractional integro-differential equations

on a space-time fine grid

Analysis of finite element approximations of a phase field model for two-phase fluids

J_{h,\tau}

Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations

. The error estimates of optimal order of the discrete solution for the two-level method are derived. Compared with the standard Crank--Nicolson extrapolation method (the one-level method) based on a space-time fine grid

Some iterative finite element methods for steady Navier-Stokes equations with different viscosities

J_{h,\tau}