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Publications Influence

A stabilized finite element method based on two local Gauss integrations for the Stokes equations

This paper considers a stabilized method based on the difference between a consistent and an under-integrated mass matrix of the pressure for the Stokes equations approximated by the lowest… Expand

175 15

A new stabilized finite element method for the transient Navier-Stokes equations

Abstract This paper is concerned with the development and analysis of a new stabilized finite element method based on two local Gauss integrations for the two-dimensional transient Navier–Stokes… Expand

111 5- PDF

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

- Xiaobing Feng, Y. He, Chun Liu
- Mathematics, Computer Science
- Math. Comput.
- 20 November 2006

TLDR

76 5- PDF

Local and parallel finite element algorithms for the stokes problem

TLDR

92 4

Convergence of three iterative methods based on the finite element discretization for the stationary Navier–Stokes equations☆

Abstract This paper considers three iterative methods for solving the stationary Navier–Stokes equations. Iterative method I consists in solving the stationary Stokes equations, iterative method II… Expand

109 4

Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics

- Xiaojing Dong, Y. He, Y. Zhang
- Mathematics
- 1 July 2014

Three finite element iterative methods are designed and analyzed for solving 2D/3D stationary incompressible magnetohydrodynamics (MHD). By a new technique, strong uniqueness conditions for both… Expand

44 4

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

- Y. He, Weiwei Sun
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 1 February 2007

TLDR

125 3

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

- Y. He
- Computer Science, Mathematics
- Math. Comput.
- 8 May 2008

TLDR

83 3- PDF

A stabilized finite element method based on local polynomial pressure projection for the stationary Navier--Stokes equations

This article considers a stabilized finite element approximation for the branch of nonsingular solutions of the stationary Navier-Stokes equations based on local polynomial pressure projection by… Expand

105 3

Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation

In this paper we present and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for solving the time-fractional Schrodinger equation, where the fractional… Expand

67 2