Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
Y He - IMA Journal of Numerical Analysis, 2015 - academic.oup.com
In this paper, we consider the initial-boundary value problem for the three-dimensional
incompressible magnetohydrodynamic equations. We first establish certain regularity results …
incompressible magnetohydrodynamic equations. We first establish certain regularity results …
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations
Y He - SIAM Journal on Numerical Analysis, 2003 - SIAM
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 …
solving the two-dimensional time-dependent Navier--Stokes problem. The method requires …
Convergence of three iterative methods based on the finite element discretization for the stationary Navier–Stokes equations
Y He, J Li - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
This paper considers three iterative methods for solving the stationary Navier–Stokes
equations. Iterative method I consists in solving the stationary Stokes equations, iterative …
equations. Iterative method I consists in solving the stationary Stokes equations, iterative …
Stability and convergence of the Crank–Nicolson/Adams–Bashforth scheme for the time-dependent Navier–Stokes equations
Y He, W Sun - SIAM Journal on Numerical Analysis, 2007 - SIAM
In this paper, we study the stability and convergence of the Crank–Nicolson/Adams–
Bashforth scheme for the two-dimensional nonstationary Navier–Stokes equations. A finite …
Bashforth scheme for the two-dimensional nonstationary Navier–Stokes equations. A finite …
The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
Y He - Mathematics of Computation, 2008 - ams.org
This paper considers the stability and convergence results for the Euler implicit/explicit
scheme applied to the spatially discretized two-dimensional (2D) time-dependent Navier …
scheme applied to the spatially discretized two-dimensional (2D) time-dependent Navier …
A new stabilized finite element method for the transient Navier–Stokes equations
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 …
element method based on two local Gauss integrations for the two-dimensional transient …
Efficient and long-time accurate second-order methods for the Stokes--Darcy system
We propose and study two second-order in time implicit-explicit methods for the coupled
Stokes--Darcy system that governs flows in karst aquifers and other subsurface flow …
Stokes--Darcy system that governs flows in karst aquifers and other subsurface flow …
[图书][B] Finite volume methods for the incompressible Navier-stokes equations
Recently, engineers, scientists, and mathematicians have concentrated their efforts on
numerical methods for solving the Navier–Stokes equations. The reason is that these …
numerical methods for solving the Navier–Stokes equations. The reason is that these …
Long time stability of a classical efficient scheme for two-dimensional Navier–Stokes equations
This paper considers the long-time stability property of a popular semi-implicit scheme for
the two-dimensional incompressible Navier–Stokes equations in a periodic box that treats …
the two-dimensional incompressible Navier–Stokes equations in a periodic box that treats …
Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier–Stokes equations
The unconditional stability and convergence analysis of the Euler implicit/explicit scheme
with finite element discretization are studied for the incompressible time-dependent Navier …
with finite element discretization are studied for the incompressible time-dependent Navier …