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Navier-Stokes方程的非线性Galerkin方法和Crank-Nicolson逼近
引用本文:何银年,黄庆怀. Navier-Stokes方程的非线性Galerkin方法和Crank-Nicolson逼近[J]. 西安交通大学学报, 1995, 0(2)
作者姓名:何银年  黄庆怀
摘    要:研究二维非定常的Navier-Stokes方程的初边值问题,并且给出了数值求解Navier-Stokes方程的一种新的全离散化格式,这种格式在于将空间变量离散的非线性Galerkin有限元方法和时间变量离散的Crank-Nicolson逼近结合起来,此外,对应于这种格式的逼近解的收敛精度给予了证明。

关 键 词:Navier-Stokes方程,非线性Galerkin方法,Crank-Nicolson逼近

NONLINEAR GALERKIN METHOD AND CRAND-NICOLSON APPROXIMATION FOR THE NAVIER STOKES EQUATIONS
He Yinnian, Huang Qinghuai. NONLINEAR GALERKIN METHOD AND CRAND-NICOLSON APPROXIMATION FOR THE NAVIER STOKES EQUATIONS[J]. Journal of Xi'an Jiaotong University, 1995, 0(2)
Authors:He Yinnian   Huang Qinghuai
Affiliation:School of Science
Abstract:This paper studies the initial-boundary value problem of 2-D nonstationary Navier-Stokes equations and gives a new full discrete numerical scheme,which consists in combiningthe nonlinear Galerkin finite element method with the Crank-Nicolson approximation,More-over,this paper provides the convergence accuracy of the numerical solution correspondingto this scheme.
Keywords:navier-stokes equations nonlinear galerkin method crank-nicolson approximation
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