| Navier－Stokes方程的非线性Galerkin方法和Crank－Nicolson逼近 |
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| 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) |
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| 作者姓名： | 何银年 黄庆怀 |
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| 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。
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| 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 |
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| 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) |
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| Authors: | He Yinnian Huang Qinghuai |
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| Affiliation: | School of Science |
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| 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. |
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| Keywords: | navier-stokes equations nonlinear galerkin method crank-nicolson approximation |
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