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非定常Stokes方程的稳定化全离散有限体积元格式
引用本文:安静,孙萍,罗振东,黄晓鸣.非定常Stokes方程的稳定化全离散有限体积元格式[J].计算数学,2011,33(2):213-224.
作者姓名:安静  孙萍  罗振东  黄晓鸣
作者单位:1. 贵州师范大学数学与计算机科学学院, 贵阳 550001; 2. 北京交通大学理学院, 北京 100044
基金项目:国家自然科学基金,河北省自然科学基金
摘    要:本文研究非定常Stokes方程的有限体积元方法,给出一种基于两个局部高斯积分的稳定化全离散格式,并给其有限体积元解的误差分析.

关 键 词:非定常的Stokes方程  有限体积元格式  稳定化全离散格式  误差估计
收稿时间:2010-09-08;

A STABILIZED FULLY DISCRETE FINITE VOLUME ELEMENT FORMULATION FOR NON-STATIONARY STOKES EQUATION
An Jing,Sun Ping,Luo Zhendong,Huang Xiaoming.A STABILIZED FULLY DISCRETE FINITE VOLUME ELEMENT FORMULATION FOR NON-STATIONARY STOKES EQUATION[J].Mathematica Numerica Sinica,2011,33(2):213-224.
Authors:An Jing  Sun Ping  Luo Zhendong  Huang Xiaoming
Institution:1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China; 2. School of Science, Beijing Jiaotong University, Beijing 100044, China
Abstract:In this paper, a finite volume element method for non-stationary Stokes equation is studied and a stabilized fully discrete finite volume element formulation based on on two local Gauss integrals for non-stationary Stokes equation is derived. The errors of solution for this formulation is analyzed.
Keywords:non-stationary Stokes equation  finite volume element formulation  stabilized fully discrete formulation  error estimate
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