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非定常Stokes方程的稳定化全离散有限体积元格式
A STABILIZED FULLY DISCRETE FINITE VOLUME ELEMENT FORMULATION FOR NON-STATIONARY STOKES EQUATION
【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.
【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.
【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;
【Key words】 non-stationary Stokes equation; finite volume element formulation; stabilized fully discrete formulation; error estimate;
【Key words】 non-stationary Stokes equation; finite volume element formulation; stabilized fully discrete formulation; error estimate;
【基金】 国家自然科学基金(批准号:10871022和11061009);河北省自然科学基金(批准号:A2010001663)资助项目
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,2011年02期
- 【分类号】O241.82
- 【被引频次】8
- 【下载频次】175