Local and parallel finite element algorithms based on two-grid discretization for steady Navier-Stokes equations

被引：0

作者：

马飞遥 ^{[1
]}

马逸尘 ^{[1
]}

沃维丰 ^{[2
]}

机构：

[1] College of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China

[2] Center for Nonlinear Studies, Northwest University, Xi'an 710069, P. R. China

来源：

Applied Mathematics and Mechanics(English Edition) | 2007年 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; finite element method; two-grid; local; parallel;

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法];

学科分类号：

070102 ;

摘要：

Local and parallel finite element algorithms based on two-grid discretization for Navier-Stokes equations in two dimension are presented. Its basis is a coarse finite element space on the global domain and a fine finite element space on the subdomain. The local algorithm consists of finding a solution for a given nonlinear problem in the coarse finite element space and a solution for a linear problem in the fine finite element space, then droping the coarse solution of the region near the boundary. By overlapping domain decomposition, the parallel algorithms are obtained. This paper analyzes the error of these algorithms and gets some error estimates which are better than those of the standard finite element method. The numerical experiments are given too. By analyzing and comparing these results, it is shown that these algorithms are correct and high efficient.

引用

页码：27 / 35

页数：9

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