A parallel two-level finite element method for the Navier-Stokes equations

被引：0
|
作者：
Yue-qiang Shang
Zhen-dong Luo
机构：
[1] Guizhou Normal University,School of Mathematics and Computer Science
[2] North China Electric Power University,School of Mathematics and Physics
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
Navier-Stokes equations; finite element; two-level method; overlapping domain decomposition; parallel algorithm; O241.82; 65N15; 65N55; 76D05; 76M10;
D O I：
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学科分类号：
摘要：
Based on domain decomposition, a parallel two-level finite element method for the stationary Navier-Stokes equations is proposed and analyzed. The basic idea of the method is first to solve the Navier-Stokes equations on a coarse grid, then to solve the resulted residual equations in parallel on a fine grid. This method has low communication complexity. It can be implemented easily. By local a priori error estimate for finite element discretizations, error bounds of the approximate solution are derived. Numerical results are also given to illustrate the high efficiency of the method.
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页码：1429 / 1438
页数：9
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