A parallel two-level finite element method for the Navier-Stokes equations |
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Authors: | Yue-qiang Shang Zhen-dong Luo |
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Affiliation: | 1. School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,P.R.China 2. School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,P.R.China;School of Mathematics and Physics,North China Electric Power University,Beijing 102206,P.R.China |
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Abstract: | 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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Keywords: | Navier-Stokes equations finite element two-level method overlapping domain decomposition parallel algorithm |
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