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

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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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Authors and Affiliations

  1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, P. R. China

    Yue-qiang Shang  (尚月强) & Zhen-dong Luo  (罗振东)

  2. School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, P. R. China

    Zhen-dong Luo  (罗振东)

Authors
  1. Yue-qiang Shang  (尚月强)
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  2. Zhen-dong Luo  (罗振东)
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Corresponding author

Correspondence to Yue-qiang Shang  (尚月强).

Additional information

Communicated by Xing-ming GUO

Project supported by the National Natural Science Foundation of China (No. 11001061) and the Science and Technology Foundation of Guizhou Province of China (No. [2008]2123)

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Shang, Yq., Luo, Zd. A parallel two-level finite element method for the Navier-Stokes equations. Appl. Math. Mech.-Engl. Ed. 31, 1429–1438 (2010). https://doi.org/10.1007/s10483-010-1373-7

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  • DOI: https://doi.org/10.1007/s10483-010-1373-7

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2000 Mathematics Subject Classification

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