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

作　　者：尚月强 罗振东 

机构地区：[1]School of Mathematics and Computer Science,Guizhou Normal University [2]School of Mathematics and Physics,North China Electric Power University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第11期1429-1438,共10页应用数学和力学（英文版）

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

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.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.

关 键 词：Navier-Stokes equations finite element two-level method overlapping domain decomposition parallel algorithm 

分 类 号：O241.82[理学—计算数学]