中文摘要：

基于二格子的 discretizations，在这篇论文，某新本地人和平行有限元素算法为静止不可压缩的 Navier-Stokesproblem 被建议并且分析。这些算法被为 Navier-Stokesproblem 的一个答案，低频率部件能被一个相对粗糙的格子接近很好，高频率部件能被某本地、平行的过程在一个好格子上计算的观察激发。为分析的一个主要技术工具是也在一般形状常规的格子上为有限元素答案在这篇论文被获得的一些本地先验的错误估计。

英文摘要：

Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier- Stokes problem. These algorithms are motivated by the observation that for a solution to the Navier-Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some local a priori error estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.