Local and parallel finite element algorithms for the stokes problem
Local and parallel finite element algorithms for the stokes problem
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DOI：
10.1007/s00211-008-0141-2
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发表时间：
2008-04
影响因子：
2.1
通讯作者：
Yinnian He;Jinchao Xu;Aihui Zhou;Jian Li
中科院分区：
文献类型：
--
作者：
Yinnian He;Jinchao Xu;Aihui Zhou;Jian Li
本文提出并分析了Stokes问题的几种基于两网格离散的局部和并行有限元算法。这些算法的动机是观察到，对于斯托克斯问题的解决方案，低频分量可以很好地近似一个相对粗糙的网格和高频分量可以计算在一个细网格上的一些本地和并行程序。分析的一个技术工具是一些局部的先验估计，本文也得到了一般形状规则的网格上的有限元解。
Based on two-grid discretizations, some local and parallel finite element algorithms for the Stokes problem are proposed and analyzed in this paper. These algorithms are motivated by the observation that for a solution to the 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 technical tool for the analysis is some local a priori estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.