# Local and parallel finite element algorithms for the stokes problem

Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li

Research output: Contribution to journalArticle

64 Citations (Scopus)

### Abstract

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.

Original language English (US) 415-434 20 Numerische Mathematik 109 3 https://doi.org/10.1007/s00211-008-0141-2 Published - May 1 2008

### Fingerprint

Stokes Problem
Finite Element
Grid
Finite Element Solution
A Priori Estimates
Low Frequency
Discretization

### All Science Journal Classification (ASJC) codes

• Computational Mathematics
• Applied Mathematics

### Cite this

He, Yinnian ; Xu, Jinchao ; Zhou, Aihui ; Li, Jian. / Local and parallel finite element algorithms for the stokes problem. In: Numerische Mathematik. 2008 ; Vol. 109, No. 3. pp. 415-434.
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Local and parallel finite element algorithms for the stokes problem. / He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian.

In: Numerische Mathematik, Vol. 109, No. 3, 01.05.2008, p. 415-434.

Research output: Contribution to journalArticle

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