Local and parallel finite element algorithms for the stokes problem

Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li

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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 languageEnglish (US)
Pages (from-to)415-434
Number of pages20
JournalNumerische Mathematik
Volume109
Issue number3
DOIs
StatePublished - May 1 2008

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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