Local and parallel finite element algorithms for the stokes problem

Yinnian He; Jinchao Xu; Aihui Zhou; Jian Li

doi:10.1007/s00211-008-0141-2

Local and parallel finite element algorithms for the stokes problem

Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li

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64 Scopus citations

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)
Pages (from-to)	415-434
Number of pages	20
Journal	Numerische Mathematik
Volume	109
Issue number	3
DOIs	https://doi.org/10.1007/s00211-008-0141-2
State	Published - May 1 2008

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All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Cite this

He, Y., Xu, J., Zhou, A., & Li, J. (2008). Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik, 109(3), 415-434. https://doi.org/10.1007/s00211-008-0141-2

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10.1007/s00211-008-0141-2