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

Research output: Contribution to journal › Article › peer-review

120 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. © 2008 Springer-Verlag.

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
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s00211-008-0141-2

Cite this

@article{5c1b49e8ea7d4574b3db59d696968bf7,

title = "Local and parallel finite element algorithms for the stokes problem",

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. {\textcopyright} 2008 Springer-Verlag.",

author = "Yinnian He and Jinchao Xu and Aihui Zhou and Jian Li",

note = "Generated from Scopus record by KAUST IRTS on 2023-02-15",

year = "2008",

month = may,

day = "1",

doi = "10.1007/s00211-008-0141-2",

language = "English (US)",

volume = "109",

pages = "415--434",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - Local and parallel finite element algorithms for the stokes problem

AU - He, Yinnian

AU - Xu, Jinchao

AU - Zhou, Aihui

AU - Li, Jian

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2008/5/1

Y1 - 2008/5/1

N2 - 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. © 2008 Springer-Verlag.

AB - 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. © 2008 Springer-Verlag.

UR - http://link.springer.com/10.1007/s00211-008-0141-2

UR - http://www.scopus.com/inward/record.url?scp=43149109076&partnerID=8YFLogxK

U2 - 10.1007/s00211-008-0141-2

DO - 10.1007/s00211-008-0141-2

M3 - Article

SN - 0029-599X

VL - 109

SP - 415

EP - 434

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 3

ER -

Local and parallel finite element algorithms for the stokes problem

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this