Alternating-direction iterative technique for mixed finite element methods for Stokes equations

Haiming Gu; Xiaonan WU

doi:10.1016/j.amc.2004.01.021

Alternating-direction iterative technique for mixed finite element methods for Stokes equations

Haiming Gu^*, Xiaonan WU

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

Abstract

Alternating-direction iterative technique for solving the algebraic systems associated with mixed finite element methods for two- and three-dimensional Stokes equations and the Navier-Stokes equations are formulated. This method, due to Brown [Brown, Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982], is related to the Uzawa iterative method for saddle point problems. Stabilization analysis for the Uzawa iterative method is given.

Original language	English
Pages (from-to)	1035-1047
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	162
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2004.01.021
Publication status	Published - 25 Mar 2005

Scopus Subject Areas

Computational Mathematics
Applied Mathematics

User-Defined Keywords

Alternating-direction iteration technique
Mixed finite element
Stokes equations

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10.1016/j.amc.2004.01.021

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title = "Alternating-direction iterative technique for mixed finite element methods for Stokes equations",

abstract = "Alternating-direction iterative technique for solving the algebraic systems associated with mixed finite element methods for two- and three-dimensional Stokes equations and the Navier-Stokes equations are formulated. This method, due to Brown [Brown, Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982], is related to the Uzawa iterative method for saddle point problems. Stabilization analysis for the Uzawa iterative method is given.",

keywords = "Alternating-direction iteration technique, Mixed finite element, Stokes equations",

author = "Haiming Gu and Xiaonan WU",

note = "Funding Information: This work was supported in part by Foundation of Shandong Province Science and Technology Commission. ",

year = "2005",

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doi = "10.1016/j.amc.2004.01.021",

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T1 - Alternating-direction iterative technique for mixed finite element methods for Stokes equations

AU - Gu, Haiming

AU - WU, Xiaonan

N1 - Funding Information: This work was supported in part by Foundation of Shandong Province Science and Technology Commission.

PY - 2005/3/25

Y1 - 2005/3/25

N2 - Alternating-direction iterative technique for solving the algebraic systems associated with mixed finite element methods for two- and three-dimensional Stokes equations and the Navier-Stokes equations are formulated. This method, due to Brown [Brown, Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982], is related to the Uzawa iterative method for saddle point problems. Stabilization analysis for the Uzawa iterative method is given.

AB - Alternating-direction iterative technique for solving the algebraic systems associated with mixed finite element methods for two- and three-dimensional Stokes equations and the Navier-Stokes equations are formulated. This method, due to Brown [Brown, Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982], is related to the Uzawa iterative method for saddle point problems. Stabilization analysis for the Uzawa iterative method is given.

KW - Alternating-direction iteration technique

KW - Mixed finite element

KW - Stokes equations

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U2 - 10.1016/j.amc.2004.01.021

DO - 10.1016/j.amc.2004.01.021

M3 - Article

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EP - 1047

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 3

ER -

Alternating-direction iterative technique for mixed finite element methods for Stokes equations

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