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

Haiming Gu*, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1035-1047
Number of pages13
JournalApplied Mathematics and Computation
Volume162
Issue number3
DOIs
Publication statusPublished - 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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