A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations

Houde Han, Xiaonan Wu

Research output: Contribution to journalJournal articlepeer-review

52 Citations (Scopus)
41 Downloads (Pure)

Abstract

A new mixed finite element method is formulated for the Stokes equations, in which the two components of the velocity and the pressure are defined on different meshes. First-order error estimates are obtained for both the velocity and the pressure. Also, the well-known MAC method is derived from the resulting finite element method.

Original languageEnglish
Pages (from-to)560-571
Number of pages12
JournalSIAM Journal on Numerical Analysis
Volume35
Issue number2
DOIs
Publication statusPublished - Mar 1998

Scopus Subject Areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • MAC scheme
  • Mixed finite element method
  • Stokes equations

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