Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

Haiming Gu*, Xiaonan WU

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review


Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L2 norms applied to this system yields optimal discretization error estimates.

Original languageEnglish
Pages (from-to)441-453
Number of pages13
JournalNumerical Methods for Partial Differential Equations
Issue number4
Publication statusPublished - Jul 2002

Scopus Subject Areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Evolutionary
  • Least-squares mixed finite element
  • Navier-Stokes equations


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