An analysis for the compressible Stokes equations by first-order system of least-squares finite element method

Sang Dong Kim, Eunjung Lee

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This article applies the first-order system least-squares (fosls) finite element method developed by Cai, Manteuffel and McCormick to the compressible Stokes equations. By introducing a new dependent velocity flux variable, we recast the compressible Stokes equations as a first-order system. Then it is shown that the ellipticity and continuity hold for the least-squares functionals employing the mixture of H-1 and L2, so that the fosls finite element methods yield best approximations for the velocity flux and velocity.

Original languageEnglish
Pages (from-to)689-699
Number of pages11
JournalNumerical Methods for Partial Differential Equations
Volume17
Issue number6
DOIs
Publication statusPublished - 2001 Jan 1

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Least-squares Finite Element Method
First-order System
Stokes Equations
Finite element method
Fluxes
Ellipticity
Best Approximation
Least Squares
Dependent

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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AB - This article applies the first-order system least-squares (fosls) finite element method developed by Cai, Manteuffel and McCormick to the compressible Stokes equations. By introducing a new dependent velocity flux variable, we recast the compressible Stokes equations as a first-order system. Then it is shown that the ellipticity and continuity hold for the least-squares functionals employing the mixture of H-1 and L2, so that the fosls finite element methods yield best approximations for the velocity flux and velocity.

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