A posteriori error estimation and error control for finite element approximations of the time-dependent Navier-Stokes equations

Serge Prudhomme, J. T. Oden*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We present an approach to estimate numerical errors in finite element approximations of the timedependent Navier-Stokes equations along with a strategy to control these errors. The error estimators and the error control procedure are based on the residuals of the Navier-Stokes equations, which are shown to be comparable to error components in the velocity variable. The present methodology applies to the estimation of numerical errors due to the spatial discretization only. Its performance is demonstrated for twodimensional channel flows past a cylinder in the periodic regime. copy; 1999 Elsevier Science B.V. All rights reserved.

Original languageEnglish (US)
Pages (from-to)247-262
Number of pages16
JournalFinite Elements in Analysis and Design
Volume33
Issue number4
DOIs
StatePublished - Nov 15 1999

Keywords

  • A posteriori estimation
  • Mesh adaptation
  • Navier-stokes equations

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

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