New approaches to error estimation and adaptivity for the Stokes and Oseen equations

J. T. Oden*, Serge Prudhomme

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We present a new approach to deliver reliable approximations of the norm of the residuals resulting from finite element solutions to the Stokes and Oseen equations. The method is based upon a global solve in a bubble space using iterative techniques. This provides an alternative to the classical equilibrated element residual methods for which it is necessary to construct proper boundary conditions for each local problem. The method is first used to develop a global a posteriori error estimator. It is then applied in a strategy to control the numerical error in specific outputs or quantities of interest which are functions of the solutions to the Stokes and Oseen equations.

Original languageEnglish (US)
Pages (from-to)3-15
Number of pages13
JournalInternational Journal for Numerical Methods in Fluids
Volume31
Issue number1
StatePublished - Sep 15 1999

Keywords

  • Error estimation
  • Finite element solutions
  • Stokes and Oseen equations

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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