A posteriori and constructive a priori error bounds for finite element solutions of the Stokes equations

Mitsuhiro T. Nakao, Nobito Yamamoto, Yoshitaka Watanabe

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We describe a method to estimate the guaranteed error hounds of the finite element solutions for the Stokes problem in mathematically rigorous sense. We show that an a posteriori error can be computed by using the numerical estimates of a constant related to the so-called inf-sup condition for the continuous problem. Also a method to derive the constructive a priori error bounds are considered. Some numerical examples which confirm us the expected rate of convergence are presented.

Original languageEnglish
Pages (from-to)137-158
Number of pages22
JournalJournal of Computational and Applied Mathematics
Volume91
Issue number1
DOIs
Publication statusPublished - 1998 Apr 24
Externally publishedYes

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Keywords

  • Computable error
  • Guaranteed error bounds
  • Stokes equations

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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