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

Mitsuhiro T. Nakao*, Nobito Yamamoto, Yoshitaka Watanabe

*この研究の対応する著者

研究成果: Article査読

8 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)137-158
ページ数22
ジャーナルJournal of Computational and Applied Mathematics
91
1
DOI
出版ステータスPublished - 1998 4 24
外部発表はい

ASJC Scopus subject areas

  • 計算数学
  • 応用数学

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