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

Mitsuhiro T. Nakao, Nobito Yamamoto, Yoshitaka Watanabe

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

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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.

元の言語英語
ページ(範囲)137-158
ページ数22
ジャーナルJournal of Computational and Applied Mathematics
91
発行部数1
DOI
出版物ステータス出版済み - 4 24 1998

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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