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: Contribution to journalArticle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
    1
    DOI
    出版ステータス出版済み - 4 24 1998

    All Science Journal Classification (ASJC) codes

    • 計算数学
    • 応用数学

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