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 journalArticlepeer-review

    8 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 - Apr 24 1998

    All Science Journal Classification (ASJC) codes

    • Computational Mathematics
    • Applied Mathematics

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