Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains

Takehiko Kinoshita, Yoshitaka Watanabe, Nobito Yamamoto, Mitsuhiro T. Nakao

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    This paper presents two expressions for H3 and H4 semi-norms for the solutions of the Poisson equation in two-dimensional polygonal domains. These equalities enable us to obtain higher order constructive a priori error estimates for finite element approximation of the Poisson equation with validated computing.

    Original languageEnglish
    Pages (from-to)629-636
    Number of pages8
    JournalJapan Journal of Industrial and Applied Mathematics
    Volume33
    Issue number3
    DOIs
    Publication statusPublished - Dec 1 2016

    All Science Journal Classification (ASJC) codes

    • Engineering(all)
    • Applied Mathematics

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