An improved method for verifying the existence and bounds of the inverse of second-order linear elliptic operators mapping to dual space

Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao

    研究成果: Contribution to journalArticle査読

    3 被引用数 (Scopus)

    抄録

    This paper presents an improved method for determining the invertibility of second-order linear elliptic operators with a bound on the norm of their inverses by computers in a mathematically rigorous sense. This approach is an improvement on a previous method (Nakao et al. in Jpn J Ind Appl Math 32:19–32, 2015) which used a projection and constructive a priori error estimates. Several examples confirming the effectiveness of the proposed procedure are reported.

    本文言語英語
    ページ(範囲)407-420
    ページ数14
    ジャーナルJapan Journal of Industrial and Applied Mathematics
    36
    2
    DOI
    出版ステータス出版済み - 7 1 2019

    All Science Journal Classification (ASJC) codes

    • Engineering(all)
    • Applied Mathematics

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