Numerical verification method of solutions for elliptic equations and its application to the Rayleigh-Bénard problem

Yoshitaka Watanabe, Mitsuhiro T. Nakao

    研究成果: Contribution to journalArticle査読

    1 被引用数 (Scopus)

    抄録

    We first summarize the general concept of our verification method of solutions for elliptic equations. Next, as an application of our method, a survey and future works on the numerical verification method of solutions for heat convection problems known as Rayleigh-Bénard problem are described. We will give a method to verify the existence of bifurcating solutions of the two-dimensional problem and the bifurcation point itself. Finally, an extension to the three-dimensional case and future works will be described.

    本文言語英語
    ページ(範囲)443-463
    ページ数21
    ジャーナルJapan Journal of Industrial and Applied Mathematics
    26
    2-3
    DOI
    出版ステータス出版済み - 10 2009

    All Science Journal Classification (ASJC) codes

    • 工学(全般)
    • 応用数学

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