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

Yoshitaka Watanabe*, Mitsuhiro T. Nakao

*この研究の対応する著者

研究成果: Article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English
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
出版ステータスPublished - 2009 10月
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

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