Numerical verifications of solutions for nonlinear elliptic equations

Yoshitaka Watanabe, Mitsuhiro T. Nakao

研究成果: Article査読

26 被引用数 (Scopus)

抄録

A numerical technique which enables us to verify the existence of weak solutions for nonlinear elliptic boundary value problems is proposed. It is based on the infinite dimensional fixed point theorems using the Newton-like operator and the error estimates for finite element approximations. We also present an effective verification procedure which automatically generates the set including the exact solution in a computer. Some numerical examples are illustrated.

本文言語English
ページ(範囲)165-178
ページ数14
ジャーナルJapan Journal of Industrial and Applied Mathematics
10
1
DOI
出版ステータスPublished - 1993 2
外部発表はい

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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