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

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抜粋

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.

元の言語英語
ページ(範囲)629-636
ページ数8
ジャーナルJapan Journal of Industrial and Applied Mathematics
33
発行部数3
DOI
出版物ステータス出版済み - 12 1 2016

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All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

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