Some considerations of the invertibility verifications for linear elliptic operators

Mitsuhiro T. Nakao, Yoshitaka Watanabe, Takehiko Kinoshita, Takuma Kimura, Nobito Yamamoto

研究成果: Article

5 引用 (Scopus)

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This paper presents three computer-assisted procedures for verifying the invertibility of second-order linear elliptic operators and for computing a bound on the norm of its inverse. One of these procedures is an improvement of a theorem by Nakao et al. (Computing 75:1–14, 2005) that uses projection and constructive a priori error estimates and was proposed by two of the authors of this paper. Results verifying these procedures are presented for several numerical examples.

元の言語English
ページ(範囲)19-31
ページ数13
ジャーナルJapan Journal of Industrial and Applied Mathematics
32
発行部数1
DOI
出版物ステータスPublished - 2015
外部発表Yes

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ASJC Scopus subject areas

  • Applied Mathematics
  • Engineering(all)

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