Some remarks on the rigorous estimation of inverse linear elliptic operators

Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao

研究成果: Conference contribution

3 被引用数 (Scopus)

抄録

This paper presents a new numerical method to obtain the rigorous upper bounds of inverse linear elliptic operators. The invertibility of a linearized operator and its norm estimates give important informations when analyzing the nonlinear elliptic partial differential equations (PDEs). The computational costs depend on the concerned elliptic problems as well as the approximation properties of used finite element subspaces, e.g., mesh size or so. We show the proposed new estimate is effective for an intermediate mesh size.

本文言語English
ホスト出版物のタイトルScientific Computing, Computer Arithmetic, and Validated Numerics - 16th International Symposium, SCAN 2014, Revised Selected Papers
出版社Springer Verlag
ページ225-235
ページ数11
9553
ISBN(印刷版)9783319317687
DOI
出版ステータスPublished - 2016
外部発表はい
イベント16th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN 2014 - Wurzburg, Germany
継続期間: 2014 9 212014 9 26

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9553
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other16th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN 2014
国/地域Germany
CityWurzburg
Period14/9/2114/9/26

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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