Some remarks on the rigorous estimation of inverse linear elliptic operators

Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao

研究成果: 著書/レポートタイプへの貢献会議での発言

3 引用 (Scopus)

抜粋

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.

元の言語英語
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
編集者Jürgen Wolff von Gudenberg, Warwick Tucker, Marco Nehmeier
出版者Springer Verlag
ページ225-235
ページ数11
ISBN(印刷物)9783319317687
DOI
出版物ステータス出版済み - 1 1 2016
イベント16th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN 2014 - Wurzburg, ドイツ
継続期間: 9 21 20149 26 2014

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(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他16th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN 2014
ドイツ
Wurzburg
期間9/21/149/26/14

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

Kinoshita, T., Watanabe, Y., & Nakao, M. T. (2016). Some remarks on the rigorous estimation of inverse linear elliptic operators. : J. W. von Gudenberg, W. Tucker, & M. Nehmeier (版), Scientific Computing, Computer Arithmetic, and Validated Numerics - 16th International Symposium, SCAN 2014, Revised Selected Papers (pp. 225-235). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 9553). Springer Verlag. https://doi.org/10.1007/978-3-319-31769-4_18