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ファイル | 記述 | サイズ | フォーマット | |
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s13160-020-00407-1.pdf | 330.59 kB | Adobe PDF | 見る/開く |
タイトル: | Truncation error estimates of approximate operators in a generalized particle method |
著者: | Imoto, Yusuke https://orcid.org/0000-0003-2574-4471 (unconfirmed) |
著者名の別形: | 井元, 佑介 |
キーワード: | Generalized particle method Truncation error estimate Approximate operator Smoothed particle hydrodynamics method Moving particle semi-implicit method |
発行日: | May-2020 |
出版者: | Springer Nature |
誌名: | Japan Journal of Industrial and Applied Mathematics |
巻: | 37 |
開始ページ: | 565 |
終了ページ: | 598 |
抄録: | To facilitate the numerical analysis of particle methods, we derive truncation error estimates for the approximate operators in a generalized particle method. Here, a generalized particle method is defined as a meshfree numerical method that typically includes other conventional particle methods, such as smoothed particle hydrodynamics or moving particle semi-implicit methods. A new regularity of discrete parameters is proposed via two new indicators based on the Voronoi decomposition of the domain along with two hypotheses of reference weight functions. Then, truncation error estimates are derived for an interpolant, approximate gradient operator, and approximate Laplace operator in the generalized particle method. The convergence rates for these estimates are determined based on the frequency with which they appear in the regularity and hypotheses. Finally, the estimates are computed numerically, and the results are shown to be in good agreement with the theoretical results. |
著作権等: | This is a post-peer-review, pre-copyedit version of an article published in 'Japan Journal of Industrial and Applied Mathematics'. The final authenticated version is available online at: https://doi.org/10.1007/s13160-020-00407-1. The full-text file will be made open to the public on 03 February 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
URI: | http://hdl.handle.net/2433/250814 |
DOI(出版社版): | 10.1007/s13160-020-00407-1 |
出現コレクション: | 学術雑誌掲載論文等 |
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