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  1. A500 情報学部/情報学研究科・情報文化学部・情報科学研究科
  2. A500a 雑誌掲載論文
  3. 学術雑誌

Acceleration of shape optimization analysis using model order reduction by Karhunen-Loève expansion

http://hdl.handle.net/2237/0002002208
7b72f291-8732-4c82-a4cc-bf2a2c89ca86
名前 / ファイル ライセンス アクション
main.pdf main.pdf (999 KB)
 Download is available from 2022/12/31.
Item type itemtype_ver1(1)
公開日 2022-03-11
タイトル
タイトル Acceleration of shape optimization analysis using model order reduction by Karhunen-Loève expansion
言語 en
著者 Tango, Shuichi

× Tango, Shuichi

en Tango, Shuichi

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Azegami, Hideyuki

× Azegami, Hideyuki

en Azegami, Hideyuki

Search repository
アクセス権
アクセス権 embargoed access
アクセス権URI http://purl.org/coar/access_right/c_f1cf
権利
言語 en
権利情報 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s13160-021-00489-5
内容記述
内容記述 This paper presents a method to reduce the computational time required to solve shape optimization problems. A volume minimization problem under the mean compliance constraint is chosen as an example of the shape optimization problem. To solve this problem, an iterative algorithm based on the H^1 gradient method is considered as a conventional approach. In this study, we attempt to use a method of model order reduction for solving the linear elasticity problem based on the idea by Karhunen-Loève expansion (KLE). We consider the displacements obtained by the conventional method to be sampling data of a random variable; the orthonormal bases of KLE are defined as eigenfunctions of the eigenvalue problem obtained as the optimality condition of the variance maximization problem for the random variable. The feasibility of the proposed method is illustrated by testing the numerical scheme to a linear elastic body of the connecting rod type.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Springer
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
関連情報
関連タイプ isVersionOf
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.1007/s13160-021-00489-5
収録物識別子
収録物識別子タイプ PISSN
収録物識別子 0916-7005
書誌情報 en : Japan Journal of Industrial and Applied Mathematics

巻 39, 号 1, p. 385-401, 発行日 2022-01
ファイル公開日
日付 2023-01-01
日付タイプ Available
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