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An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data
http://hdl.handle.net/2237/00031029
http://hdl.handle.net/2237/000310297e9e5996-98fd-4157-ae2b-3086c323cbb0
名前 / ファイル | ライセンス | アクション |
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main (2.1 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2019-12-20 | |||||
タイトル | ||||||
タイトル | An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data | |||||
言語 | en | |||||
著者 |
Rabago, Julius Fergy T.
× Rabago, Julius Fergy T.× Azegami, Hideyuki |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Bernoulli problem | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Domain perturbation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Free boundary | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Lagrangian method | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Minimax formulation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Shape derivative | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Shape optimization | |||||
抄録 | ||||||
内容記述 | We propose a new shape optimization formulation of the Bernoulli problem by tracking the Neumann data. The associated state problem is an equivalent formulation of the Bernoulli problem with a Robin condition. We devise an iterative procedure based on a Lagrangian-like approach to numerically solve the minimization problem. The proposed scheme involves the knowledge of the shape gradient which is established through the minimax formulation. We illustrate the feasibility of the proposed method and highlight its advantage over the classical setting of tracking the Neumann data through several numerical examples. | |||||
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 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s10665-019-10005-x | |||||
ISSN(print) | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0022-0833 | |||||
書誌情報 |
en : Journal of Engineering Mathematics 巻 117, 号 1, p. 1-29, 発行日 2019-08-15 |
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著者版フラグ | ||||||
値 | author |