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A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
http://hdl.handle.net/2237/00032730
http://hdl.handle.net/2237/0003273033ae9b95-1983-464c-bf2c-f451bf97418d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
main (1.4 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2020-10-15 | |||||
| タイトル | ||||||
| タイトル | A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional | |||||
| 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 | |||||
| 権利 | ||||||
| 言語 | en | |||||
| 権利情報 | “This is a post-peer-review, pre-copyedit version of an article published in [Computational Optimization and Applications]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10589-020-00199-7”. | |||||
| 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 | Shape optimization | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Shape derivative | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The exterior Bernoulli problem is rephrased into a shape optimization problem using a new type of objective function called the Dirichlet-data-gap cost function which measures the L^2-distance between the Dirichlet data of two state functions. The first-order shape derivative of the cost function is explicitly determined via the chain rule approach. Using the same technique, the second-order shape derivative of the cost function at the solution of the free boundary problem is also computed. The gradient and Hessian informations are then used to formulate an efficient second-order gradient-based descent algorithm to numerically solve the minimization problem. The feasibility of the proposed method is illustrated through various numerical examples. | |||||
| 言語 | en | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | ファイル公開：2021/09/01 | |||||
| 言語 | ja | |||||
| 出版者 | ||||||
| 出版者 | Springer | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | 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/s10589-020-00199-7 | |||||
| ISSN（print） | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0926-6003 | |||||
| 書誌情報 |
en : Computational Optimization and Applications 巻 77, 号 1, p. 251-305, 発行日 2020-09 |
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| 著者版フラグ | ||||||
| 値 | author | |||||
