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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

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/2237/00032730
33ae9b95-1983-464c-bf2c-f451bf97418d
名前 / ファイル ライセンス アクション
main.pdf main (1.4 MB)
Item type 学術雑誌論文 / Journal Article(1)
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.

WEKO 101695

en Rabago, Julius Fergy T.

Search repository
Azegami, Hideyuki

× Azegami, Hideyuki

WEKO 101696

en Azegami, Hideyuki

Search repository
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 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
内容記述タイプ Abstract
内容記述
内容記述 ファイル公開:2021/09/01
言語 ja
内容記述タイプ Other
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/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
著者版フラグ
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