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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

Error analysis of the H1 gradient method for shape-optimization problems of continua

http://hdl.handle.net/2237/21199
http://hdl.handle.net/2237/21199
90ef28a7-4e0a-42c7-9834-87f0f13bcccb
名前 / ファイル ライセンス アクション
5_29.pdf 5_29.pdf (138.7 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2015-02-16
タイトル
タイトル Error analysis of the H1 gradient method for shape-optimization problems of continua
言語 en
著者 Murai, Daisuke

× Murai, Daisuke

WEKO 55793

en Murai, Daisuke

Search repository
Azegami, Hideyuki

× Azegami, Hideyuki

WEKO 55794

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
キーワード
主題Scheme Other
主題 calculus of variations
キーワード
主題Scheme Other
主題 boundary value problem
キーワード
主題Scheme Other
主題 shape optimization
キーワード
主題Scheme Other
主題 H1 gradient method
キーワード
主題Scheme Other
主題 error analysis
抄録
内容記述 We present an error estimation for the H1 gradient method, which provides numerical solutions to the shape-optimization problem of the domain in which a boundary value problem is defined. The main result is that if second-order elements are used for the solutions of the main and adjoint boundary value problems to evaluate the shape derivative, and the first-order elements are used for the solution of domain variation in the boundary value problem of the H1 gradient method, then we obtain first-order convergence of the solution of the domain variation with respect to the size of the finite elements.
言語 en
内容記述タイプ Abstract
出版者
言語 ja
出版者 日本応用数理学会
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 VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.14495/jsiaml.5.29
ISSN
収録物識別子タイプ PISSN
収録物識別子 1883-0609
書誌情報 en : JSIAM Letters

巻 5, p. 29-32, 発行日 2013
著者版フラグ
値 publisher
URI
識別子 http://dx.doi.org/10.14495/jsiaml.5.29
識別子タイプ DOI
URI
識別子 http://hdl.handle.net/2237/21199
識別子タイプ HDL
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