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Error analysis of the H1 gradient method for shape-optimization problems of continua
http://hdl.handle.net/2237/21199
http://hdl.handle.net/2237/2119990ef28a7-4e0a-42c7-9834-87f0f13bcccb
名前 / ファイル | ライセンス | アクション |
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5_29.pdf (138.7 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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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× 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 | 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 |
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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 |