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Variational Multiscale Finite Element Method Based on Bubble Element for Steady Advection-Diffusion Equations
https://doi.org/10.15099/00019550
https://doi.org/10.15099/0001955021a2766f-8f59-4584-b9e4-d2405a477a60
名前 / ファイル | ライセンス | アクション |
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01-01_13-2_page297to304.pdf (1.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2019-05-22 | |||||
タイトル | ||||||
タイトル | Variational Multiscale Finite Element Method Based on Bubble Element for Steady Advection-Diffusion Equations | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Variational multiscale (VMS) method | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | bubble element | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | multiscale function | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | advection-diffusion | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | equation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | stabilized finite element method | |||||
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 | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15099/00019550 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Okumura, Hiroshi
× Okumura, Hiroshi |
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著者別名 | ||||||
姓名 | 奥村, 弘 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper presents a variational multiscale (VMS) finite element method based on the bubble element, which enables the establishing of a multiscale function to stabilize the advective-diffusive limit and the discontinuity in steady advection-diffusion problems. Furthermore, it is proved that the present VMS method is equivalent to stabilized finite element methods with the space of piecewise linear functions on elements. It is also shown that the present VMS method solves unresolvable scales under the mesh size by the Laplacian of bubble nodal values. This yields some stabilization for linear nodal values. In some numerical experiments, we show L² and H ¹ error norms and the efficiencies of the present VMS method. | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 富山大学人間発達科学部紀要, 13巻2号, 2019.03.20, Page 297-304 | |||||
書誌情報 |
富山大学人間発達科学部紀要 = Memoirs of the Faculty of Human Development University of Toyama 巻 13, 号 2, p. 297-304, 発行日 2019-03-20 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1881316X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12181167 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | 富山大学人間発達科学部 | |||||
資源タイプ(DSpace) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article |