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Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements
https://uec.repo.nii.ac.jp/records/10277
https://uec.repo.nii.ac.jp/records/102776cf79154-fef0-4add-b3fc-de17e1536865
| 名前 / ファイル | ライセンス | アクション |
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IntJNumerMethodsEng_123_17_3974-4000_2022_postprint.pdf (1.1 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||||||
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| 公開日 | 2023-08-10 | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements | |||||||||||||
| 言語 | en | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題 | parallel finite element method | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題 | domain decomposition method | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題 | inactive element method | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題 | damage analysis | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題 | topology optimization | |||||||||||||
| キーワード | ||||||||||||||
| 言語 | en | |||||||||||||
| 主題 | additive manufacturing analysis | |||||||||||||
| 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 | |||||||||||||
| 著者 |
Yusa, Yasunori
× Yusa, Yasunori
× Kobayashi, Hiroaki
× Murakami, Yuma
× Okada, Hiroshi
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| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | The present study developed a numerical method to implement domain decomposition (DD) solvers with the diagonal-scaling preconditioner, the balancing domain decomposition (BDD) preconditioner and the BDD with diagonal scaling (BDD-DIAG) preconditioner, for inactive elements. The inactive element, which is a finite element having zero stiffness, is used in several fields such as multi-pass welding analysis, additive manufacturing analysis, damage analysis, and topology optimization. For this sort of analysis, we adopted the one-time decomposition approach, in which the DD process is performed once at the beginning of the analysis. Based on this approach, we formulated the matrix–vector multiplication, the preconditioning and the vector operations in the algorithm of the conjugate gradient method, along with the inactive elements and floating degrees of freedom caused by the inactive elements. Consideration of the inactive elements is enabled by the slight modifications of matrices and vectors in the algorithm.Numerical examples confirmed the scalability of the BDD and BDD-DIAG preconditioners with the present implementation method. Moreover, the capability of the present method for damage analysis, topology computation, and thermal elastic–plastic analysis of metal additive manufacturing problems was demonstrated. | |||||||||||||
| 書誌情報 |
en : International Journal for Numerical Methods in Engineering 巻 123, 号 17, p. 3974-4000, 発行日 2022-08-10 |
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| 出版者 | ||||||||||||||
| 出版者 | Wiley | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||
| 収録物識別子 | 10970207 | |||||||||||||
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| 関連タイプ | isVersionOf | |||||||||||||
| 識別子タイプ | DOI | |||||||||||||
| 関連識別子 | doi/10.1002/nme.6995 | |||||||||||||
| 権利 | ||||||||||||||
| 権利情報 | (c)2022 John Wiley & Sons Ltd. | |||||||||||||
| 権利 | ||||||||||||||
| 権利情報 | This is the peer reviewed version of the following article: [https://onlinelibrary.wiley.com/], which has been published in final form at [https://doi.org/10.1002/nme.6995]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited. | |||||||||||||
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| 識別子タイプ | DOI | |||||||||||||
| 関連識別子 | https://doi.org/10.1002/nme.6995 | |||||||||||||
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| 出版タイプ | AM | |||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||||
