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An Iterative Finite Element Scheme for Bifurcation Analysis of Semi-Linear Elliptic Equations
https://jaxa.repo.nii.ac.jp/records/34520
https://jaxa.repo.nii.ac.jp/records/345209f47bde6-ea31-4362-9469-701efa3e2a93
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SA2401247.pdf (1.2 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
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| 公開日 | 2015-03-26 | |||||||
| タイトル | ||||||||
| タイトル | An Iterative Finite Element Scheme for Bifurcation Analysis of Semi-Linear Elliptic Equations | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| 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 | |||||||
| 著者 |
KIKUCHI, Fumio
× KIKUCHI, Fumio
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| 出版者 | ||||||||
| 出版者 | 東京大学宇宙航空研究所 | |||||||
| 出版者（英） | ||||||||
| 出版者 | Institute of Space and Aeronautical Science,University of Tokyo | |||||||
| 書誌情報 |
en : ISAS report/Institute of Space and Aeronautical Science,University of Tokyo 巻 41, 号 6, p. 203-231, 発行日 1976-06 |
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| 抄録（英） | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | A finite element scheme is proposed for bifurcation analysis of semi-linear elliptic equations of two-dimensional spaces. An iteration process is employed to treat nonlinearity of the problems and to avoid numerical instability in the vicinity of bifurcation points. Convergence analysis of the iterative process and error analysis of the finite element solutions are performed by the use of the principle of contraction mappings and some established results of the finite element method. The proposed approach is also available for the analysis of initial imperfection. Numerical solutions are illustrated to see the effectiveness of the proposed method. | |||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0372-1418 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00675986 | |||||||
| 資料番号 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | 資料番号: SA2401247000 | |||||||
