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Finite element analysis of a nondifferentiable nonlinear problem related to MHD equilibria
https://doi.org/10.15083/00039453
https://doi.org/10.15083/00039453ea11bd40-7631-454c-aa60-df729ddd5db8
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jfs350103.pdf (4.0 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-31 | |||||
| タイトル | ||||||
| タイトル | Finite element analysis of a nondifferentiable nonlinear problem related to MHD equilibria | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Newton-like methods | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | finite element method | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| ID登録 | ||||||
| ID登録 | 10.15083/00039453 | |||||
| ID登録タイプ | JaLC | |||||
| 著者 |
Kikuchi, Fumio
× Kikuchi, Fumio |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | (Summary) We consider finite element approximation of a nondifferentiable nonlinear eigenvalue problem related to MHD (magnetohydrodynamics) equilibria. In an abstract setting, we first present two Newton-like iteration schemes as generalizations of the usual Newton method and the modified Newton method, and consider their convergence properties with an implicit function theorem derived. Then we apply the results to a nonlinear eigenvalue problem described by a semilinear elliptic problem with a nondifferentiable nonlinear term. Finally, we introduce a simple finite element model to this problem, to which we show that the iteration schemes are applicable. Order estimates of the errors of the finite element solutions are also given under some assumptions. A few numerical results are illustrated to see the validity of the analysis. | |||||
| 書誌情報 |
Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics = 東京大学理学部紀要. 第1類A, 数学 巻 35, 号 1, p. 77-101, 発行日 1988 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00408980 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00697967 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 410 | |||||
| Mathematical Reviews Number | ||||||
| MR0931443 (89a:65189) | ||||||
| 出版者 | ||||||
| 出版者 | Faculty of Science, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1987-02-28 | ||||||
