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An abstract analysis of parameter dependent problems and its applications to mixed finite element methods
https://doi.org/10.15083/00039512
https://doi.org/10.15083/000395127dfa3e89-f6b8-4742-b943-41b78938af04
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2007-05-15 | |||||
タイトル | ||||||
タイトル | An abstract analysis of parameter dependent problems and its applications to mixed finite element methods | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Mixed finite element method | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Parameter dependent problem | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Penalty approach | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Iteration scheme | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Locking | |||||
主題Scheme | Other | |||||
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 | 10.15083/00039512 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Kikuchi, Fumio
× Kikuchi, Fumio |
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著者所属 | ||||||
著者所属 | Department of Mathematics College of Arts and Sciences University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper is concerned with numerical analysis of a class of parameter dependent problems. Such problems arise, for example, from the analysis of nearly incompressible media and from the penalization of some constrained minimization problems. We first consider the solvability and the uniqueness of an abstract problem under certain hypotheses, and then analyze the dependence of the solutions on the parameter. We also propose an iteration scheme, by which we can obtain solutions for fairly wide range of parameter values. We introduce a mixed finite element approximation to the present problem, and discuss its approximation properties. In particular, we consider the locking phenomenon, which often arises from numerical approximation of the present type of problems. We also give some simple numerical results to see the dependence of numerical solutions on the parameter. In Appendices, we present some sufficient conditions for the hypotheses employed to assure the solvability of the present problem and its approximations. | |||||
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 32, 号 3, p. 499-538, 発行日 1985-12-25 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0040-8980 | |||||
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 | 410 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR0827872 (87e:65076) | ||||||
出版者 | ||||||
出版者 | Faculty of Science, The University of Tokyo |