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Analysis and Estimation of Error Constants for P0 and P1 Interpolations over Triangular Finite Elements
http://hdl.handle.net/2261/52393
http://hdl.handle.net/2261/52393656c3ec0-d940-4e38-8b6f-873af18154c1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms170102.pdf (578.8 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2012-10-22 | |||||
| タイトル | ||||||
| タイトル | Analysis and Estimation of Error Constants for P0 and P1 Interpolations over Triangular Finite Elements | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | FEM | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | error estimates | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | triangular finite elements | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | interpolation error constants | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Liu, Xuefeng
× Liu, Xuefeng× Kikuchi, Fumio |
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| 著者所属 | ||||||
| 著者所属 | Graduate School of Mathematical Sciences, University of Tokyo | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We give some fundamental results on the error constants for the piecewise constant interpolation function and the piecewise linear one over triangles. For the piecewise linear one, we mainly analyze the conforming case, but the present results also appear to be available for the non-conforming case. We obtain explicit relations for the upper bounds of the constants, and analyze dependence of such constants on the geometric parameters of triangles. In particular, we explicitly determine some special constants including the Babuška-Aziz constant, which plays an essential role in the interpolation error estimation of the linear triangular finite element. The obtained results are expected to be widely used for a priori and a posteriori error estimations in adaptive computation and numerical verification of numerical solutions based on the triangular finite elements. We also give some numerical results for the error constants and for a posteriori estimates of some eigenvalues related to the error constants. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 17, 号 1, p. 27-78, 発行日 2010-07-20 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 65N15(MSC2000) | ||||||
| Mathmatical Subject Classification | ||||||
| 65N30(MSC2000) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2008-07-22 | ||||||
