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NII Technical Report (NII-2005-010E):Variable Transformations for Nearly Singular Integrals in the Boundary Element Method
https://doi.org/10.20736/0000000406
https://doi.org/10.20736/0000000406d3056b5e-63e8-42d9-849a-90068401f96f
名前 / ファイル | ライセンス | アクション |
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NII Technical Report (NII-2005-010E):Variable Transformations for Nearly Singular Integrals in the Boundary Element Method (235.3 kB)
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Item type | レポート / Report(1) | |||||||||
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公開日 | 2005-06-09 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | NII Technical Report (NII-2005-010E):Variable Transformations for Nearly Singular Integrals in the Boundary Element Method | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
キーワード | ||||||||||
言語 | ja | |||||||||
主題Scheme | Other | |||||||||
主題 | テクニカルレポート | |||||||||
キーワード | ||||||||||
言語 | en | |||||||||
主題Scheme | Other | |||||||||
主題 | Technical Report | |||||||||
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 | 10.20736/0000000406 | |||||||||
ID登録タイプ | JaLC | |||||||||
著者 |
速水, 謙
× 速水, 謙
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抄録 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | We review a variable transformation method proposed by the author and co-workers for evaluating nearly singular integrals over curved surfaces appearing in the boundary element method. The method introduces polar coordinates centred at the source projection, and then employs radial and angular variable transformations to weaken the near singularity before applying standard quadrature. Several radial variable transformations, which are particularly important in the method, will be presented. Then, error analysis using complex function theory yields insight regarding the optimal radial variable transformation. Finally, we will discuss the efficient use of the double exponential transformation in the radial variable transformation. | |||||||||
言語 | en | |||||||||
書誌情報 |
ja : NIIテクニカル・レポート en : NII Technical Report p. 1-21, 発行日 2005-06-09 |
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出版者 | ||||||||||
言語 | ja | |||||||||
出版者 | 国立情報学研究所 | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1346-5597 |