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  1. NIIテクニカル・レポート

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/10.20736/0000000406
d3056b5e-63e8-42d9-849a-90068401f96f
名前 / ファイル ライセンス アクション
05-010E.pdf NII Technical Report (NII-2005-010E):Variable Transformations for Nearly Singular Integrals in the Boundary Element Method (235.3 kB)
Item type レポート / Report(1)
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

ja 速水, 謙

en Hayami, Ken

Search repository
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
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
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