Analytical regularization of hypersingular integral for Helmholtz equation in boundary element method

Tomioka, Satoshi; Nishiyama, Shusuke

Engineering Analysis with Boundary Elements, 2010, 34(4), 393-404

Permalink : https://hdl.handle.net/2115/42806

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アクセス権
open access
URI
https://hdl.handle.net/2115/42806
タイトル
Analytical regularization of hypersingular integral for Helmholtz equation in boundary element method
著者
著者名
Tomioka, Satoshi
著者名
Nishiyama, Shusuke
言語
英語
キーワード
Boundary element method (BEM)
Helmholtz equation
Hypersingularity
Analytical integral
Regularization
Gradient field
Error estimation
発行日
2010-04
出版者
Elsevier
収録物名
Engineering Analysis with Boundary Elements
巻(号)
34(4)
ページ
393-404
抄録
This paper presents a gradient field representation using an analytical regularization of a hypersingular boundary integral equation for a 2-dimensional time harmonic wave equation called the Helmholtz equation. The regularization is based on cancelation of the hyper-singularity by considering properties of hypersingular elements that are adjacent to a singular node. Advantages to this regularization include applicability to evaluate cornet nodes, no limitation for element size, and reduced computational cost compared to other methods. To demonstrate capability and accuracy, regularization is estimated for a problem about plane wave propagation. As a result, it is found that even at a corner node the most significant error in the proposed method is due to truncation error of non-singular elements in discretization, and error from hypersingular elements is negligibly small.
資源タイプ
学術雑誌論文
出版タイプ
Accepted Manuscript
PISSN
0955-7997
関連情報 (isVersionOf)
出版社版DOI
https://doi.org/10.1016/j.enganabound.2009.10.011