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Analytical regularization of hypersingular integral for Helmholtz equation in boundary element method
| Title: | Analytical regularization of hypersingular integral for Helmholtz equation in boundary element method |
| Authors: | Tomioka, Satoshi Browse this author | | Nishiyama, Shusuke Browse this author |
| Keywords: | Boundary element method (BEM) | | Helmholtz equation | | Hypersingularity | | Analytical integral | | Regularization | | Gradient field | | Error estimation |
| Issue Date: | Apr-2010 |
| Publisher: | Elsevier |
| Journal Title: | Engineering Analysis with Boundary Elements |
| Volume: | 34 |
| Issue: | 4 |
| Start Page: | 393 |
| End Page: | 404 |
| Publisher DOI: | 10.1016/j.enganabound.2009.10.011 |
| Abstract: | 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. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/42806 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 富岡 智
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