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j.enganabound.2019.08.015.pdf | 2.25 MB | Adobe PDF | View/Open |
Title: | Stability of boundary element methods for the two dimensional wave equation in time domain revisited |
Authors: | Fukuhara, Mio Misawa, Ryota ![]() ![]() Niino, Kazuki ![]() ![]() Nishimura, Naoshi |
Author's alias: | 福原, 美桜 三澤, 亮太 新納, 和樹 西村, 直志 |
Keywords: | Stability Time domain BEM Transmission problems Eigenvalue problems |
Issue Date: | Nov-2019 |
Publisher: | Elsevier Ltd |
Journal title: | Engineering Analysis with Boundary Elements |
Volume: | 108 |
Start page: | 321 |
End page: | 338 |
Abstract: | This study considers the stability of time domain BEMs for the wave equation in 2D. We show that the question of stability of time domain BEMs is reduced to a nonlinear eigenvalue problem related to frequency domain integral equations. We propose to solve this non-linear eigenvalue problem numerically with the Sakurai-Sugiura method. After validating this approach numerically in the exterior Dirichlet problem, we proceed to transmission problems in which we find that some time domain counterparts of “resonance-free” integral equations in frequency domain lead to instability. We finally show that the proposed stability analysis helps to reformulate these equations to obtain stable numerical schemes. |
Rights: | © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. The full-text file will be made open to the public on 1 November 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/244714 |
DOI(Published Version): | 10.1016/j.enganabound.2019.08.015 |
Appears in Collections: | Journal Articles |

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