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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|
|Author's alias:||福原, 美桜|
|Journal title:||Engineering Analysis with Boundary Elements|
|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/.|
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|Appears in Collections:||Journal Articles|
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