The Proceedings of The Computational Mechanics Conference
Online ISSN : 2424-2799
2018.31
Session ID : 138
Conference information

Host: The Japan Society of Mechanical Engineers

Name : [in Japanese]

Date : November 23, 2018 - November 25, 2018

On the stability of time domain BIEMs for the wave equation in 2D
*Mio FUKUHARA, Ryota MISAWA, Kazuki NIINO, Naoshi NISHIMURA
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Keywords: stability, time domain, BIEM, transmission problems, eigenvalue problems
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Abstract

This study considers the stability of time domain BIEMs for the wave equation in 2D. We show that the stability of time domain BIEMs is reduced to a nonlinear eigenvalue problem related to frequency domain integral equations. The sign of imaginary parts of eigenvalues determines the stability of time domain BIEs. We confirm this conclusion with some numerical experiments.

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© 2018 The Japan Society of Mechanical Engineers
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