Application of the boundary integral equation (BIE) method to transient response analysis of inclusions in a half space
type: Item
instance of: scholarly article
title: Application of the boundary integral equation (BIE) method to transient response analysis of inclusions in a half space
zbMATH Open document ID: 0572.73029
DOI: 10.1016/0165-2125(86)90007-7
author: Y. Niwa
author: Sohichi Hirose
author: Michihiro Kitahara
published in: Wave Motion
publication date: 1986-01-01T00:00:00Z
review text: Transient scattering of elastic waves by inclusions in a half space is investigated by the boundary integral equation (BIE) method. The formulation of BIE presented here is based on the Fourier transform method, and involves the analysis of transformed problems and the reconstitution of transient solutions by Fourier inversion. After the BIE has been solved numerically in the transformed domain, the transient wave fields are obtained with the help of the fast Fourier transform (FFT) algorithm. After confirmation of the accuracy of the present method, some numerical examples are shown for various inclusions in a half space, such as a cavity, an elastic inclusion, and a fluid inclusion.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3913793
zbMATH Keywords: Transient scattering
zbMATH Keywords: elastic waves
zbMATH Keywords: inclusions
zbMATH Keywords: half space
zbMATH Keywords: boundary integral equation
zbMATH Keywords: Fourier transform method
zbMATH Keywords: transformed problems
zbMATH Keywords: transient solutions
zbMATH Keywords: Fourier inversion
zbMATH Keywords: transient wave fields
zbMATH Keywords: fast Fourier transform (FFT) algorithm
zbMATH Keywords: cavity
zbMATH Keywords: fluid inclusion
MaRDI profile type: Publication
full work available at URL: 0165-2125(86)90007-7
OpenAlex ID: W2012930429
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description: scientific article; zbMATH DE number 3913793