scholarly journals Convolution Quadrature Time-Domain Boundary Element Method for Two-Dimensional Elastic Wave Propagation in General Anisotropy

2012 ◽  
Vol 68 (2) ◽  
pp. I_269-I_278
Author(s):  
Akira FURUKAWA ◽  
Yukumo TANAKA ◽  
Takahiro SAITOH ◽  
Sohichi HIROSE
Keyword(s):  
Wave Propagation ◽  
Boundary Element Method ◽  
Elastic Wave ◽  
Boundary Element ◽  
Time Domain ◽  
Domain Boundary ◽  
Elastic Wave Propagation ◽  
Two Dimensional ◽  
General Anisotropy ◽  
Convolution Quadrature

Convolution Quadrature Time-Domain Boundary Element Method for Viscoelastic Wave Scattering by Many Cavities in a 3D Infinite Space

2021 ◽  
pp. 2141020
Author(s):  
Takahiro Saitoh ◽  
Haruhiko Takeda
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Incident Wave ◽  
Time Domain ◽  
Wave Scattering ◽  
Domain Boundary ◽  
Viscoelastic Solid ◽  
Convolution Quadrature ◽  
Infinite Space ◽  
Viscoelastic Wave

This paper presents a time-domain boundary element method (BEM) for viscoelastic wave scattering by many cavities in 3D infinite space. The convolution quadrature method (CQM) is applied to the convolutions of the time-domain boundary integral equation in order to improve the numerical stability of BEM. Scattering of an incident wave by cavities in a viscoelastic solid is solved by the developed time-domain BEM. The incident wave propagating in a viscoelastic solid in time-domain is obtained using the inverse Fourier transform of that in frequency-domain. In addition, the hybrid parallelization using OpenMP and MPI is used to save the computational time and memory.

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