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.

本文提出了一种时域边界元法 (BEM)，用于在 3D 无限空间中通过多个腔进行粘弹性波散射。为了提高边界元法的数值稳定性，将卷积求积法（CQM）应用于时域边界积分方程的卷积。已开发的时域边界元法解决了粘弹性固体中空腔对入射波的散射问题。利用频域的傅里叶逆变换得到在时域中在粘弹性固体中传播的入射波。此外，使用 OpenMP 和 MPI 的混合并行化用于节省计算时间和内存。