Abstract
This paper presents a new time-domain boundary element method based on the Operational Quadrature Method (OQM) in 2-D viscoelastic wave propagation. The conventional time-domain BEM approach cannot be used in general, since it is difficult to obtain the closed time-domain fundamental solutions in viscoelastic wave propagation. To overcome the difficulty, in this paper, the Operational Quadrature Method (OQM) developed by Lubich is applied to 2-D viscoelastodynamics. In the proposed method, the convolution integral is numerically approximated by quadrature formulas, whose weights are computed by using the Laplace transform of the fundamental solution in 2-D viscoelastodynamics. Moreover, the Fast Multipole Method (FMM) is adapted to improve the computational efficiency for large scale problems. As numerical examples, viscoelastic wave scattering by many cavities is shown to validate the proposedmethod.
