Abstract
This paper presents a new time-domain boundary element method (BEM) in 2-D viscoelastic wave propagation. The conventional time-domain BEM approach cannot be used in general, since it is difficult to obtain closed time-domain fundamental solutions in viscoelastic wave propagation. To overcome the difficulty, in this paper, the convolution quadrature method (CQM) developed by Lubich is applied to 2-D viscoelastic wave propagation. 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. In addition, the fast multipole method (FMM) is applied to improve computational efficiency.
