Boundary-element analysis of the dynamic state of piecewise homogeneous elastic bodies using convolution quadratures

An approach to the analysis of 3-D dynamic problems of elasticity for piecewise homogeneous bodies using a BEM explicitly accounting for the time variable is presented. The boundary-element scheme of constructing a discrete analogue is used in combination with the convolution quadrature method. A novel scheme of the convolution quadrature method is constructed. The results of the BEM analysis are presented. The developed BEM-scheme is shown to be highly accurate.