A new visco- and elastodynamic time domain boundary element formulation
A new approach for the evaluation of the convolution integrals, the so-called operational quadrature methods, is presented. In this formulation, the convolution integral is numerically approximated by a quadrature formula whose weights are determined by the Laplace transform of the fundamental solution and by a linear multistep method. Hence, the frequency domain fundamental solution can be used without the need of an inverse transformation. Therefore, the extension to viscoelastic problems succeeds using the elastic-viscoelastic correspondence principle.
scientific article; zbMATH DE number 1096354