Supplementary material from "Finite-element modelling of elastic wave propagation and scattering within heterogeneous media"

Whereas classical analytical studies are based on lower-order scattering assumptions, numerical methods conversely present no such limitations by inherently incorporating multiple scattering. Until now, studies have typically been limited to two- or one dimension, however, owing to computational constraints.

This article seizes recent advances to realize a finite-element formulation that solves the three-dimensional elastodynamic scattering problem. The general methodology is described and further developed to enable the study of fundamental scattering behaviour in terms of the scattering induced attenuation and dispersion. In particular, the example of elastic waves propagating within polycrystalline materials is adopted, using an established Voronoi approach to randomly generate representative models.