Space-time enriched finite elements for elastodynamic wave propagation

This article investigates a generalised finite-element method for time-dependent elastic wave propagation, based on plane-wave enrichments of the approximation space. The enrichment in both space and time allows good approximation of oscillatory solutions even on coarse mesh grids and for large time steps. The proposed method is based on a discontinuous Galerkin discretisation in time and conforming finite elements in space. Numerical experiments study the stability and accuracy and confirm significant reductions of the computational effort required to achieve engineering accuracy.