A divide-alternate-and-conquer approach for localization and shape identification of multiple scatterers in heterogeneous media using dynamic XFEM

A numerical method for localization and identification ofmultiple arbitrarily-shaped scatterers (cracks, voids, orinclusions) embedded within heterogeneous linearelastic media is described. An elastodynamic implementation of the extended finite elementmethod (XFEM), which is endowed with a spline-based parameterization of the scatterer boundaries, is employed to solve the forward (wave propagation) problem. This particular combination enables...