A volume integral equation technique for multiple scattering problems in elastodynamics

Abstract

A volume integral equation method is introduced as a new numerical scheme for the solution of certain elastodynamic problems in unbounded solids containing multiple inclusions. The effectiveness of the method is compared with the boundary integral equation method for different problem geometries. For the single inclusion problem, both methods are found to work equally well. For multiple inclusions, the volume integral equation method is shown to be much more convenient for numerical formulation and to give very accurate results.