Robust and efficient non-singular boundary element method for scattering and vibration with elastic waves

Abstract

The propagation and scattering phenomena of linear elastic waves are often very complex. A robust and efficient numerical tool is required to study such dynamic linear wave phenomena. In this work, a fully three dimensional desingularized boundary element method is presented. Special chosen singular integrals are subtracted from the original integrals, thereby eliminating their (hyper) singular behavior. Validation of the numerical results is done with known analytical results. Then several examples on scattering and manipulation of linear elastic waves are shown for a phased array of vibrating pillars and for waves scattering on a rigid bowl.