Multi-level fast multipole BEM for 3-D elastodynamics

Marc Bonnet (1) , Stéphanie Chaillat (1, 2) , Jean-François Semblat (2)

1 LMS - Laboratoire de mécanique des solides
2 LCPC - Laboratoire Central des Ponts et Chaussées

To reduce computational complexity and memory requirement for 3-D elastodynamics using the boundary element method (BEM), a multi-level fast multipole BEM (FM-BEM) based on the diagonal form for the expansion of the elastodynamic fundamental solution is proposed and demonstrated on numerical examples involving single-region and multi-region configurations where the scattering of seismic waves by a topographical irregularity or a sediment-filled basin is examined.

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Marc Bonnet, Stéphanie Chaillat, Jean-François Semblat. Multi-level fast multipole BEM for 3-D elastodynamics. Recent Advances in BEM, Springer, pp.15-28, 2009. ⟨hal-00326481v2⟩