next up previous
Next: Introduction Up: Application of a diagonal Previous: Application of a diagonal


This paper presents a 4 moment formulation of the diagonal form FMM in three dimensional elastodynamics in the frequency domain. This formulation enables a fast construction of the coefficient matrix of BIEM (boundary integral equation method) with $ O(N\log N)$ operations when the domain size is much larger than the wavelength, where $ N$ is the number of unknowns. The proposed formulation is utilised and concluded to be effective in an analysis of the scattering of elastic waves by cracks.