Up: Application of a diagonal
Previous: Many penny-shaped cracks
We have successfully applied an FM-BIEM with diagonal forms to the
analysis of three dimensional scattering of elastic waves by cracks.
We have found that a 4 moment diagonal form FM-BIEM formulation for
elastodynamics in 3D is possible, and is faster than the
corresponding FM-BIEM formulation with the Wigner-3j symbols in
problems with moderate wave numbers.
As we have mentioned above, diagonal forms are known to have numerical
instabilities in low frequency problems. It would be necessary to
carry out more numerical experiments to investigate such numerical
instabilities quantitatively for further applications of the proposed
techniques in practical problems.