Up: Application of New Fast
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- In this paper we have succeeded in an application of the new
FMM to the three-dimensional elastostatic crack
problems and showed that the new FMM is faster than the
original FMM in sample problems.
- We plan to use singular elements to consider the behaviour
near the crack tip and compute the stress field
with FMM using techniques proposed in Yoshida
- The proposed techniques can be extended to the Galerkin BIEM
which yields highly accurate numerical results for
crack problems. Also, the new FMM for
the three-dimensional Helmholtz equation proposed in Greengard et
al. can be extended to three-dimensional
elastodynamics in the frequency domain.