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Final remarks

In this thesis the author has investigated applications of FMM to BIEM for crack problems in three dimensions. The results obtained in this thesis are sufficient to make the author believe that the first step is steadily taken toward practical applications.

The results obtained in this thesis are summarised as follows:

As the future work the author has plans to

Nowadays, FEM and FDM seem to have established the representative positions as numerical solvers for PDEs. On the other hand, BIEM has been applied only to small problems so far because of the full matrix property. However, in this thesis FMM gives BIEM opportunities to become a solver for large-scale problems. Indeed, techniques proposed in elastostatics and elastodynamics have the potential in ordinary large-scale boundary value problems as well as fracture mechanics, and could help to raise the status of BIEM. The author hopes that BIEM becomes a practical solver and would be happy if this thesis could be of some help to someone or could contribute to BIEM community.


next up previous contents
Next: Series expansion of Up: Applications of Fast Multipole Previous: Concluding remarks
Ken-ichi Yoshida
2001-07-28