** Next:** List of Figures
** Up:** Applications of Fast Multipole
** Previous:** Applications of Fast Multipole

- Contents
- List of Figures
- Introduction
- Overview of Fast Multipole Method (FMM)
- Applications of FMM to three-dimensional crack problems
- Applications of the new FMM to three-dimensional problems
- Final remarks
- Series expansion of
- Relations between solid harmonics
*R*_{n,m} and *S*_{n,m}
- Recurrence formulae for
*R*_{n,m} and *S*_{n,m}
- Derivatives of
*R*_{n,m}
and *S*_{n,m}
- M2M, M2L, L2L in three-dimensional Laplace's equation
- Series expansion of |
*x*-*y*|
- Series expansion of the fundamental solution of
three-dimensional elastostatics
- M2M, M2L, L2L in three-dimensional elastostatics
- M2M, M2L, L2L in three-dimensional Helmholtz's equation
- M2X, X2X, X2L in three-dimensional Laplace's equation
- M2X, X2X, X2L in three-dimensional elastostatics
- Regularisation of integral equations
- Bibliography

*Ken-ichi Yoshida*

*2001-07-28*