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Applications of Fast Multipole Method to
Boundary Integral Equation Method
Ken-ichi Yoshida1
Dept. of Global Environment Eng.
Kyoto Univ.,
Japan
March 2001
- 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 Rn,m and Sn,m
- Recurrence formulae for Rn,m and Sn,m
- Derivatives of
Rn,m
and Sn,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
- About this document ...
Ken-ichi Yoshida
2001-07-28
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