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Crack problems for three-dimensional elastostatics with
Galerkin's method

In this section we discuss an application of the Fast Multipole Galerkin
Boundary Integral Equation Method (FM-GBIEM) to crack problems
for three-dimensional elastostatics. Applications of FMM to GBIEM are
found in Miyakoshi et al.[60] for two-dimensional Laplace's
equation and Coifman et al.[12] and Geng et al.[29]
for three-dimensional electromagnetic scattering. In application of FMM
to GBIEM we have modified the fast multipole algorithm (details of the
modification are given in 3.4.3). This modification is
significant to implement FM-GBIEM. In order to discretise the
variational boundary integral equation we use Galerkin's method and
piecewise linear shape functions.
The material in this section is from Yoshida et al.[87].

*Ken-ichi Yoshida*

*2001-07-28*