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Crack problems for three-dimensional Laplace's equation

In this section we discuss an application of FM-BIEM to crack problems for three-dimensional Laplace's equation. Applications of FM-BIEM to ordinary problems in three-dimensional Laplace's equation are found in Nishida and Hayami[62] and Kaneko et al.[49]. In this section we present the FMM formulation with the hypersingular integral equation and the regularised integral equation. In order to discretise BIEs we use collocation method and piecewise constant shape functions.

The material in this section is from Nishimura et al.[65].


Ken-ichi Yoshida