ABSTRACT
In the previous chapter we used the idea of a static fundamental solution method and demonstrated its application to a mixed boundary and domain technique, which we designated as the Internal Cell Method (ICM). The boundary integral technique was applied to the given problem but the inertia effects were excluded in the boundary element formulation. The domain was later divided into a grid of internal cells in order to compute the inertia term. The approach of using static fundamental solution, free of the frequency parameter, for the dynamic problem and the separate calculation of the inertia term for computing the mass or mass-type matrix laid the foundation for the boundary element algebraic eigenvalue formulation. However, the ICM required the discretization of the domain as well. This somewhat destroys the advantages of the boundary element method (BEM), which is supposed to be a boundary-only method, where the discretization is confined to the boundary alone.
