ABSTRACT
The domain integrals arise in the Boundary element formulation for the potential, elastostatic, and other problems. The interior cell method developed in §5.7 is not a powerful method to numerically compute the domain integrals. This method involves an interior discretization and evaluation of the double integral over each interior cell, which in turn increases the numerical data considerably and thus diminishes the computational advantage that the boundary element method has over other domain–type methods. In order to avoid the cumbersome situation created by the interior cell method author must have a method that enables a boundary–only solution instead of the domain integrals and is applicable to similar problems whenever they arise. There are three different methods available at present to transform the domain integrals into boundary integrals. These methods have historically evolved as follows: dual reciprocity method, Fourier series expansion method, and multiple reciprocity method.
