Abstract
Accurate numerical integration technique for a discontinuous integrand by the Delaunay decomposition has been proposed to calculate the interactive terms in the 2-D finite element mesh superposition method (FEMS). In this paper, the preprocessing for appropriate triangulation or tetrahedralization as an alternative to swapping algorithm is proposed for 2-D and 3-D FEMS. All vertices are categorized into the groups which are defined for every global element. All decomposed integral domains have no discontinuous integrand because the groups are composed along the boundaries of global elements. In the first two 2-D examples, we indicate that the proposed technique can apply the superimposed models which have not been able to decompose the integral domains adequately. In the third example, we apply the proposed technique to 3-D practical superimposed model.
