Abstract
Accurate numerical integration technique for a discontinuous integrand by the Delaunay decomposition has been proposed to calculate interactive terms in finite element mesh superposition method (FEMS). In this paper, the high accuracy numerical integration technique for high order local elements with curved surface is proposed. High order elements are divided into segments only with plane boundaries using some additional vertices to deal with hollow domains adequately. The previous proposed technique that is based on grouping of vertices to obtain a tetrahedralization is applied to all segments. In the first example, the performance of the proposed technique is estimated in 2-D analysis. In the second example, the proposed technique is applied to 3-D zooming analysis. In the 3rd example, smooth microstructures is add in VOXEL model using FEMS with the proposed technique.