Discrete Formulations of the BIE without Singularity for the Elastic FM-BEM

Combined with the fast multiple methods, the boundary element method become quite efficient to deal with large-scale engineering and scientific problems. In this paper, by applying fast multiple expansions, the boundary integral equation about the elastic problem is discrete. In boundary integral equality, because solutions contain singular term 1r , which influences the application of fast multiple expansion method, but by applying Laplace transformation, that can be reduced to exponential series. Then this method avoids the singularity of FMM, gets the new discrete equality and provides a new method for theory analysis of FMM.