The Expansion of the Kernels for 3D Elastic Fast Multipole BEM
The Fast Muotipole Element Method (FM-BEM) has been applied to large scale engineering problems successfully. The Theorem of the fast multipole method (FMM) expansions of the kernels for 3D elastic FM-BEM are obtained and proved（Theorem 2）, furthermore, the mathematical foundation of the FM-BEM is completed.
Qingxue Huang, Cunlong Zhou, Zhengyi Jiang, Jianmei Wang, Hailian Gui, Lifeng Ma, Lidong Ma, Yugui Li and Chunjiang Zhao
W. W. Wang and Y. M. Chen, "The Expansion of the Kernels for 3D Elastic Fast Multipole BEM", Advanced Materials Research, Vol. 145, pp. 1-4, 2011