Mathematical Foundation of the Fast Multipole BEM for 2D Potential Problems
The fast multipole boundary element method (FM-BEM) has been successfully applied to 2D and 3D large scale elastostatic problems and efficiently reduce the computing operations and memory requirements. In this paper, the FM-BEM based on Taylor series expansions is applied to 2D Potential Problems, the FM-BEM for 2D Potential Problems is presented and relative mathematical foundation is developed.
H. Wang, B.J. Zhang, X.Z. Liu, D.Z. Luo, S.B. Zhong
W. W. Wang and Y. M. Chen, "Mathematical Foundation of the Fast Multipole BEM for 2D Potential Problems", Advanced Materials Research, Vols. 143-144, pp. 1190-1194, 2011