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Haijun Wu,Weikang Jiang,Wenbo Lu 대한기계학회 2011 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.25 No.7
The moment of diagonal form fast multipole boundary element for the Helmholtz equation in essence is the surface integration of exponential function on an element. In this paper, the moment for a linear triangular element can be integrated analytically by transforming the coordinates from global Cartesian coordinates to local area coordinates. The derived analytical moment evaluation is compared with the classical numerical calculation, and results show that analytical method makes the moment calculation efficient, stable, and accurate.