Abstract：The spherical surface triangular BEM is put forward to be used to calculate electric field intensity of spherical electrodes in 3-D electrostatic fields. In this method, the shape functions on the spherical surface triangular elements are defined. The element integral is strictly carried through on the spherical surface, and the solved function is linearly interpolated on spherical surface element along the great arc, and directions of outward normal line to element and spherical surface are strictly unanimous. The calculated results show that the precision of the spherical surface triangular BEM is obviously higher than plane triangular BEM on the condition of the same nodes; and on the condition of the same precision the spherical surface triangular BEM requires less nodes, consequently required memory and calculated time can be decreased greatly.
李亚莎, 王泽忠, 李咸善, 王斌. 球形电极三维静电场的球面三角形边界元算法[J]. 电工技术学报, 2009, 24(3): 8-13.
Li Yasha, Wang Zezhong, Li Xianshan, Wang Bin. Spherical Surface Triangular BEM of Spherical Electrode in 3-D Electrostatic Fields. Transactions of China Electrotechnical Society, 2009, 24(3): 8-13.
2009, Vol. 24 
