The fast multipole method (FMM) is capable of improving the efficiency of boundary element method (BEM). The required memory and operations are proportional to N, where N is the number of unknown. The precision of multipole-BEM is decreases in comparison with conventional BEM. An error estimation for the far-field influence coefficients of the Taylor series multipole-BEM was presented. The Taylor series properties of kernel function r were researched, and the error estimate formulas of fundamental solutions of 3-D elasticity problems were deduced. The factors of influence computational precision were illustrated. The numerical experiments show the validity of the error estimation formulas.%快速多极方法能够有效地提高边界元法的计算效率.求解的计算量和内存量与问题的自由度数N成正比.求解的精度与传统边界元法相比有所下降.分析了Taylor级数多极边界元法的计算精度和远场影响系数的误差.研究了核函数r的Taylor级数展开性质,推导了三维弹性问题基本解的误差估计公式.说明了影响多极边界元法计算精度的因素.数值算例显示了误差估计公式的正确性和有效性.
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