为进一步提高对电大尺寸目标散射求解的能力，详细研究了多层快速多极子方法。
To further improve the ability for solving large scale problems, multilevel fast multipole algorithm (MLFMA) has been investigated in detail in this paper.
并且介绍了积分方程方法的求解方法—矩量法及其快速求解技术—多层快速多极子方法。
Numerical methods for integral equation-moment of method (mom) and the fast solving technique-MLFMA are introduced as well.
均衡混合场积分方程与多层快速多极子方法(MLFMA)结合使用，可以方便地求解含腔导体目标的电磁散射。
Combination of ECFIE with multilevel fast multipole algorithm (MLFMA) can easily solve electromagnetic scattering from conductive target with open cavity.
本文基于多层快速多极子方法，采用了渐进近似的原理，开发出了几种高效快速方法来分析复杂目标的三维矢量散射。
Based on MLFMA, this paper USES several approximate methods, and implement some highly efficient and fast methods to analyse em scattering of complex 3d targets.
本文采用基于高阶矩量法的快速多极子方法(FMM)及多层快速多极子方法(MLFMA)计算复杂目标的电磁散射。
The present paper applies fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) based on the higher order moment of method (mom) to solve scattering from complex target.
该方法在保证合理计算精度的同时大大降低了迭代过程中矩阵矢量相乘的计算复杂度，提高了多层快速多极子方法计算效率。
It reduces greatly the computational complexity of matrix-vector multiplication in conjugate gradient iteration improves the efficiency of MLFMA while the reasonable accuracy is maintained.
最后，在上述研究基础上，针对高效求解复杂目标电磁散射的问题研究了复杂度分别为和的快速多极子方法以及多层快速多极子方法。
Following, based on the above research foundation and aimed at resolving the scattering by the complex target with high efficient solution, extensive study of the FMM and MLFMA has been carried out.
最后，在上述研究基础上，针对高效求解复杂目标电磁散射的问题研究了复杂度分别为和的快速多极子方法以及多层快速多极子方法。
Following, based on the above research foundation and aimed at resolving the scattering by the complex target with high efficient solution, extensive study of the FMM and MLFMA has been carried out.
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