An Adaptive Marching-on-in-Order Method With FFT-Based Blocking Scheme

An Adaptive Marching-on-in-Order Method With FFT-Based Blocking Scheme
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一种基于 FFT 的分块方案的自适应按顺序前进方法

DOI:
10.1109/lawp.2010.2050051
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发表时间:
2010-05
影响因子:
4.2
通讯作者:
Wen-Yan Yin
Wen-Yan Yin
中科院分区:
计算机科学2区
文献类型:
--
作者:
Ming-Da Zhu;Xi-Lang Zhou;Wen-Yan Yin

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针对导电物体的时域电场积分方程(TD-EFIE)问题,提出了一种基于fft分块的自适应有序行进(MOO)方法。与大多数使用先验固定阶的加权LP来处理时间变化的MOO方法不同,我们通过计算加权LP展开的相对误差来选择合适的多项式阶。从而保证了MOO方案的准确性。给出了最小散射系数选择的一般原则,这对有效预测目标散射信息至关重要。采用基于快速傅里叶变换(FFT)的分块方案,将计算复杂度降低到0 (NS2 No log2 (No))。数值结果表明了该方法的准确性和有效性。
An adaptive marching-on-in-order (MOO) method with FFT-based blocking scheme is proposed to solve the time-domain electric field integral equation (TD-EFIE) for conductive objects, with the temporal basis of Laguerre polynomials (LP) employed. In contrast to most MOO approaches that utilize a priori fixed order of weighted LP for the temporal variation, we choose suitable polynomial order by computing the relative error of the weighted LP expansions. Thus, the accuracy of the MOO scheme is guaranteed. A general principle for choosing the optimal scaling factor of LP is presented, which is crucial for efficiently predicting scattering information of objects. The fast Fourier transform (FFT)-based blocking scheme is also implemented to reduce the computational complexity to O(NS2 No log2 (No))Numerical results that demonstrate the accuracy and efficiency of this methodology are presented.
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