A mixed-form fast multipole algorithm
A mixed-form fast multipole algorithm
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DOI：
10.1109/tap.2005.859915
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发表时间：
2005
影响因子：
5.7
通讯作者：
Li Jun Jiang;Weng Cho Chew
中科院分区：
文献类型：
--
作者：
Li Jun Jiang;Weng Cho Chew
快速多极算法在低频和中频表现为两种截然不同的形式。两者都可以在各自的制度下运作，但在其他制度下却站不住脚。本文报道了一种用混合形式分解格林函数的快速算法。低频快速多极子算法（LF-FMA）将用于低频或长波域，而多电平快速多极子算法（MLFMA）将用于中频或短波域。对于长波和波物理都很重要的对象建模，我们提出了一种混合形式的快速多极子算法（MF-FMA）。该算法没有低频故障，可以从静态（电路物理很重要）到动态（波物理很重要）无缝工作。
The fast multipole algorithm manifests in two very different forms at low frequencies and at mid frequencies. Each can operate in their respective regimes, but are not tenable in the other regimes. The paper reports on a way to factorize the Green's function for fast algorithm using a mixed form. The low-frequency fast multipole algorithm (LF-FMA) will be used at low frequencies or the long-wavelength regime, and the multilevel fast multipole algorithm (MLFMA) will be used for the mid frequencies or the shorter-wavelength regime. For object modeling where both long-wavelength and wave physics are important, we propose a mixed-form fast multipole algorithm (MF-FMA). This algorithm has no low frequency break down, and it can work seamlessly from static (where circuit physics is important) to dynamic (where wave physics is important).