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首页> 外文期刊>Journal of Electromagnetic Waves and Applications >IE-DDM with a novel multiple-grid p-FFT for analyzing multiscale structures in half space
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IE-DDM with a novel multiple-grid p-FFT for analyzing multiscale structures in half space

机译：带有新型多重网格p-FFT的IE-DDM，可用于分析半空间中的多尺度结构

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摘要

We present an integral equation domain decomposition method accelerated by a novel multiple-grid precorrected fast Fourier transform (MG-p-FFT) for the efficient analysis of multiscale structures in a half space. Based on the philosophy of DDM, the original computational domain is partitioned into several non-overlapping sub-domains. By employing non-conformal discretizations to each domain boundaries, combined field integral equation with half-space dyadic Green's function is proposed for each individual subdomain. Subsequently, the MG-p-FFT with auxiliary Cartesian grids with different size, order, location, and spacing, is adopted in each sub-domain independently to account for the self-interactions. Here, the proposed MG-p-FFT scheme outperforms the existing single-grid p-FFT scheme for multiscale problems by reducing the computational time and memory consumption. The proposed method can also be viewed as an effective preconditioning scheme for multiscale problems in a half space. The validity and advantages of the proposed method are illustrated by several representative numerical examples.
机译：我们提出了一种通过新颖的多重网格预校正快速傅立叶变换（MG-p-FFT）加速的积分方程域分解方法，用于有效分析半空间中的多尺度结构。根据DDM的原理，将原始计算域划分为几个不重叠的子域。通过对每个域边界采用非保形离散，针对每个子域提出了具有半空间二进格林函数的组合场积分方程。随后，在每个子域中独立采用具有不同大小，顺序，位置和间距的辅助笛卡尔网格的MG-p-FFT，以解决自相互作用。在这里，所提出的MG-p-FFT方案通过减少计算时间和内存消耗，优于针对多尺度问题的现有单网格p-FFT方案。所提出的方法也可以看作是针对半空间中多尺度问题的有效预处理方案。几个典型的数值例子说明了该方法的有效性和优势。

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