IE-DDM with a novel multiple-grid p-FFT for analyzing multiscale structures in half space

Lan-Wei Guo, Yongpin Chen, Jun Hu, Joshua Le-Wei Li and ZaiPing Nie

Journal of Electromagnetic Waves and Applications, 2016, vol. 30, issue 16, 2138-2152

Abstract: 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 sub-domain. 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.

Date: 2016
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DOI: 10.1080/09205071.2016.1247752

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