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The stabilized biconjugate gradient fast Fourier transform method for electromagnetic scattering

机译：电磁散射的稳定双共轭梯度快速傅里叶变换方法

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摘要

An iterative method, the stabilized biconjugate gradient (BiCGSTAB) method, combined with the fast Fourier transform (FFT) for solving electromagnetic scattering problems is developed for 3-D volume electric field integral equation. It converges significantly faster than the conventional conjugate gradient (CG) and biconjugate gradient (BiCG) fast Fourier transform methods. With this BCGS-FFT method, we can solve a large-scale volume integral equation with 20 million unknowns on a single CPU workstation.

机译：针对3-D体积电场积分方程，开发了一种迭代方法，即稳定双共轭梯度（BiCGSTAB）方法和快速傅里叶变换（FFT）来解决电磁散射问题。它的收敛速度明显快于常规共轭梯度（CG）和双共轭梯度（BiCG）快速傅里叶变换方法。使用这种BCGS-FFT方法，我们可以在单个CPU工作站上求解具有2000万未知数的大规模体积积分方程。

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《》|2002年|p.614-617|共4页
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作者
Xuemin Xu; Qing Huo Liu; Zhong Wing Zhang;
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正文语种
中图分类无线电电子学、电信技术;
关键词
electromagnetic wave scattering; fast Fourier transforms; conjugate gradient methods; stabilized biconjugate gradient fast Fourier transform method; electromagnetic scattering; iterative method; BiCGSTAB method; FFT; 3-D volume electric field integra;

机译：电磁波散射快速傅立叶变换;共轭梯度法稳定的双共轭梯度快速傅里叶变换法;电磁散射迭代方法BiCGSTAB方法; FFT; 3-D体积电场积分;

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1. Three-dimensional electromagnetic nonlinear inversion in layered media by a hybrid diagonal tensor approximation: Stabilized biconjugate gradient fast Fourier transform method [J] . Wei BJ, Simsek E, Yu C, Waves in random and complex media . 2007,第2期

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3. Solution of the three-dimensional electromagnetic inverse problem by the local shape function and the conjugate gradient fast Fourier transform methods [J] . Jiun-Hwa Lin, Weng Cho Chew Journal of the Optical Society of America, A. Optics, image science, and vision . 1997,第11a12期

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4. The stabilized biconjugate gradient fast Fourier transform method for electromagnetic scattering [C] . Xuemin Xu, Qing Huo Liu, Zhong Qing Zhang IEEE Antennas and Propagation Society International Symposium . 2002

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The stabilized biconjugate gradient fast Fourier transform method for electromagnetic scattering

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