2003•Unpublished venueRequires access

The stabilized biconjugate gradient fast Fourier transform method for electromagnetic scattering

Xuemin Xu, Qing Huo Liu, Zhong Wing Zhang

Abstract

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.

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Key concepts: Biconjugate gradient method, Biconjugate gradient stabilized method, Conjugate gradient method, Fast Fourier transform, Fourier transform, Integral equation, Conjugate residual method, Mathematics