Iterative solution of the normal-equations form of the electric-field integral equation
Date
2007Source Title
Proceedings of the Antennas and Propagation Society International Symposium, IEEE 2007
Print ISSN
1522-3965
Publisher
IEEE
Pages
1857 - 1860
Language
English
Type
Conference PaperItem Usage Stats
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Abstract
In this paper, we show that transforming the original equations into normal equations improves the convergence of EFIE significantly. We present the solutions of EFIE by employing the least-squares QR (LSQR) algorithm, which corresponds to a stable application of the conjugate gradient (CG) algorithm on the normal equations. Despite the squaring of the condition number due to such a transformation into the normal equations, LSQR improves the convergence rate of the iterative solutions of EFIE and performs better than many other iterative algorithms that are commonly used in the literature. In addition to LSQR, we present the accelerated convergence of the normal equations in the context of the generalized minimal residual (GMRES) algorithm, where the memory requirement is reduced significantly due to the improved convergence characteristics.
Keywords
Integral equationsIterative algorithms
MLFMA
Surface waves
Computational electromagnetics
Electromagnetic scattering
Computational geometry