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      • Department of Electrical and Electronics Engineering
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      Iterative solution of the normal-equations form of the electric-field integral equation

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      Author(s)
      Ergül, Özgür
      Gürel, Levent
      Date
      2007
      Source 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 Paper
      Item 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 equations
      Iterative algorithms
      MLFMA
      Surface waves
      Computational electromagnetics
      Electromagnetic scattering
      Computational geometry
      Permalink
      http://hdl.handle.net/11693/26954
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/APS.2007.4395880
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      • Department of Electrical and Electronics Engineering 3868
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