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      Improving iterative solutions of the electric-field integral equation via transformations into normal equations

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      Author
      Ergül, Özgür
      Gürel, Levent
      Date
      2012-04-03
      Source Title
      Journal of Electromagnetic Waves and Applications
      Print ISSN
      0920-5071
      Publisher
      Taylor and Francis
      Volume
      24
      Issue
      16
      Pages
      2129 - 2138
      Language
      English
      Type
      Article
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      Abstract
      We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are solved iteratively by the generalized minimal residual (GMRES) algorithm accelerated with a parallel multilevel fast multipole algorithm. We show that the number of iterations is halved by transforming the original matrix equations into normal equations. This way, memory required for the GMRES algorithm is reduced by more than 50%, which is significant when the problem size is large.
      Keywords
      Conducting objects
      Dense matrices
      Discretizations
      Electromagnetics
      Generalized minimal residual algorithms
      GMRES algorithm
      Iterative solutions
      Matrix equations
      Multi-level fast multi-pole algorithm
      Normal equations
      Number of iterations
      Problem size
      Algorithms
      Antennas
      Integral equations
      Permalink
      http://hdl.handle.net/11693/22118
      Published Version (Please cite this version)
      http://dx.doi.org/10.1163/156939310793699082
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3524
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