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      Solutions of large-scale electromagnetics problems using an iterative inner-outer scheme with ordinary and approximate multilevel fast multipole algorithms

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      Author
      Ergül, A.
      Malas, T.
      Gürel, Levent
      Date
      2010
      Source Title
      Progress in Electromagnetics Research
      Print ISSN
      1070-4698
      Volume
      106
      Pages
      203 - 223
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      We present an iterative inner-outer scheme for the efficient solution of large-scale electromagnetics problems involving perfectly-conducting objects formulated with surface integral equations. Problems are solved by employing the multilevel fast multipole algorithm (MLFMA) on parallel computer systems. In order to construct a robust preconditioner, we develop an approximate MLFMA (AMLFMA) by systematically increasing the efficiency of the ordinary MLFMA. Using a flexible outer solver, iterative MLFMA solutions are accelerated via an inner iterative solver, employing AMLFMA and serving as a preconditioner to the outer solver. The resulting implementation is tested on various electromagnetics problems involving both open and closed conductors. We show that the processing time decreases significantly using the proposed method, compared to the solutions obtained with conventional preconditioners in the literature.
      Keywords
      Conducting objects
      Electromagnetics
      Iterative solvers
      Multi-level fast multi-pole algorithm
      Multilevel fast multipole algorithms
      Parallel computer systems
      Preconditioners
      Processing time
      Surface integral equations
      Algorithms
      Integral equations
      Electromagnetism
      Permalink
      http://hdl.handle.net/11693/22120
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3524
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