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      Solution of extremely large integral-equation problems

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      Author
      Ergül, Özgür
      Malas, Tahir
      Gürel, Levent
      Date
      2007
      Source Title
      Proceedings of the International Conference on Electromagnetics in Advanced Applications, IEEE 2007
      Publisher
      IEEE
      Pages
      970 - 973
      Language
      English
      Type
      Conference Paper
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      Abstract
      We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative methods, preconditioning techniques, and parallelization, we are able to solve scattering problems that are discretized with tens of millions of unknowns. Specifically, we report the solution of a closed geometry containing 42 million unknowns and an open geometry containing 20 million unknowns, which are the largest problems of their classes, to the best of our knowledge.
      Keywords
      Electromagnetism
      Integral equations
      Magnetism
      Numerical analysis
      Parallel algorithms
      Advanced applications
      Conducting bodies
      Electromagnetic scattering
      International conferences
      Multilevel fast multipole algorithm (MLFMA)
      Open geometry
      Parallelization
      Preconditioning techniques
      Scattering problem (SP)
      Iterative methods
      Permalink
      http://hdl.handle.net/11693/27056
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/ICEAA.2007.4387468
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3601
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