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      Parallel-MLFMA solution of CFIE discretized with tens of millions of unknowns

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      Author
      Ergül, Özgür
      Gürel, Levent
      Date
      2007
      Source Title
      Proceedings of the 2nd European Conference on Antennas and Propagation, EuCAP 2007
      Publisher
      Institution of Engineering and Technology
      Volume
      2007
      Issue
      11961
      Language
      English
      Type
      Conference Paper
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      Abstract
      We consider the solution of large scattering problems in electromagnetics involving three-dimensional arbitrary geometries with closed surfaces. The problems are formulated accurately with the combined-field integral equation and the resulting dense matrix equations are solved iteratively by employing the multilevel fast multipole algorithm (MLFMA). With an efficient parallelization of MLFMA on relatively inexpensive computing platforms using distributed-memory architectures, we easily solve large-scale problems that are discretized with tens of millions of unknowns. Accuracy of the solutions is demonstrated on scattering problems involving spheres of various sizes, including a sphere of radius 110 λ discretized with 41,883,638 unknowns, which is the largest integral-equation problem ever solved, to the best of our knowledge. In addition to canonical problems, we also present the solution of real-life problems involving complicated targets with large dimensions.
      Keywords
      Combined-field integral equation
      Electromagnetic scattering
      Largescale problems
      Multilevel fast multipole algorithm
      Parallelization
      Electromagnetic wave scattering
      Electromagnetism
      Integral equations
      Parallel algorithms
      Antennas
      Permalink
      http://hdl.handle.net/11693/26973
      Published Version (Please cite this version)
      http://dx.doi.org/10.1049/ic.2007.1147
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 85
      • Department of Electrical and Electronics Engineering 3601
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