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      Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems

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      Author(s)
      Gürel, Levent
      Ergül, Özgür
      Date
      2011
      Source Title
      CEM'11 Computational Electromagnetics International Workshop
      Publisher
      IEEE
      Pages
      136 - 139
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
      216
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      Abstract
      This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent developments in parallel algorithms and high-performance computers, these problems can easily be solved with unprecedented levels of accuracy and detail. For example, using a parallel implementation of the multilevel fast multipole algorithm (MLFMA), we are able to solve electromagnetics problems discretized with hundreds of millions of unknowns. Unfortunately, as the problem size grows, it becomes difficult to assess the accuracy and efficiency of the solutions, especially when comparing different implementations. This paper presents our efforts to solve extremely large electromagnetics problems with an emphasis on accuracy and efficiency. We present a list of benchmark problems, which can be used to compare different implementations for large-scale problems. © 2011 IEEE.
      Keywords
      Bench-mark problems
      Dense matrices
      Electromagnetics
      High-performance computers
      Large-scale problem
      Multilevel fast multipole algorithms
      Parallel implementations
      Problem size
      Algorithms
      Computational electromagnetics
      Efficiency
      Electromagnetism
      Matrix algebra
      Problem solving
      Permalink
      http://hdl.handle.net/11693/28333
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/CEM.2011.6047347
      Collections
      • Computational Electromagnetics Research Center (BiLCEM) 84
      • Department of Electrical and Electronics Engineering 3702
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