• About
  • Policies
  • What is openaccess
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Electrical and Electronics Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Solutions of large integral-equation problems with preconditioned MLFMA

      Thumbnail
      View / Download
      272.6 Kb
      Author
      Ergül, Özgür
      Malas, Tahir
      Ünal, Alper
      Gürel, Levent
      Date
      2007
      Source Title
      Proceedings of the 37th European Microwave Conference, EuMA 2007
      Publisher
      IEEE
      Pages
      166 - 169
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
      84
      views
      49
      downloads
      Metadata
      Show full item record
      Abstract
      We report the solution of the largest integral-equation problems in computational electromagnetics. We consider matrix equations obtained from the discretization of the integral-equation formulations that are solved iteratively by employing parallel multilevel fast multipole algorithm (MLFMA). With the efficient parallelization of MLFMA, scattering and radiation problems with millions of unknowns are easily solved on relatively inexpensive computational platforms. For the iterative solutions of the matrix equations, we are able to obtain accelerated convergence even for ill-conditioned matrix equations using advanced preconditioning schemes, such as nested preconditioned based on an approximate MLFMA. By orchestrating these diverse activities, we have been able to solve a closed geometry formulated with the CFIE containing 33 millions of unknowns and an open geometry formulated with the EFIE containing 12 millions of unknowns, which are the largest problems of their classes, to the best of our knowledge.
      Keywords
      Computational geometry
      Electromagnetic wave scattering
      Electromagnetism
      Integral equations
      Materials science
      Microwaves
      Numerical analysis
      Parallel algorithms
      Scattering
      Electromagnetic scattering
      Metamaterials
      Multilevel fast multipole algorithm
      Parallelization
      Preconditioning techniques
      Surface integral equations
      Iterative methods
      Permalink
      http://hdl.handle.net/11693/27033
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/EUMC.2007.4405152
      Collections
      • Computational Electromagnetics Research Center 71
      • Department of Electrical and Electronics Engineering 3337

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartments

      My Account

      Login

      Statistics

      View Usage Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 1771
      Copyright © Bilkent University | Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin