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      Iterative solution of composite problems with the combined-field integral equation 

      Ergül, Özgür; Gürel, Levent (IEEE, 2007)
      We consider the solution of electromagnetic problems related to microwave applications involving composite geometries with coexisting open and closed conductors. Combined-field integral equation is introduced on the closed ...
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      Parallel-MLFMA solution of CFIE discretized with tens of millions of unknowns 

      Ergül, Özgür; Gürel, Levent (Institution of Engineering and Technology, 2007)
      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 ...
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      Efficient solution of the combined-field integral equation with the parallel multilevel fast multipole algorithm 

      Gürel, Levent; Ergül, Özgür (IEEE, 2007-08)
      We present fast and accurate solutions of large-scale scattering problems formulated with the combined-field integral equation. Using the multilevel fast multipole algorithm (MLFMA) parallelized on a cluster of computers, ...
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      Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns 

      Malas, Tahir; Ergül, Özgür; Gürel, Levent (2007-11)
      We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the ill-conditioned linear systems formulated by the electric-field ...
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      Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts 

      Ergül, Özgür; Gürel, Levent (IEEE, 2007-08)
      We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Three-dimensional objects are discretized with Rao-Wilton-Glisson functions and ...
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      MLFMA solutions of transmission problems Involving realistic metamaterial walls 

      Ergül, Özgür; Ünal, Alper; Gürel, Levent (IEEE, 2007-08)
      We present the solution of multilayer metamaterial (MM) structures containing large numbers of unit cells, such as split-ring resonators. Integral-equation formulations of scattering problems are solved iteratively by ...
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      Fast and accurate analysis of optical metamaterials using surface integral equations and the parallel multilevel fast multipole algorithm 

      Ergül, Özgür; Gürel, Levent (IEEE, 2013)
      We present fast and accurate simulations of optical metamaterials using surface integral equations and the multilevel fast multipole algorithm (MLFMA). Problems are formulated with the electric and magnetic current ...
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      Analysis of double-negative materials with surface integral equations and the multilevel fast multipole algorithm 

      Ergül O.; Gürel, Levent (IEEE, 2011)
      We present a fast and accurate analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). DNMs are commonly used as simplified models of metamaterials ...
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      Preconditioning iterative MLFMA solutions of integral equations 

      Gürel, Levent; Malas, Tahir; Ergül, Özgür (IEEE, 2010)
      The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solutions of electromagnetics problems with low complexity. Iterative solvers, however, are not robust for three-dimensional complex ...
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      Solutions of large integral-equation problems with preconditioned MLFMA 

      Ergül, Özgür; Malas, Tahir; Ünal, Alper; Gürel, Levent (IEEE, 2007)
      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 ...
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      AuthorGürel, Levent (11)Ergül, Özgür (10)Malas, Tahir (4)Ünal, Alper (2)Ergül O. (1)Keywords
      Electromagnetism (11)
      Integral equations (11)
      Iterative methods (7)Magnetism (5)Multilevel fast multipole algorithm (MLFMA) (5)Parallel algorithms (5)Computational electromagnetics (CEM) (4)Iterative solutions (4)Parallelization (4)Scattering problem (SP) (4)... View MoreDate Issued2007 (8)2010 (1)2011 (1)2013 (1)Type
      Conference Paper (11)
      Has File(s)Yes (11)

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