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      Effective preconditioners for large integral-equation problems 

      Malas, Tahir; Ergül, Özgür; Gürel, Levent (IET, 2007-11)
      We consider effective preconditioning schemes for the iterative solution of integral-equation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the near-field system enables ...
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      The solution of large EFIE problems via preconditioned multilevel fast multipole algorithm 

      Malas, Tahir; Gürel, Levent (Institution of Engineering and Technology, 2007)
      We propose an effective preconditioning scheme for the iterative solution of the systems formulated by the electric- field integral equation (EFIE). EFIE is notorious for producing difficult-to-solve systems. Especially, ...
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      Incomplete LU preconditioning for the electric-field integral equation 

      Malas, Tahir; Gürel, Levent (, 2006)
      Linear systems resulting from the electric-field integral equation (EFIE) become ill-conditioned, particularly for large-scale problems. Hence, effective preconditioners should be used to obtain the iterative solution with ...
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      Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations 

      Malas, Tahir; Gürel, Levent (IEEE, 2009-07)
      We propose direct and iterative versions of approximate Schur preconditioners to increase robustness and efficiency of iterative solutions of dielectric problems formulated with surface integral equations. The performance ...
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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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      Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners 

      Ergül, Özgür; Malas, Tahir; Yavuz, Ç; Ünal, Alper; Gürel, Levent (IEEE, 2007-11)
      We consider accurate solution of scattering problems involving complicated metamaterial (MM) structures consisting of thin wires and split-ring resonators. The scattering problems are formulated by the electric-field ...
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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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      Sequential and parallel preconditioners for large-scale integral-equation problems 

      Malas, Tahir; Ergül, Özgür; Gürel, Levent (IEEE, 2007)
      For efficient solutions of integral-equation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for ...
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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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      An effective preconditioner based on schur complement reduction for integral-equation formulations of dielectric problems 

      Malas, Tahir; Gürel, Levent (IEEE, 2009)
      The author consider effective preconditioning of recently proposed two integral-equation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral ...
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      AuthorGürel, Levent (13)
      Malas, Tahir (13)
      Ergül, Özgür (8)Ünal, Alper (2)Yavuz, Ç (1)Keywords
      Integral equations (13)
      Electromagnetic scattering (6)Linear systems (6)Preconditioners (6)Iterative solutions (5)Computational electromagnetics (4)Electromagnetic wave scattering (4)Electromagnetism (4)Iterative methods (4)MLFMA (4)... View MoreDate Issued2007 (8)2009 (3)2006 (1)2010 (1)Type
      Conference Paper (13)
      Has File(s)Yes (13)

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