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Articles

On the preconditioners of higher order method of moments for scattering by homogeneous dielectric objects

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Pages 1809-1819 | Received 16 Apr 2012, Accepted 21 Jun 2012, Published online: 10 Aug 2012

References

  • Ergul , O . 2011 . Parallel implementation of MLFMA for homogeneous objects with various material properties . Progress In Electromagnetics Research , 121 : 505 – 520 .
  • Ubeda , E , Tamayo , JM and Rius , JM . 2011 . Taylor-orthogonal basis functions for the discretization in method of moments of second kind integral equations in the scattering analysis of perfectly conducting or dielectric objects . Progress In Electromagnetics Research , 119 : 85 – 105 .
  • Sheng , XQ , Jin , JM , Song , J , Chew , WC and Lu , CC . 1998 Nov . Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies . IEEE Transactions on Antennas and Propagation , 46 ( 11 ) : 1718 – 1726 .
  • Ylä-Oijala , P and Taskinen , M . 2005 Mar . Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects . IEEE Transactions on Antennas and Propagation , 53 ( 3 ) : 1168 – 1173 .
  • Ergul , O and Gurel , L . 2009 Jan . Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm . IEEE Transactions on Antennas and Propagation , 57 ( 1 ) : 176 – 187 .
  • Cui , Z-W , Han , Y-P and Li , M-L . 2011 . Solution of CFIE-JMCFIE using parallel MoM for scattering by dielectrically coated conducting bodies . Journal of Electromagnetic Waves and Applications , 25 ( 2–3 ) : 211 – 222 .
  • Donepudi , KC , Jin , JM and Chew , WC . 2003 Oct . A higher-order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies . IEEE Transactions on Antennas and Propagation , 51 ( 10 ) : 2814 – 2821 .
  • Notaroš , BM . 2008 Aug . Higher order frequency-domain computational electromagnetic . IEEE Transactions on Antennas and Propagation , 56 ( 8 ) : 2251 – 2276 .
  • Djordjevic , M and Notaroš , BM . 2004 Aug . Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatterers . IEEE Transactions on Antennas and Propagation , 52 ( 8 ) : 2118 – 2129 .
  • Eibert , TF , Ismatullah , Kaliyaperumal , E and Schmidt , CH . 2010 . Inverse equivalent surface current method with hierarchical higher order basis functions, full probe correction and multilevel fast multipole acceleration . Progress In Electromagnetics Research , 106 : 377 – 394 .
  • Lai , B , Wang , N , Yuan , H-B and Liang , C-H . 2010 . Hybrid method of higher-order MoM and nystrom discretization PO for 3D PEC problems . Progress In Electromagnetics Research , 109 : 381 – 398 .
  • Pan , X-M , Cai , L and Sheng , X-Q . 2012 . An efficient high order multilevel fast multipole algorithm for electromagnetic scattering analysis . Progress In Electromagnetics Research , 126 : 85 – 100 .
  • Sertel , K and Volakis , JL . 2000 Aug . Incomplete LU preconditioning for FMM implementation . Microwave and Optical Technology Letters , 26 ( 4 ) : 265 – 267 .
  • Pan XM, Sheng XQ. An efficient parallel SAI preconditioner for multilevel fast multipole algorithm for scattering by extremely large complex targets. 2009 International Conference on Microwave Technology and Computational Electromagnetics; 2009:407–410.
  • Malas , T and Gürel , L . 2011 . Schur complement preconditioners for surface integral-equation formulations of dielectric problems solved with the multilevel fast multipole algorithm . SIAM Journal on Scientific Computing , 33 ( 5 ) : 2440 – 2467 .
  • Lee , JF , Lee , R and Burkholder , RJ . 2003 Aug . Loop star basis functions and a robust preconditioner for EFIE scattering problems . IEEE Transactions on Antennas and Propagation , 51 ( 8 ) : 1855 – 1863 .
  • Vouvakis , MN , Lee , SC , Zhao , K and Lee , JF . 2004 Nov . A symmetric FEM-IE formulation with a single-level IE-QR algorithm for solving electromagnetic radiation and scattering problems . IEEE Transactions on Antennas and Propagation , 52 : 3060 – 3070 .
  • Jørgensen , E , Volakkis , JL , Meincke , P and Breinbjerg , O . 2004 Nov . Higher order hierarchical Legendre basis functions for electromagnetic modeling . IEEE Transactions on Antennas and Propagation , 52 ( 11 ) : 2985 – 2995 .
  • Graglia , RD , Wilton , DR and Peterson , AF . 1997 Mar . Higher order interpolatory vector bases for computational electromagnetic . IEEE Transactions on Antennas and Propagation , 45 ( 3 ) : 329 – 342 .
  • Djordjevic , M and Notaroš , BM . Apr. 2003 . Higher-order hierarchical basis functions with improved orthogonality properties for method of moments of metallic and dielectric microwave structures . Microwave and Optical Technology Letters , 37 ( 2 ) : 83 – 88 .
  • Sun , DK , Lee , JF and Cendes , Z . 2001 . Construction of nearly orthogonal Nedelec bases for rapid convergence with multilevel preconditioned solvers . SIAM Journal on Scientific Computing , 23 ( 4 ) : 1053 – 1076 .
  • Hu , FG , Wang , CF and Gan , YB . Jan. 2007 . Efficient calculation of interior scattering from large three-dimensional PEC cavities . IEEE Transactions on Antennas and Propagation , 55 ( 1 ) : 167 – 177 .
  • Khayat , MA and Wilton , DR . 2005 Oct . Numerical evaluation of singular and near-singular potential integrals . IEEE Transactions on Antennas and Propagation , 53 ( 10 ) : 3180 – 3190 .
  • Lee , JF , Zhan , J and Lu , C-C . 2003 Feb . Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems . Journal of Computational Physics , 185 ( 1 ) : 158 – 175 .
  • Saad , Y . 1994 . ILUT: A dual threshold incomplete LU factorization . Numerical Linear Algebra with Applications , 1 ( 4 ) : 387 – 402 .

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