43
Views
7
CrossRef citations to date
0
Altmetric
Articles

Improving Iterative Solutions of the Electric-Field Integral Equation Via Transformations Into Normal Equations

&
Pages 2129-2138 | Published online: 03 Apr 2012

References

  • Poggio , A. J. and Miller , E. K. 1973 . “ Integral equation solutions of three-dimensional scattering problems ” . In Computer Techniques for Electromagnetics , Edited by: Mittra , R. Oxford : Pergamon Press . Chap. 4
  • Wilton , D. R. and Wheeler , J. E. III . 1991 . Comparison of convergence rates of the conjugate gradient method applied to various integral equation formulations . Progress In Electromagnetics Research , 5 : 131 – 158 .
  • Ergül , Ö and Gürel , L. 2009 . Iterative solutions of hybrid integral equations for coexisting open and closed surfaces . IEEE Trans. Antennas Propag. , 57 ( No. 6 ) Jun. : 1751 – 1758 .
  • Song , J. , Lu , C.-C. and Chew , W. C. 1997 . Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects . IEEE Trans. Antennas Propag. , 45 ( No. 10 ) Oct. : 1488 – 1493 .
  • Paige , C. C. and Saunders , M. A. 1982 . LSQR: An algorithm for sparse linear equations and sparse least squares . ACM Trans. Math. Software , 8 ( No. 1 ) Mar. : 43 – 71 .
  • Saad , Y. and Schultz , M. H. 1986 . GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems . SIAM J. Sci. Stat. Comput. , 7 ( No. 3 ) : 856 – 869 .
  • Van Der Vorst , H. A. 1992 . Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems . SIAM J. Sci. Stat. Comput. , 13 ( No. 2 ) Mar. : 631 – 644 .
  • Ergül , Ö and Gürel , L. 2008 . Efficient solution of the electric-field integral equation using the iterative LSQR algorithm . IEEE Antennas Wireless Propag. Lett. , 7 : 36 – 39 .
  • Ergül , Ö . and Gürel , L. 2009 . A hierarchical partitioning strategy for efficient parallelization of the multilevel fast multipole algorithm . IEEE Trans. Antennas Propag. , 57 ( No. 6 ) Jun. : 1740 – 1750 .
  • Nie , X.-C. , Li , L.-W. and Yuan , N. 2002 . Precorrected-Fft algorithm for solving combined field integral equations in electromagnetic scattering . Journal of Electromagnetic Waves and Applications , 16 ( No. 8 ) : 1171 – 1187 .
  • Wang , P. and Xie , Y. 2006 . Scattering and radiation problem of surface/surface junction structure with multilevel fast multipole algorithm . Journal of Electromagnetic Waves and Applications , 20 ( No. 15 ) : 2189 – 2200 .
  • Taboada , J. M. , Araujo , M. G. , Bertolo , J. M. , Landesa , L. , Obelleiro , F. and Rodriguez , J. L. 2010 . MLFMA-FFT parallel algorithm for the solution of large-scale problems in electromagnetics . Progress In Electromagnetics Research , 105 : 15 – 30 .
  • Ergül , Ö. , Malas , T. and Gürel , L. 2010 . Solutions of largescale electromagnetics problems using an iterative inner-outer scheme with ordinary and approximate multilevel fast multipole algorithms . Progress In Electromagnetics Research , 106 : 203 – 223 .
  • Carpentieri , B. 2008 . Fast iterative solution methods in electromagnetic scattering . Progress In Electromagnetics Research , 79 : 151 – 178 .
  • Gürel , L. and Ergül , Ö. 2008 . Design and simulation of circular arrays of trapezoidal-tooth log-periodic antennas via genetic optimization . Progress In Electromagnetics Research , 85 : 243 – 260 .
  • Chen , Y. , Yang , S. , He , S. and Nie , Z.-P. 2009 . Design and analysis of wideband planar monopole antennas using the multilevel fast multipole algorithm . Progress In Electromagnetics Research B , 15 : 95 – 112 .
  • Yang , M.-L. and Sheng , X.-Q. 2009 . Parallel high-order FE-BIMLFMA for scattering by large and deep coated cavities loaded with obstacles . Journal of Electromagnetic Waves and Applications , 23 ( No. 13 ) : 1813 – 1823 .
  • Ping , X. W. , Cui , T.-J. and Lu , W. B. 2009 . The combination of bcgstab with multifrontal algorithm to solve febi-mlfma linear systems arising from inhomogeneous electromagnetic scattering problems . Progress In Electromagnetics Research , 93 : 91 – 105 .
  • Peng , Z. , Sheng , X.-Q. and Yin , F. 2009 . An efficient twofold iterative algorithm of FE-BI-MLFMA using multilevel inverse-based ilu preconditioning . Progress In Electromagnetics Research , 93 : 369 – 384 .
  • Ouyang , J. , Yang , F. , Yang , S. W. and Nie , Z. P. 2007 . Exact simulation method VSWIE+MLFMA for analysis radiation pattern of probe-feed conformal microstrip antennas and the application of synthesis radiation pattern of conformal array mounted on finite-length PEC circular cylinder with DEs . Journal of Electromagnetic Waves and Applications , 21 ( No. 14 ) : 1995 – 2008 .
  • Gürel , L. , Ergül , Ö . , Unal , A. and Malas , T. 2009 . Fast and accurate analysis of large metamaterial structures using the multilevel fast multipole algorithm . Progress In Electromagnetics Research , 95 : 179 – 198 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.