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Articles

A Comparative Assessment Among Iterative Linear Solvers Dealing with Electromagnetic Integral Equations in 3D Inhomogeneous Anisotropic Media

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Pages 899-914 | Published online: 03 Apr 2012

References

  • Richmond , J. H. 1965 . Scattering by a dielectric cylinder of arbitrary cross section . IEEE Trans. Antennas Propagat. , 13 Mar. : 334 – 341 .
  • Bojarski , N. N. 1982 . K-space formulation of the scattering problem in the time domain . J. Acoust. Soc. Am. , 72 : 570 – 584 .
  • Lesselier , D. and Duchene , B. 1991 . Buried, 2-D penetrable objects illuminated by line sources: FFT-based iterative computations of the anomalous field . Progress In Electromagnetics Research , : 351 – 389 . PIER 5
  • Sarkar , T. K. , Arvas , E. and Rao , S. M. 1986 . Application of FFT and the conjugate method for the solution of electromagnetic radiation from electrically large and small conducting bodies . IEEE Trans. Antennas Propagat. , 34 May : 635 – 640 .
  • Kastner , R. 1988 . A conjugate gradient procedure for analysis of planar conductors with alternating patch and aperture formulation . IEEE Trans. Antennas Propagat. , 36 Nov. : 1616 – 1620 .
  • Peters , T. J. and Volakis , J. L. 1988 . Application of a conjugate gradient FFT method to scattering from thin planar material plates . IEEE Trans. Antennas Propagat. , 36 Apr. : 518 – 526 .
  • Catedra , M. F. , Cuevas , J. G. and Nuno , L. 1988 . A scheme to analyze conducting plates of resonant size using the conjugate gradient method and fast Fourier transform . IEEE Trans. Antennas Propagat. , 36 Dec. : 1744 – 1752 .
  • Peterson , A. F. , Ray , S. L. , Chen , C. H. and Mittra , R. 1991 . Numerical implementations of the conjugate gradient method and the CG-FFT for electromagentic scattering . Progress In Electromagnetics Research , : 241 – 300 . PIER 5
  • Volakis , J. L. and Barkeshli , K. 1991 . Applications of the conjugate gradient FFT method to radiation and scattering . Progress In Electromagnetics Research , : 159 – 239 . PIER 5
  • Zwamborn , P. and van den Berg , P. M. 1991 . A weak form of the conjugate gradient FFT method for two-dimensional TE scattering problems . IEEE Trans. Microwave Theory Tech. , 39 Jun. : 953 – 960 .
  • Zwamborn , P. and van den Berg , P. M. 1992 . The three-dimensional weak form of the conjugate gradient FFT method for scattering problems . IEEE Trans. Microwave Theory Tech. , 40 Sep. : 1757 – 1766 .
  • Abubakar , A. and van den Berg , P. M. 1998 . Three-dimensional nonlinear inversion in cross-well electrode logging . Radio Science , 33 ( No. 4 ) : 989 – 1004 .
  • Abubakar , A. and van den Berg , P. M. 2004 . Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects . Journal of Computational Physics , 195 : 236 – 262 .
  • Zhang , Z. Q. and Liu , Q. H. 2001 . Three-dimensional weak-form conjugate- and biconjugate-gradient FFT methods for volume integral equations . Microwave Opt. Technol. Lett. , 29 Jun. : 350 – 356 .
  • Zhang , Z. Q. and Liu , Q. H. 2003 . Applications of the BCGS-FFT method to 3-D induction well logging problems . IEEE Geosci. Remote Sensing , 41 May : 998 – 1004 .
  • Chew , W. C. 1999 . Waves and Fields in Inhomogenous Media , Wiley-IEEE Press .
  • Kong , J. A. 1990 . Electromagnetic Wave Theory , New York , , USA : John Wiley .
  • Van den Berg , P. M. 1985 . Iterative schemes based on the minimization of the error in field problems . Electromagnetics , 5 : No. 2 – 3 . 237–262
  • Gan , H. and Chew , W. C. 1995 . A discrete BCG-FFT algorithm for solving 3D inhomogeneous scatterer problems . JEMWA , 9 : 1339 – 1357 .
  • Freund , R. and Nachtigal , N. 1991 . QMR: A quasi-minimal residual method for non-hermitian linear systems . Numer. Math. , 60 : 315 – 339 .
  • Saad , Y. and Schultz , M. H. 1986 . GMRES: A generelized minimal residual algorithm for solving nonsymmetric linear systems . SIAM J. Sci. Stat. Comput. , 7 Jul. : 856 – 869 .

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