Implicitly Restarted Gmres Fast Fourier Transform Method for Electromagnetic Scattering

References

• Wang , S. , Guan , X. , Wang , D. , Ma , X. and Su , Y. 2006 . Electromagnetic scattering by mixed conducting/dielectric objects using higher-order MOM . Progress In Electromagnetics Research , : 51 – 63 . PIER 66
   Google Scholar
• Maystre , D. 2006 . Electromagnetic scattering by a set of objects: an integral method based on scattering operator . Progress In Electromagnetics Research , : 55 – 84 . PIER 57
   Google Scholar
• Mallahzadeh , A. R. , Soleimani , M. and Rashed-Mohasse , J. 2006 . Scattering computation from the target with lossy background . Progress In Electromagnetics Research , : 151 – 163 . PIER 57
   Google Scholar
• Harrington , R. F. 1968 . Field Computation by Moment Method , Kriegr , FL : Melbourne .
   Google Scholar
• Kleinman , R. R. and van den Berg , P. M. 1991 . Iterative methods for solving integral equations . Progress In Electromagnetics Research , : 67 – 102 . PIER 05
   Google Scholar
• Bojarski , N. N. 1982 . The k-space formulation of the scattering problem in the time domain . J. Acoust. Soc. Amer. , 72 : 570 – 584 .
   Google Scholar
• 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 electromagnetic scattering . Progress In Electromagnetics Research , : 241 – 300 . PIER 05
   Google Scholar
• Zwamborn , A. P. M. and van den Berg , P. M. 1992 . The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems . IEEE Trans. Microwave Theory Tech. , 40 Sep. : 1757 – 1766 .
   Web of Science ®Google Scholar
• Zhang , Z. Q. and Liu , Q. H. 2001 . Three-dimensional weak-form conjugate and biconjugate-gradient FFT methods for volume integral equations . Microwave Opt. Tech. Lett. , 29 ( No. 5 ) : 350 – 356 .
   Google Scholar
• Zhang , Z. Q. , Liu , Q. H. and Xu , X. M. 2003 . RCS computation of large inhomogeneous objects using a fast integral equation solver . IEEE Trans. Antennas Propagat. , 51 ( No. 3 ) Mar.
   Google Scholar
• Rui , P. L. , Chen , R. S. and Fan , Z. H. 2005 . Fast analysis of electromagnetic scattering of 3D dielectric bodies with augmented GMRES-FFT method . IEEE Trans. Antennas Propagat. , accepted by
   Google Scholar
• Chen , R. S. and Yung , Edward. K. N. 2003 . Analysis of electromagnetic scattering of three dimensional dielectric bodies by use of Krylov-Subspace FFT iterative methods . Microwave and Optical Technology Letters , 39 ( No. 4 ) Nov. : 261 – 267 .
   Google Scholar
• Saad , Y. and Schultz , M. 1986 . GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems . SIAM Journal on Scientific and Statistical Computing , 7 : 856 – 869 .
   Web of Science ®Google Scholar
• Joubert , W. 1994 . On the convergence behavior of the restarted GMRES algorithm for solving nonsymmetric linear systems . Numerical Linear Algebra with Application , 1 : 427 – 447 .
   Google Scholar
• Erhel , J. , Burrage , K. and Pohl , B. 1996 . Restarted GMRES preconditioned by deflation . Comput. Appl. Math. , 69 : 303 – 318 .
   Web of Science ®Google Scholar
• Baglama , J. , Calvetti , D. , Golub , G. H. and Reichel , L. 1998 . Adaptively preconditioned GMRES algorithms . SIAM J. Sci. Comput. , 20 : 243 – 269 .
   Google Scholar
• Morgan , R. B. 2000 . Implicitly restarted GMRES and Arnoldi methods for nonsymmetric systems equations . SIAM J. Matrix Anal. Appl. , 21 : 1112 – 1135 .
   Web of Science ®Google Scholar
• Sorensen , D. C. 1992 . Implicit application of polynomial filters in a k-step Arnoldi method . SIAM Matrix Anal. Appl. , 13 : 357 – 385 .
   Web of Science ®Google Scholar
• Balanis , C. A. 1989 . Advanced Engineering Electromagnetics , New York : Wiley .
   Google Scholar
• Kong , J. A. 1986 . Electromagnetic Wave Theory , New York : Wiley .
   Google Scholar