39
Views
2
CrossRef citations to date
0
Altmetric
Articles

Relaxed Incomplete Cholesky Factorization Preconditioned Symmetric LBCG Algorithm for Solving Electromagnetic Problems

, &
Pages 2237-2249 | Published online: 03 Apr 2012

References

  • Jin , J. M. 1993 . State Rad Finite Element Method in Electromagnetics , New York : J. Wiley & Sons .
  • Benzi , M. , Haws , J. C. and Tuma , M. 2000 . Preconditioning highly indefinite and nonsymmetric matrices . SIAM J. Sci. Compute. , 22 ( No. 4 ) : 1333 – 1353 .
  • Press , W. H. Numerical Recipes in Fortran: The Art of Scientific Computing , 1986 – 1992 . Cambridge : Cambridge University press .
  • Ise , K. , Inoue , K. and Koshiba , M. 1991 . Three-dimensional finiteelement method with edge elements for electromagnetic waveguide discontinuities . IEEE Trans. Microwave Theory & Tech. , 39 Aug. : 1289 – 1295 .
  • Wang , J. S. and Mittra , R. 1944 . Finite element analysis of MMIC structures and electronic packages using absorbing boundary conditions . IEEE Trans. Microwave Theory & Tech. , 42 Mar. : 441 – 449 .
  • Benzi , M. 2002 . Preconditioning techniques for large linear systems: A survey . J. Phys. Comput. , 182 : 418 – 477 .
  • Saad , Y. 1996 . Iterative Methods for Sparse Linear System , Boston : PWS Pub. Co .
  • Chen , R. S. , Ping , X. W. , Yung , E. K. N. , Chan , C. H. , Nie , Z. and Hu , J. 2006 . Application of diagonally perturbed incomplete factorization preconditioned conjugate gradient algorithms for edge finite-element analysis of Helmholtz equations . IEEE Trans. Antennas and Propagation , 54 : 1604 – 1608 .
  • Hladic , I. , Reed , M. B. and Swoboda , G. 1997 . Robust preconditioners for linear elasticity FEM analyses . Int. J. Number. Meth. Eng. , 40 : 2109 – 2127 .
  • Made , M. M. M. 2001 . Incomplete factorization-based preconditionings for solving the Helmholtzequation . Int. J. Numer. Meth. Eng. , 50 : 1077 – 1101 .
  • Axelsson , O. and Kolotilina , L. 1994 . Diagonally compensated reduction and related preconditioning methods . Numer. Linear Algebra Appl. , 1 : 155 – 177 .
  • Zhao , L. , Cui , T.-J. and Li , W.-D. 2007 . An efficient algorithm for EM scattering by electrically large dielectric objects using Mr-Qeb iterative scheme and Cg-FFT method . Progress In Electromagnetics Research , PIER 67 : 341 – 355 .
  • Chen , R. S. , Fang , D. G. , Tsang , K. F. and Yung , E. K. N. 2001 . Analysis of electromagnetic wave scattering by an electrically large metallic grating using wavelet-based algebratic multigrid preconditioned Cg method . Progress In Electromagnetics Research , PIER 31 : 89 – 112 .
  • Carpentieri , B. 2008 . Fast iterative solution methods in electromagnetic scattering . Progress In Electromagnetics Research , PIER 79 : 151 – 178 .
  • Wang , Y. , Xie , Y.-J. and Feng , H. 2008 . Analysis of cylindrically conformal microstrip structures using an iterative method . Progress In Electromagnetics Research , PIER 87 : 215 – 231 .
  • Oraizi , H. and Abdolali , A. 2008 . Combination of MLS, GA & CG for the reduction of RCS of multilayered cylindrical structures composed of dispersive metamaterials . Progress In Electromagnetics Research B , 3 : 227 – 253 .
  • Xin , Y. F. and Rui , P.-L. 2008 . Adaptively accelerated GMRES fast fourier transform method for electromagnetic scattering . Progress In Electromagnetics Research , PIER 81 : 303 – 314 .
  • Xin , Y. F. and Rui , P.-L. 2008 . Adaptively accelerated GMRES fast fourier transform method for electromagnetic scattering . Progress In Electromagnetics Research , PIER 81 : 303 – 314 .
  • Zunoubi , M. R. and Kishk , A. A. 2005 . A combined Bi-CGSTAB (1) and wavelet transform method for EM problems using method of moments . Progress In Electromagnetics Research , PIER 52 : 205 – 224 .
  • Sun , X. Y. and Nie , Z.-P. 2008 . Vector finite element analysis of multicomponent induction response in anisotropic formations . Progress In Electromagnetics Research , PIER 81 : 21 – 39 .
  • Tai , C.-C. and Pan , Y.-L. 2008 . Finite element method simulation of photoinductive imaging for cracks . Progress In Electromagnetics Research Letters , 2 : 53 – 61 .
  • Sha , W. , Wu , X.-L. , Huang , Z.-X. and Chen , M.-S. 2008 . Maxwell's equations, symplectic matrix, and grid . Progress In Electromagnetics Research B , 8 : 115 – 127 .

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.