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Volume 27 Issue 3
Mar.  2005
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Li Lei, Zhang Yu, Xie Yong-jun, Liang Chang-hong. Preconditioning Method Based[J]. Journal of Electronics & Information Technology, 2005, 27(3): 502-504.
Citation: Li Lei, Zhang Yu, Xie Yong-jun, Liang Chang-hong. Preconditioning Method Based[J]. Journal of Electronics & Information Technology, 2005, 27(3): 502-504.

Preconditioning Method Based

  • Received Date: 2003-12-15
  • Rev Recd Date: 2004-04-27
  • Publish Date: 2005-03-19
  • A new preconditioning method based on neighbor element which has distinct physical background is presented in this paper. The dominant information of impedance matrix is fully considered in the neighbor element preconditioner. The preconditioner is generated from the targets geometry structure and not from the matrix element, which assured the computational complexity for generating the preconditioner is only O(N). This preconditioning method combined with conjugate-gradient method is used to solve the integral-equations generated from a base station antenna with MoM method in this paper. Numerical results are presented to demonstrate the validity of this method.
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  • Chen K. On a class of preconditioning methods for dense linear systems from boundary elements[J].SIAM. J. Sci. Comp.1998,20(5):684-[2]Amini S, Maines N D. Preconditioned Krylov subspace methods for boundary element solution of the Helmholtz equation[J].Int. J.Numer. Meth. Eng.1998, 41(6):875-3.0.CO;2-9' target='_blank'>[3]West J C. Preconditioned iterative solution of scattering from rough surfaces. IEEE Trans. on Antennas Propagat., 2000, AP-48:1001 - 1002.[4]Chen R S, Yung E K N, Chan C H, et al.. Application of preconditioned conjugate-gradient algorithm to the edge FEM for electromagnetic boundary-value problems[J].Microwave Opt.Technol. Lett.2000, 27:235-3.0.CO;2-8' target='_blank'>[5]Axelsson O, Kolotilina L Y. Preconditioned conjugate gradient methods, Proceedings 1989, in A. Dold, B. Eckmann, and F.Takens, Eds. Lecture Notes in Mathematics Vol. 1457. New York,Springer, 1990:44 - 57.[6]Ahn C H, Chew W C, Zhao J S, et al.. Numerical study of approximate inverse preconditioner for two-dimensional engine inlet problems. Electromag., i999, 19:131 - 146.[7]Botros Y Y, Volakis J L. Preconditioned generalized minimal residual iterative scheme for perfectly matched layer terminated application. IEEE Microwave and Guided Wave Lett., 1999,45 - 47.[8]Yaghjian A D. Banded-matrix preconditioning for electric-field integral equations, IEEE APS Int. Symp. Dig., Montreal, Canada,1997: 1806- 1809.[9]Xie Yongjun, He Jiangqi, Sullivan Anders, et al.. A simple preconditioner for electric-field integral equations[J].Microwave Opt. Technol. Lett.2001, 30:51-[10]Rao S M, Wilton D R, Glisson A W. Electromagnetic Scattering by Surfaces of Arbitrary Shape, IEEE Trans. on Antennas Propagat., May 1982, AP-30(3): 409 - 418.[11]刘其中,宫德明.天线的计算机辅助设计.西安:西安电子科技大学出版社,1988.
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