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鄰居單元為基礎(chǔ)的預(yù)條件方法及其應(yīng)用

李磊,  張玉,  謝擁軍,  梁昌洪

李磊, 張玉, 謝擁軍, 梁昌洪. 鄰居單元為基礎(chǔ)的預(yù)條件方法及其應(yīng)用[J]. 電子與信息學(xué)報(bào), 2005, 27(3): 502-504.
引用本文: 李磊, 張玉, 謝擁軍, 梁昌洪. 鄰居單元為基礎(chǔ)的預(yù)條件方法及其應(yīng)用[J]. 電子與信息學(xué)報(bào), 2005, 27(3): 502-504.
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.

鄰居單元為基礎(chǔ)的預(yù)條件方法及其應(yīng)用

Preconditioning Method Based

  • 摘要: 該文提出了一種具有物理意義的預(yù)條件方法--鄰居單元為基礎(chǔ)的預(yù)條件方法。該方法充分考慮了矩陣元素中的主要信息量,可以有效加快迭代收斂速度。在構(gòu)造預(yù)條件因子時(shí),采用從目標(biāo)的幾何結(jié)構(gòu)剖分出發(fā),而不是從矩陣元素出發(fā)確定基權(quán)函數(shù)之間的作用量關(guān)系,這樣保證了構(gòu)造預(yù)條件矩陣的計(jì)算復(fù)雜度僅為O(N)。作為實(shí)例,該文將這種預(yù)條件方法與共軛梯度方法結(jié)合應(yīng)用于矩量法基站天線分析所得方程的求解,數(shù)值結(jié)果表明了該文方法的有效性。
    Abstract: 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]劉其中,宮德明.天線的計(jì)算機(jī)輔助設(shè)計(jì).西安:西安電子科技大學(xué)出版社,1988.
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出版歷程
  • 收稿日期:  2003-12-15
  • 修回日期:  2004-04-27
  • 刊出日期:  2005-03-19

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