分析波導問題的松弛迭代區(qū)域分解法
A relaxed iterative domain decomposition method for waveguide problems
-
摘要: 針對基于Schwarz交替法的選代區(qū)域分解法,在分析波導問題時遇到的不收斂的困難,該文從實際場分布出發(fā),在劃分區(qū)域的虛擬邊界上給出了連接子域的吸收虛擬邊界條件,用以保證相鄰子域間的波傳播,從而構(gòu)建了一種能夠分析波導問題的收斂的迭代區(qū)域分解法。在此基礎上進一步引入松弛算法,用于加快迭代收斂速度。數(shù)值計算結(jié)果表明了該方法的有效性。Abstract: Domain decomposition method (DDM) based on the Schwarz alternating method is divergent when it is used to analyze waveguide problems. In the paper, an absorbing fictitious boundary condition (FBC) is presented to generate an iterative DDM for waveguide problems. The FBC which connects the subdomains on fictitious boundaries is developed according to the actual field distribution in the waveguide to ensure the propagation of waves between adjacent subdomains. And the relaxation algorithm is introduced to improve the speed of iterative subdomains. And the relaxation algorithm is introduced to improve the speed of iterative convergence. Finally, a number of numerical examples are given to demonstrate its efficiency.
-
B. Despres, Domain decomposition method and the Helmholtz problem (Part Ⅱ), in Proc. 2nd Int. Conf. Mathemat. Numerical Aspects Wave Propagat., Dover. DE. SIAM ed., 1993, 197-206.[2]呂濤,石濟民,林振寶,區(qū)域分解算法-偏微分方程數(shù)值解新技術(shù),北京,科學出版社,1997,第6,8章.[3]B. Stupfel, A fast-domain decomposition method for the solution of electromagnetic scattering by large objects, IEEE Trans. on AP, 1996, 44(10), 1375-1385.[4]龍毅,徐軍,薛良金,區(qū)域分解法結(jié)合FFT分析TEM傳輸線,電子科技大學學報,2000,29(5),504-507.[5]Zhenhai Zhu, Hao Ji, Wei Hong, An efficient algorithm for the parameter extraction of 3-D interconnect structures in the VLSI circuits: domain-decomposition method, IEEE Trans. on AP, 1997, 45(8), 1179-1183.[6]C.T. Spring, A. C. Cangellaris, Parallel implementation of domain decomposition methods for the electromagnetic analysis of guide wave systems, J. Electromagnetic Waves Application, 1995,9(1/2), 175-192.[7]龍毅,徐軍,朱漢清,一種求解規(guī)則區(qū)域Helmholtz方程的快速算法,電子科技大學學報,1999,28(4),383-387. -
計量
- 文章訪問數(shù): 2332
- HTML全文瀏覽量: 134
- PDF下載量: 527
- 被引次數(shù): 0
下載:
