分析波导问题的松弛迭代区域分解法
A relaxed iterative domain decomposition method for waveguide problems
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摘要: 针对基于Schwarz交替法的选代区域分解法,在分析波导问题时遇到的不收敛的困难,该文从实际场分布出发,在划分区域的虚拟边界上给出了连接子域的吸收虚拟边界条件,用以保证相邻子域间的波传播,从而构建了一种能够分析波导问题的收敛的迭代区域分解法。在此基础上进一步引入松弛算法,用于加快迭代收敛速度。数值计算结果表明了该方法的有效性。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.
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