Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method
Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method
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DOI：
10.1109/tap.2004.835143
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发表时间：
2004-11
影响因子：
5.7
通讯作者：
Wei-Bing Lu;T. Cui;Zhi-Guo Qian;Xiaoxing Yin;W. Hong
中科院分区：
文献类型：
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作者：
Wei-Bing Lu;T. Cui;Zhi-Guo Qian;Xiaoxing Yin;W. Hong
提出了一种高效的子全域（SED）基函数方法，用于精确分析有限尺寸的大规模周期性结构。SED基函数是在周期性结构的每个单胞的支撑域上定义的。在相对于一个观测胞引入虚拟胞之后，通过求解一个小规模问题可精确捕捉SED基函数的实际物理特性。进一步的分析表明，周期性结构中使用的各种SED基函数都可以通过求解一个单一的小问题得到。因此，原本涉及\(N = N_{0}M\)个未知量的大规模问题被分解为两个小规模问题，其中一个包含\(9M\)个未知量，另一个仅包含\(N_{0}\)个未知量。这里，\(N_{0}\)是周期性结构中的总胞数，\(M\)是每个单元胞中的子域基函数的数量。给出了几个例子来测试所提方法的有效性和高效性。新方法的数值结果与传统矩量法的结果非常吻合。然而，CPU时间大大减少了。
An efficient sub-entire-domain (SED) basis function method has been proposed to analyze large-scale periodic structures with finite sizes accurately. The SED basis function is defined on the support of each single cell of the periodic structure. After introducing dummy cells with respect to an observation cell, the real physics of SED basis function is captured accurately by solving a small-size problem. Further analysis has shown that all kinds of SED basis functions used in the periodic structure can be obtained by solving a single small problem. Hence, the original large-scale problem involving N=N/sub 0/M unknowns is decomposed into two small-size problems, one of which contains 9M unknowns and the other of which contains only N/sub 0/ unknowns. Here, N/sub 0/ is the total cell number in the periodic structure and M is the number of subdomain basis functions in each unit cell. Several examples are given to test the validity and efficiency of the proposed method. Numerical results from the new method have excellent agreements with those from the conventional method of moments. However, the CPU time has been greatly reduced.