A boundary integral equation domain decomposition method for electromagnetic scattering from large and deep cavities
A boundary integral equation domain decomposition method for electromagnetic scattering from large and deep cavities
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DOI：
10.1016/j.jcp.2014.10.010
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Z. Peng;Kheng-Hwee Lim;Jin-Fa Lee
中科院分区：
文献类型：
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作者：
Z. Peng;Kheng-Hwee Lim;Jin-Fa Lee
工程界对嵌入任意形状主体中的大而深的空腔进行电磁散射分析非常感兴趣。这项工作的目的是研究一种有效的边界积分方程域分解方法来解决腔散射问题。该工作的主要特点包括：（i）引入单独的电迹和磁迹作为每个子区域的未知数，（ii）开发用于分解边值问题的多迹组合场积分方程公式，以及（iii）使用完整的二阶传输条件推导优化的乘法施瓦茨预处理。所提出的方法可以被视为基于积分方程解决腔散射问题的有效预处理方案。该方法的优点和灵活性将通过几个有代表性的数值例子来说明。
Electromagnetic scattering analysis of large and deep cavities embedded in an arbitrarily shaped host body is of high interest to the engineering community. The objective of this work is to investigate an effective boundary integral equation domain decomposition method for solving the cavity scattering problems. The key features of the proposed work include: (i) the introduction of individual electric and magnetic traces as unknowns for each sub-region, (ii) the development of a multi-trace combined field integral equation formulation for decomposed boundary value problem, and (iii) the derivation of optimized multiplicative Schwarz preconditioning using complete second order transmission condition. The proposed method can be viewed as an effective preconditioning scheme for the integral equation based solution of the cavity scattering problems. The strength and flexibility of the proposed method will be illustrated by means of several representative numerical examples.