A Domain Decomposition Method for Hybrid Shell Vector Element with Boundary Integral Method

A Domain Decomposition Method for Hybrid Shell Vector Element with Boundary Integral Method
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混合壳向量元的边界积分域分解方法

DOI:
10.1155/2012/790164
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发表时间:
2012-09
影响因子:
1.5
通讯作者:
Hu, Hao-Quan
Hu, Hao-Quan
中科院分区:
计算机科学4区
文献类型:
--
作者:
Lei, Lin;Hu, Jun;Hu, Hao-Quan

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对于涂覆有薄层材料的导电体,通常需要大量的细网孔。本文采用壳矢量元(SVE)对薄涂层介质进行了数值模拟。在此基础上,提出了一种混合壳矢量元边界积分(SVE-BI)的区域分解(DD)方法,用于分析多个三维薄涂层目标的电磁问题。该方法将整个计算域划分为子SVE域和边界元域。采用壳单元,不仅所需的未知量远小于传统的矢量单元法,而且只需进行曲面积分。用于混合SVE-BI的DDM框架也大大提高了求解多涂层目标散射的计算效率。最后通过数值算例验证了该方法的有效性和精度。
For the conducting body coated with thin-layer material, plenty of fine meshes are required in general. In this paper, shell vector element (SVE) is used for modeling of thin coating dielectric. Further, a domain decomposition (DD) method for hybrid shell vector element method boundary integral (SVE-BI) is proposed for analysis of electromagnetic problem of multiple three-dimensional thin-coating objects. By this method, the whole computational domains are divided into sub-SVE domains and boundary element domains. With shell element, not only the unknowns are far less than the one by traditional vector element method, but only surface integral is required. The DDM framework used for hybrid SVE-BI also enhances the computational efficiency of solving scattering from multiple coating objects greatly. Finally, several numerical examples are presented to prove the accuracy and efficiency of this DDM-SVE-BI method.
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