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使用有限元-完全匹配层-宏元算法分析三维电磁辐射问题
Analysis of 3D radiation problems using FEM+PML macro-element method
【摘要】 提出一种将宏元技术引入到矢量有限元完全匹配层算法的方法,用于3-D电磁辐射特性的分析。通过把整个计算区域划分为宏元和非宏元区域,将非宏元区域内的计算信息变换到宏元区域的表面,在需要反复优化宏元区域参数的应用中,实现大量减少原有问题的有限元矩阵方程维数和求解时间,提高整体计算效率的目的。以典型天线为例,验证了该方法在提高计算效率方面的有效性。
【Abstract】 This paper presents a macro-element(ME) enhanced vector finite element method(FEM) with the perfect matching layer(PML) as boundary truncation for analyzing 3D radiation problems.By dividing the whole calculating domain into a ME sub-domain and a non-ME sub-domain and transferring the information of the non-ME part onto the surface of the ME sub-domain,the final solution domain focuses on the ME sub-domain.That reduces the matrix dimension by a large scale and accelerates the calculation efficiency greatly.This methods is very suitable for the cases that the ME sub-domain needs optimizing repeatedly for varying geometrical structures or electromagnetic parameters.Numerical implementation and effectiveness of the proposed method are demonstrated through several numerical experiments of typical antennas.
【Key words】 electromagnetic radiation; finite element method; perfect matching layer; macro element method;
- 【文献出处】 电波科学学报 ,Chinese Journal of Radio Science , 编辑部邮箱 ,2007年05期
- 【分类号】O441
- 【被引频次】2
- 【下载频次】161