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

作　　者：年丰[1] 董硕[1] 周乐柱[1] 夏明耀[1] 

机构地区：[1]北京大学信息科学技术学院,北京100871

出　　处：《电波科学学报》2007年第5期717-721,734,共6页Chinese Journal of Radio Science

基　　金：国家自然科学基金资助项目(60271002)

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。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.

关 键 词：电磁辐射 有限元 完全匹配层 宏元 

分 类 号：O441.4[理学—电磁学]