Abstract: An effective vector finite element method (FEM) for analysis of 3D radiation problem is proposed. This method combines the perfect matching layer (PML) and mixed order hierarchical vector base functions in which different order base functions are adopted in different regions according to the intensity of field distribution in the whole calculating domain. Without loss of accuracy, the efficiency of FEM+PML method can be increased greatly by the reduction of the number of unknowns and computational time compared with a pure higher order method. Correctness and effectiveness of the proposed method are demonstrated through numerical experiments.

Key words: hierarchical order, electromagnetic radiation, finite element method, perfect matching layer

摘要： 提出了一种用于3-D电磁辐射特性分析的快速有限元方法。该方法将混合阶矢量基函数与有限元完全匹配层方法相结合，将场矢量分布稀疏的完全匹配层区域采用混合阶矢量基函数的低阶部分，将场矢量变化剧烈的天线体附近区域采用混合阶矢量基函数的高阶部分，从而在保证计算精度的前提下，实现大量减少单纯使用高阶矢量有限元完全匹配层方法的矩阵方程维数和计算时间，提高计算效率的目的。数值算例验证了该方法的正确性和有效性。

关键词: 混合阶矢量基, 电磁辐射, 有限元, 完全匹配层