有限元-边界元法计算电磁响应

提出了用有限元-边界元法计算三维电磁场感应问题. 首先阐述了棱边单元法的基本性质, 并且根据基函数的几何平面特性推导出对于任意位置面的表面棱边单元法基本公式, 然后用棱边单元法离散数学模型. 用此方法模拟地下金属军事目标的电磁响应, 计算了目标的最低谐振频率及表面电流密度, 和单一目标的频率特性及位移特性, 计算结果和实验结果一致, 因此这种数值方法对计算三维电磁场问题行之有效.

Hybrid FEM-BEM for simulation of electromagnetic response

A finite element method with boundary element method (FEM-BEM) is presented for computing electromagnetic induction. The features of an edge element method including the volume and surface edge element method are investigated in depth. Surface basis functions of edge elements to an arbitrary shape of target are derived according to the geometrical property of basis functions and applied to discretize the surface integral equation for 3-D general targets. The proposed model is presented to compute resonant frequencies and surface current of underground unexplored ordnance (UXO), and then the electromagnetic responses of single target with different frequencies and positions of sensor are simulated and results are validated by experiments.