基于矢量FEM-BEM方法的三维目标电磁散射矩阵特性分析

On the Property of Matrices from 3-D EM Scattering Problems with Hybrid Vector FEM-BEM Method

研究三维目标电磁散射分析的矢量有限元-边界元(FEM-BEM)方法。通过构造内视法求解有限元-边界元方程组时系统矩阵的等价形式,分析了不同混合公式系统矩阵的条件数情况。分析显示,不同公式的系统矩阵条件数有很大不同,从而导致混合方法不同公式的稳定性情况有明显差异。

The hybrid vector finite element method--boundary element method（FEM-BEM） for 3-D electromagnetic scattering is studied. By reconstructing an equivalent form for the finite element-boundary ele- ment system matrix when inward-looking approach is considered, the condition number of system matrix is estimated for different hybrid formulations. It is shown that the condition number of matrices varies great- ly with different formulations used, and therefore, the stability of the hybrid formulations varies correspondingly.