有限元中基于ID的快速扫角算法

Fast Algorithm for Angular Sweeping in FEM Based on Interpolative Decomposition

基于interpolative decomposition(ID)技术的有限元快速扫角算法,能有效地计算电目标的单站雷达散射截面(RCS).算法针对不同入射波对应的右端项(RHSs),构成一个激励矩阵.将ID技术应用到激励矩阵用来选取对应的Skeleton入射波的方向.在采用快速算法得到Skeleton入射波对应的解之后,所要求解的角响应可以通过Skeleton对应的解重构出来.对电目标的数值实验表明了该算法的效率和精度.

A fast angular sweeping algorithm based on interpolative decomposition was proposed for the finite element method（ FEM） to efficiently compute monostatic radar dispersion section（ RCS）. In the algorithm,an excitation matrix was constructed from multiple right-hand-sides（ RHSs） associated with different incidents. Then,interpolative decomposition（ ID） was applied to the excitation matrix to figure out the skeleton incidents. After the solutions corresponding to the skeleton incidents were obtained through FEM,the desired angular responses could be reconstructed from those of skeletons. The results of numerical experiments on isotropic and anisotropic dielectric targets show the efficiency and accuracy of the proposed algorithm.