电磁场积分方程时间步进解法稳定性的研究

The Stability of Marching-on-in-Time Method for EM Integral Equations

本文对用三角片状单元剖分及做相应的矢量基函数展开,采用空间域的Galerkin矩量法,时间域采用步进递推方法解电磁场时空积分方程并进行了程序实现.研究了这种方法的优缺点,分析了计算中出现的振荡发散现象,与细线栅网结构剖分方法进行了比较,从中得到关于时空积分方程时间步进解法稳定性的一些结论.

In this paper, an algorithm for solving the space-time integral equations with marching-on-in-time method is formulated. In space domain, the object surface is discretized into triangular patches. the surface current distribution is expanded in a vector function system corresponding to the discretization scheme, and the equation is solved by Galerkm Method of moment (MoM); meanwhile, in time domain, the expanding coefficients are obtained through a marching-on scheme. The advantages and disadvantages of this discretization scheme are studied. In a view point of comparison with the thin wire discretization scheme, the oscillatory instabilities in the late time of the computation results are analyzed. Finally, some conclusions about the instability of the marching-on-in-time method of EM field space-time integral equations are presented.