时域磁场积分方程时间步进算法稳定性研究

Investigation of the stability of time-domain magnetic field integral equations based on marching on-in time algorithm

从时域磁场积分方程时间步进算法出发,结合范数概念,从理论上推导得到了感应电流稳定的充分条件.满足该条件,可以保证任何形式的入射波入射时,计算结果都后时稳定.同时通过推导得到了表征感应电流递推关系的因子,该因子的大小可以表征感应电流收敛性的相对好坏.最后通过数值算例验证了感应电流稳定的充分条件,以及利用本文推导的感应电流递推因子表征感应电流后时稳定性的准确性.

A sufficient stability condition for time-domain magnetic field integral equations （TDMFIE） based on marching on-in time （MOT） algorithm is obtained through theoretical derivation using the norm. If the condition is satisfied, it can be ensured that the computational results will always be stable in late-time no matter what kind of incident wave is. Moreover, a factor expressing the recursive relationship of the currents is obtained, which can represent the constringency of the currents. Finally, the sufficient stability condition is validated by numerical results. Meanwhile, the numerical results also verify that the factor can be used to represent the stability of the currents.