时域磁场积分方程时间步进算法后时稳定性研究

Stability of Time-Domain Magnetic Field Integral Equations Based Marching On-In Time Algorithm

从理论上推导得到时域磁场积分方程时间步进算法感应电流后时稳定的充分必要条件,该条件可以有效地判断时域磁场积分方程时间步进算法的后时稳定性。基于时域磁场积分方程时间步进算法及稳定性条件提出了一种改进算法,该算法可以保证感应电流后时稳定。通过数值算例验证了推导的时域磁场积分方程时间步进算法后时稳定条件的正确性,改进算法比原算法有更好的计算精度。

The necessary and sufficient condition of late-time stability of time-domain magnetic field integral equations （TDMFIE） based marching on-in time （MOT） algorithm is obtained through theoretical derivation. Using the condition, the late-time stability of TDMFIE-MOT algorithm can be estimated accurately. Based on the condition, an improved algorithm is proposed to ensure that the transient currents are stable in the late-time. The stability condition is validated by numerical results. It is also validated that the improved algorithm is more accurate than TDMFIE-MOT algorithm.