基于重叠型区域分解的时域积分方程法

时域平面波算法可以降低时域积分方程的计算复杂度以及内存消耗,但是时域积分方程的阻抗矩阵的近场部分元素无法减少，内存消耗依然很大。提出了利用重叠型区域分解法降低时域积分方程的内存需求,通过采取划分子区域，利用特征基函数法降低阻抗矩阵规模的方法，降低了内存消耗。数值算例验证了重叠型区域分解法结合时域积分方程能有效地用于瞬态电磁散射问题的分析。

Time domain integral equation method based on overlapped domain decomposition

The plane wave time domain algorithm can reduce the computational complexity and memory requirement of the time domain integral equation (TDIE), but the memory requirement of the near field part of the impedance matrix is still large. An overlapped domain decomposition method (ODDM) is used to reduce the memory requirement of TDIE, and expenditure on memory capacity is reduced through dividing the object into several sub-domains and reducing the scale of the impedance matrix by using a characteristic basis function method. The numerical results demonstrate that this hybrid technique is suitable for the transient analysis of electromagnetic scattering problems.