介质目标瞬态散射分析的时域积分方程方法与并行计算

Analysis of Transient Scattering by Dielectric Objects Using Time Domain Integral Equation Methods with Parallel Computing

推导了用于分析三维均匀介质目标瞬态散射问题的时域积分方程方法公式,采用时域的PMCHW积分方程组,空间基函数和时间基函数分别为RWG矢量三角函数和二阶B样条函数,讨论了基于MPI的并行计算方法。数值例子表明,使用该方法可以获得稳定和精确的结果,与解析解和频域矩量法结果非常吻合。

A parallel approach for analysis of transient scattering by dielectric objects using time domain integral equation （TDIE） method is developed. It employs the time domain PMCHW integral equations with the RWG spatial basis functions and quadratic B-spline temporal basis functions. Parallel computation is implemented based on using the MPI communicator. Numerical examples show that the proposed scheme is stable and accurate. The results are found in good agreements with analytical or MoM solutions.