时域间断元方法是近年来电磁场计算领域的重要进展之一。将基函数的插值点和数值积分点重合的质量集中技术是降低该间断元方法质量矩阵存储开销和提高计算效率的重要手段。通过谐振腔、带通滤波器以及光子晶体内的电磁场等数值算例, 在四边形网格上比较了传统的质量集中算法和近来提出的 Weight-Adjust 算法之间的差异。计算结果表明, 尽管两种方法的存储量一样, 但Weight-Adjust 算法具有更高的精度。

This paper is concerned with the comparison of two spectral Discontinuous Galerkin Time-Domain (DGTD) methods for the solution of Maxwell’s equations in two-dimensional space. The first scheme is based on the conventional mass-lumping technique, where the same set of points are chosen for both the interpolation base functions and the numerical integration of coefficients. The second scheme is a newly proposed approach, called the Weight-Adjusted discontinuous Galerkin (WADG) method. Several numerical examples are presented to evaluate the performance of the two methods. It is shown that although the two methods need the same storage capacity, the WADG method has higher accuracy.