【摘要】 不连续伽辽金时域有限元法(discontinuous Galerkin-finite element time domain,DG-FETD)便于处理多尺度电磁问题,但是由于精细结构或高介电参数媒质的存在,考虑到稳定性条件,整体时间步长的选取会受到最小剖分尺寸的影响,导致计算效率降低。针对该问题,在传统局部时间步长(local time stepping,LTS)技术的基础上提出一种基于蛙跳格式的任意比例LTS技术,该方法在求解多尺度问题时,减少了迭代所需时间,提高了不同时间步长选取的灵活性,同时随着未知量增加,其优势更加明显,结合数值算例,验证了该方法的正确性和有效性。更多还原

【Abstract】 The discontinuous Galerkin-finite element time domain(DG-FETD) method has the ability to deal with the multiscale problems.The size of time step is limited by the smallest spatial discretization of the simulation domain according to the stability condition when fine structures or high permittivity media occur.To handle this kind of problem,the local timestepping technique with arbitrary ratio is proposed in the paper,which makes the selection of time step size more flexible and reduces the time of iteration.Numerical results demonstrate the correctness and efficiency of the proposed method.更多还原