一种任意比例LTS技术在DG-FETD中的应用  

Application of local time stepping strategy with arbitrary ratio for the discontinuous Galerkin FETD method

作　　者：李敏[1,2] 沈微微[2] 叶晓东 杨逸婷[3] 

机构地区：[1]宿迁学院信息工程学院,江苏宿迁223800 [2]南京邮电大学电子与光学工程学院,南京210033 [3]南京理工大学电子工程与光电技术学院,南京210094

出　　处：《重庆邮电大学学报（自然科学版）》2017年第6期739-743,共5页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：宿迁市社会发展(指令性)项目(S201410)~~

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。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.

关 键 词：不连续伽辽金 多尺度 局部时间步长 

分 类 号：TN925[电子电信—通信与信息系统]