A new implicit hybridizable discontinuous Galerkin time-domain method for solving the 3-D electromagnetic problems

作者：Li, Xing; Xu, Li^*; Wang, Hao; Yang, Zhong-Hai; Li, Bin

来源：Applied Mathematics Letters, 2019, 93: 124-130.

DOI：10.1016/j.aml.2019.02.004

• Time-domain
• Maxwell's equations
• Discontinuous Galerkin time-domain method
• Implicit time scheme
• Locally refined meshes

Based on an implicit time scheme, this paper presents a new implicit hybridizable discontinuous Galerkin time-domain (imHDGTD) method for solving the 3-D electromagnetic problems with locally refined meshes. Compared with the classical discontinuous Galerkin (DG) method, the proposed imHDGTD method has a larger suitable time step and the reduction in number of degrees of freedom (DOFs). Besides, we adopt the nodal hierarchical basis functions and further propose a matrix solving technology with an effective p-type multigrid preconditioner, which decreases significantly imHDGTD's matrix factorization time and memory usage. Some numerical results show the accuracy and a higher computational performance of the imHDGTD, which illustrates this method more promising and effective for the complex multiscale electromagnetic problem.

• 单位
  电子科技大学