Discontinuous Galerkin Time-Domain Methods for Multiscale Electromagnetic Simulations: A Review

作者：Chen Jiefu^*; Liu Qing Huo

来源：Proceedings of the IEEE, 2013, 101(2): 242-254.

DOI：10.1109/JPROC.2012.2219031

• Discontinuous Galerkin time-domain (DGTD) method
• domain decomposition method (DDM)
• finite-difference time-domain (FDTD) method
• finite-element time-domain (FETD) method
• multiscale analysis
• pseudospectral time-domain (PSTD) method
• time-domain electromagnetic simulation

Efficient multiscale electromagnetic simulations require several major challenges that need to be addressed, such as flexible and robust geometric modeling schemes, efficient and stable time-stepping methods, etc. Due to the versatile choices of spatial discretization and temporal integration, discontinuous Galerkin time-domain (DGTD) methods can be very promising in simulating transient multiscale problems. This paper provides a comprehensive review of different DGTD schemes, highlighting the fundamental issues arising in each step of constructing a DGTD system. The issues discussed include the selection of governing equations for transient electromagnetic analysis, different basis functions for spatial discretization, as well as the implementation of different time-stepping schemes. Numerical examples demonstrate the advantages of DGTD for multiscale electromagnetic simulations.

• 出版日期2013-2