Journal
PROCEEDINGS OF THE IEEE
Volume 101, Issue 2, Pages 242-254Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JPROC.2012.2219031
Keywords
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
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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.
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