Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 76, Issue 4, Pages 938-956Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.05.032
Keywords
Maxwell's equations; Alternating direction implicit method; FDTD method
Categories
Funding
- NSFC [91430213, 11671340]
- NSF [DMS-1416742]
- Hong Kong grant [HK GRF B-Q56D]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1416742] Funding Source: National Science Foundation
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Recently, a so-called one-step leapfrog ADI-FDTD method has been developed in engineering community for solving the 3D time-dependent Maxwell's equations. This method becomes quite popular in simulation wave propagation in graphene-based devices due to its efficiency. We investigate this method from a theoretical point of view by proving the energy conservation property, the unconditional stability of this ADI-FDTD method, and establishing the optimal second-order convergence rate in both time and space on non-uniform cubic grids. Numerical results are presented justifying our analysis. (C) 2018 Elsevier Ltd. All rights reserved.
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