Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891722 | Computers & Mathematics with Applications | 2018 | 19 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yunqing Huang, Meng Chen, Jichun Li, Yanping Lin,