SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Locally implicit discontinuous Galerkin method for time domain electromagnetics
Journal of Computational Physics
Modeling of electromagnetic waves in media with dirac distribution of electric properties
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Introduction and study of fourth order theta schemes for linear wave equations
Journal of Computational and Applied Mathematics
Hi-index | 31.46 |
An improved version of the stable FEM-FDTD hybrid method [T. Rylander and A. Bondeson, Comput. Phys. Commun. 125, 75 (2000)] for Maxwell's equations is presented. The new formulation has a modified time-stepping scheme and is rigorously proven to be stable for time steps up to the stability limit for the FDTD. The new scheme gives less reflection at the boundary between the structured and unstructured grids than the original formulation. The hybrid method is compared to the FDTD, with staircasing for scattering from a conducting sphere. The discretization errors of the hybrid show quadratic dependence on mesh size, while the scaling is less clear for the FDTD. The FDTD gives errors that are 5-60 times higher than that of the hybrid, depending on resolution and staircasing strategy.