A hybrid Krylov-subspace-exponential and finite-difference time integration approach for multiscale electromagnetic simulations
ISSN: 0332-1649
Article publication date: 6 November 2017
Abstract
Purpose
This paper aims to present a novel hybrid time integration approach for efficient numerical simulations of multiscale problems involving interactions of electromagnetic fields with fine structures.
Design/methodology/approach
The entire computational domain is discretized with a coarse grid and a locally refined subgrid containing the tiny objects. On the coarse grid, the time integration of Maxwell’s equations is realized by the conventional finite-difference technique, while on the subgrid, the unconditionally stable Krylov-subspace-exponential method is adopted to breakthrough the Courant–Friedrichs–Lewy stability condition.
Findings
It is shown that in contrast with the conventional finite-difference time-domain method, the proposed approach significantly reduces the memory costs and computation time while providing comparative results.
Originality/value
An efficient hybrid time integration approach for numerical simulations of multiscale electromagnetic problems is presented.
Keywords
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant No. 51407139 and No. 51677140.
Citation
Wang, J., Chen, F., Shao, J., Zhang, W. and Ma, X. (2017), "A hybrid Krylov-subspace-exponential and finite-difference time integration approach for multiscale electromagnetic simulations", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 36 No. 6, pp. 1623-1641. https://doi.org/10.1108/COMPEL-12-2016-0555
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited