To read this content please select one of the options below:

A hybrid Krylov-subspace-exponential and finite-difference time integration approach for multiscale electromagnetic simulations

Jiawei Wang (School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China)
Feng Chen (School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China)
Jinghui Shao (State Key Laboratory of Electrical Insulation and Power Equipment, Xi’an Jiaotong University, Xi’an, China)
Weichen Zhang (School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China)
Xikui Ma (School of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China)
242

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

Related articles