Fast explicit and unconditionally stable FDTD method for electromagnetic analysis

J Yan, D Jiao - IEEE Transactions on Microwave Theory and …, 2017 - ieeexplore.ieee.org
In this paper, a fast explicit and unconditionally stable finite-difference time-domain (FDTD)
method is developed, which does not require a partial solution of a global eigenvalue …

A new unconditionally stable scheme for FDTD method using associated Hermite orthogonal functions

ZY Huang, LH Shi, B Chen… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
An unconditionally stable solution using associated Hermite (AH) functions is proposed for
the finite-difference time-domain (FDTD) method. The electromagnetic fields and their time …

Alternative method for making explicit FDTD unconditionally stable

M Gaffar, D Jiao - IEEE Transactions on Microwave Theory and …, 2015 - ieeexplore.ieee.org
An alternative method is developed to make an explicit FDTD unconditionally stable. In this
method, given any time step, we find the modes that cannot be stably simulated by the given …

Subgridded FDTD modeling of ground penetrating radar scenarios beyond the courant stability limit

XK Wei, X Zhang, N Diamanti, W Shao… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper presents an efficient 3-D finite-difference time-domain (FDTD) subgridding
scheme that is free of the Courant-Friedrichs-Lewy stability condition, for the modeling of …

Removing the stability limit of the time-space domain explicit finite-difference schemes for acoustic modeling with stability condition-based spatial operators

Y Liu - Geophysics, 2022 - library.seg.org
The time step and grid spacing in explicit finite-difference (FD) modeling are constrained by
the Courant-Friedrichs-Lewy (CFL) condition. Recently, it has been found that the spatial FD …

Extending the stability limit of explicit scheme with spatial filtering for solving wave equations

Y Gao, J Zhang, Z Yao - Journal of Computational Physics, 2019 - Elsevier
The explicit finite-difference scheme is widely used for solving the wave equation; however,
its time step is strictly constrained by the Courant-Friedrichs-Lewy (CFL) stability limit. We …

On the effect of grid orthogonalization in stability and accuracy of an FDTD subgridding method

AM Valverde, MR Cabello, CC Sánchez… - … on Antennas and …, 2022 - ieeexplore.ieee.org
We present a general-purpose subgridding (SG) inspired on a simplified orthogonalized
integral (OI)-based method, leading to a simple and efficient algorithm with strong stability. It …

A new hybrid implicit–explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems

A Van Londersele, D De Zutter… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The conventional finite-difference time-domain (FDTD) method with staggered Yee scheme
does not easily allow including thin material layers, especially so if these layers are highly …

A method to model thin conductive layers in the finite-difference time-domain method

V Nayyeri, M Soleimani… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
This paper presents a new approach for modeling of electrically thin conductive shields in
the finite-difference time-domain (FDTD) method. The method is based on representation of …

Application of spatial filtering high order FDTD method in the multi-physics field coupled equations

G Xie, P Pan, N Feng, K Xu, M Fang, X Wu, Y Li… - Computer Physics …, 2024 - Elsevier
The traditional finite-difference time-domain method (FDTD (2, 2)) is widely employed to
solve the coupled equations of quantum-electromagnetic multi-physics. However, the time …