Finite-difference time-domain methods

FL Teixeira, C Sarris, Y Zhang, DY Na… - Nature Reviews …, 2023 - nature.com
The finite-difference time-domain (FDTD) method is a widespread numerical tool for full-
wave analysis of electromagnetic fields in complex media and for detailed geometries …

Recent developments of the meshless radial point interpolation method for time‐domain electromagnetics

T Kaufmann, Y Yu, C Engström, Z Chen… - … Journal of Numerical …, 2012 - Wiley Online Library
Meshless methods are a promising new field in computational electromagnetics. Instead of
relying on an explicit mesh topology, a numerical solution is computed on an unstructured …

An explicit and unconditionally stable FDTD method for electromagnetic analysis

M Gaffar, D Jiao - IEEE Transactions on Microwave Theory and …, 2014 - ieeexplore.ieee.org
In this paper, an explicit and unconditionally stable finite-difference time-domain (FDTD)
method is developed for electromagnetic analysis. Its time step is not restricted by the space …

Explicit time-domain finite-element method stabilized for an arbitrarily large time step

Q He, H Gan, D Jiao - IEEE Transactions on Antennas and …, 2012 - ieeexplore.ieee.org
The root cause of the instability is quantitatively identified for the explicit time-domain finite-
element method that employs a time step beyond that allowed by the stability criterion. With …

A spatially filtered finite-difference time-domain scheme with controllable stability beyond the CFL limit: Theory and applications

C Chang, CD Sarris - IEEE Transactions on Microwave Theory …, 2012 - ieeexplore.ieee.org
A 3-D finite-difference time-domain (FDTD) scheme with controllable stability beyond the
stability limit of FDTD is presented. The key to controlling the FDTD stability limit is a spatial …

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 …

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 …