Title
Finite-element time-domain algorithms for modeling linear Debye and Lorentz dielectric dispersions at low frequencies.
Abstract
We present what we believe to be the first algorithms that use a simple scalar-potential formulation to model linear Debye and Lorentz dielectric dispersions at low frequencies in the context of finite-element time-domain (FETD) numerical solutions of electric potential. The new algorithms, which permit treatment of multiple-pole dielectric relaxations, are based on the auxiliary differential equation method and are unconditionally stable. We validate the algorithms by comparison with the results of a previously reported method based on the Fourier transform. The new algorithms should be useful in calculating the transient response of biological materials subject to impulsive excitation. Potential applications include FETD modeling of electromyography, functional electrical stimulation, defibrillation, and effects of lightning and impulsive electric shock.
Year
DOI
Venue
2003
10.1109/TBME.2003.816083
IEEE transactions on bio-medical engineering
Keywords
Field
DocType
auxiliary differential equation method,electrodiagnostics,lightning effects,neuromuscular stimulation,impulsive electric shock,functional electrical stimulation,lightning,physiological models,biological materials transient response,simple scalar-potential formulation,finite element analysis,defibrillation,electromyography,emg,electric shocks,transient analysis,multiple-pole dielectric relaxations
Transient response,Differential equation,Dielectric,Debye,Computer science,Algorithm,Finite element method,Electronic engineering,Electric potential,Fourier transform,Lorentz transformation
Journal
Volume
Issue
ISSN
50
9
0018-9294
Citations 
PageRank 
References 
4
0.91
1
Authors
4
Name
Order
Citations
PageRank
Nikolay Stoykov15311.74
Todd A Kuiken28515.61
madeleine m lowery312026.79
A. Taflove45015.18