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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1100-1107 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Biomedical Engineering |
| Volume | 50 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 1 2003 |
Funding
Manuscript received November 1, 2002; revised January 30, 2003. This work was supported in part by a grant from the Institute for Bioengineering and Nanoscience in Advanced Medicine (IBNAM) of Northwestern University, and by the National Institute of Disability and Rehabilitation Research under Grant H133G990074-00. Asterisk indicates corresponding author. *N. S. Stoykov is with the Rehabilitation Institute of Chicago, IL 60611 USA, and with the Department of Physical Medicine and Rehabilitation, Northwestern University, Chicago, IL 60611 USA (e-mail: [email protected]).
Keywords
- Finite element methods
- Transient analysis
ASJC Scopus subject areas
- Biomedical Engineering