@Article{AAMM-4-647,
author = {Imperiale , Sébastien and Joly , Patrick},
title = {Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {6},
pages = {647--664},
abstract = {
This paper is the first contribution towards the rigorous
justification of asymptotic 1D models for the
time-domain simulation of the propagation of electromagnetic
waves in coaxial cables. Our general objective is to derive error
estimates between the "exact" solution of the full 3D model and the
"approximate" solution of the 1D model known as the Telegraphist's equation.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-12S06},
url = {http://global-sci.org/intro/article_detail/aamm/141.html}
}
TY - JOUR
T1 - Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section
AU - Imperiale , Sébastien
AU - Joly , Patrick
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 647
EP - 664
PY - 2012
DA - 2012/12
SN - 4
DO - http://doi.org/10.4208/aamm.12-12S06
UR - https://global-sci.org/intro/article_detail/aamm/141.html
KW - Coaxial cables, Telegraphist's equation, error estimates, non-homogeneous cross-section.
AB -
This paper is the first contribution towards the rigorous
justification of asymptotic 1D models for the
time-domain simulation of the propagation of electromagnetic
waves in coaxial cables. Our general objective is to derive error
estimates between the "exact" solution of the full 3D model and the
"approximate" solution of the 1D model known as the Telegraphist's equation.
Imperiale , Sébastien and Joly , Patrick. (2012). Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section.
Advances in Applied Mathematics and Mechanics. 4 (6).
647-664.
doi:10.4208/aamm.12-12S06
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