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 - <p style="text-align: justify;">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 &quot;exact&quot; solution of the full 3D model and the
&quot;approximate&quot; solution of the 1D model known as the Telegraphist&#39;s equation.</p>