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Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section

Published online by Cambridge University Press:  03 June 2015

Sébastien Imperiale  and
Patrick Joly
Sébastien Imperiale*
Affiliation:
Department of Applied Physics and Applied Mathematics, Columbia University, NY 10027, USA INRIA Rocquencourt, POems, domaine de Voluceau, 78153 Le Chesnay, France
Patrick Joly*
Affiliation:
INRIA Rocquencourt, POems, domaine de Voluceau, 78153 Le Chesnay, France
*
Email: si2245@columbia.edu
Corresponding author. Email: patrick.joly@inria.fr
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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.

Keywords

35L0535A3573R0535A40Coaxial cablesTelegraphist’s equationerror estimatesnon-homogeneous cross-section
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 6 , December 2012 , pp. 647 - 664
Copyright
Copyright © Global-Science Press 2012

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