Error estimates for 1D asymptotic models in coaxial cableswithnon-homogeneous cross-section

Sébastien Imperiale; Patrick Joly

doi:10.4208/aamm.12-12S06

Error estimates for 1D asymptotic models in coaxial cableswithnon-homogeneous cross-section

Columbia University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	647-664
Nombre de pages	18
journal	Advances in Applied Mathematics and Mechanics
Volume	4
Numéro de publication	6
Les DOIs	https://doi.org/10.4208/aamm.12-12S06
état	Publié - 1 déc. 2012

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10.4208/aamm.12-12S06

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title = "Error estimates for 1D asymptotic models in coaxial cableswithnon-homogeneous cross-section",

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N2 - 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.

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.

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KW - Error estimates

KW - Non-homogeneous crosssection

KW - Telegraphist's equation

UR - https://www.scopus.com/pages/publications/84873318538

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DO - 10.4208/aamm.12-12S06

M3 - Article

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JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

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Error estimates for 1D asymptotic models in coaxial cableswithnon-homogeneous cross-section

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