Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section - Archive ouverte HAL Access content directly
Journal Articles Advances in Applied Mechanics Year : 2012

Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section

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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.
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Dates and versions

hal-00875808 , version 1 (22-10-2013)
hal-00875808 , version 2 (21-11-2018)

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Sébastien Imperiale, Patrick Joly. Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Advances in Applied Mechanics, 2012, xx, ⟨10.4208/aamm.12-12S06⟩. ⟨hal-00875808v2⟩
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