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

Sébastien Imperiale 1 Patrick Joly 2
1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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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Sébastien Imperiale, Patrick Joly. Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Advances in Applied Mechanics, New York ; London ; Paris [etc] : Academic Press, 2012, xx, ⟨10.4208/aamm.12-12S06⟩. ⟨hal-00875808v2⟩

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