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
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

This paper is the first contribution towards the rigorous justification of asymptotic 1D models for the time-domain simulation of the propagation of elec- tromagnetic waves in coaxial cables. Our general objective is to derive error esti- mates between the "exact" solution of the full 3D model and the "approximate" solution of the 1D model known as the Telegraphist's equation.

Mots clés: Coaxial cables; Telegraphist's equation; Error estimates; Non-homogeneous cross-section

Domaines: Equations aux dérivées partielles [math.AP]

Sébastien Imperiale, Patrick Joly. Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Advances in Applied Mechanics, 2012, ⟨10.4208/aamm.12-12S06⟩. ⟨hal-00875808v1⟩