Error estimates for 1D asymptotic models in coaxial cableswithnon-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.

Original languageEnglish
Pages (from-to)647-664
Number of pages18
JournalAdvances in Applied Mathematics and Mechanics
Volume4
Issue number6
DOIs
Publication statusPublished - 1 Dec 2012

Keywords

  • Coaxial cables
  • Error estimates
  • Non-homogeneous crosssection
  • Telegraphist's equation

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