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Volume 4, Issue 6
Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section

Sébastien Imperiale & Patrick Joly

Adv. Appl. Math. Mech., 4 (2012), pp. 647-664.

Published online: 2012-12

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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.

  • AMS Subject Headings

35L05, 35A35, 73R05, 35A40

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COPYRIGHT: © Global Science Press

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@Article{AAMM-4-647, author = {Imperiale , Sébastien and Joly , Patrick}, title = {Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {6}, pages = {647--664}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-12S06}, url = {http://global-sci.org/intro/article_detail/aamm/141.html} }
TY - JOUR T1 - Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section AU - Imperiale , Sébastien AU - Joly , Patrick JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 647 EP - 664 PY - 2012 DA - 2012/12 SN - 4 DO - http://doi.org/10.4208/aamm.12-12S06 UR - https://global-sci.org/intro/article_detail/aamm/141.html KW - Coaxial cables, Telegraphist's equation, error estimates, non-homogeneous cross-section. 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.

Sébastien Imperiale & Patrick Joly. (1970). Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section. Advances in Applied Mathematics and Mechanics. 4 (6). 647-664. doi:10.4208/aamm.12-12S06
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