Close Search Advanced
Journals
Resources
About Us
Open Access

Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section

Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section
Preview
Add to basket

Year:    2012

Author:    Sébastien Imperiale, Patrick Joly

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 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.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.12-12S06

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 6 : pp. 647–664

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Coaxial cables Telegraphist's equation error estimates non-homogeneous cross-section.

Author Details

Sébastien Imperiale

Patrick Joly

  1. Stabilization and asymptotic behavior of a generalized telegraph equation

    Nicaise, Serge

    Zeitschrift für angewandte Mathematik und Physik, Vol. 66 (2015), Iss. 6 P.3221

    https://doi.org/10.1007/s00033-015-0568-0 [Citations: 2]

  2. An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables

    Beni Hamad, Akram | Beck, Geoffrey | Imperiale, Sébastien | Joly, Patrick

    Computational Methods in Applied Mathematics, Vol. 22 (2022), Iss. 4 P.861

    https://doi.org/10.1515/cmam-2021-0195 [Citations: 3]

  3. Existence, Uniqueness and Stabilization of Solutions of a Generalized Telegraph Equation on Star Shaped Networks

    Hayek, Alaa | Nicaise, Serge | Salloum, Zaynab | Wehbe, Ali

    Acta Applicandae Mathematicae, Vol. 170 (2020), Iss. 1 P.823

    https://doi.org/10.1007/s10440-020-00360-8 [Citations: 1]

  4. Dynamic transmission conditions for linear hyperbolic systems on networks

    Kramar Fijavž, Marjeta | Mugnolo, Delio | Nicaise, Serge

    Journal of Evolution Equations, Vol. 21 (2021), Iss. 3 P.3639

    https://doi.org/10.1007/s00028-021-00715-0 [Citations: 4]

  5. Mathematical modelling of multi conductor cables

    Beck, Geoffrey | Imperiale, Sebastien | Joly, Patrick

    Discrete & Continuous Dynamical Systems - S, Vol. 8 (2015), Iss. 3 P.521

    https://doi.org/10.3934/dcdss.2015.8.521 [Citations: 5]

  6. Asymptotic modelling of Skin-effects in coaxial cables

    Beck, Geoffrey | Imperiale, Sébastien | Joly, Patrick

    SN Partial Differential Equations and Applications, Vol. 1 (2020), Iss. 6

    https://doi.org/10.1007/s42985-020-00043-x [Citations: 2]

  7. Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations

    Nicaise, Serge

    Mathematical Control and Related Fields, Vol. 13 (2023), Iss. 1 P.265

    https://doi.org/10.3934/mcrf.2021057 [Citations: 2]