{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,5]],"date-time":"2024-03-05T10:23:28Z","timestamp":1709634208433},"reference-count":25,"publisher":"Walter de Gruyter GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this work, we construct an efficient numerical method to solve 3D Maxwell\u2019s equations in coaxial cables.\nOur strategy is based upon a hybrid explicit-implicit time discretization combined with edge elements on prisms and numerical quadrature.\nOne of the objectives is to validate numerically generalized telegrapher\u2019s models that are used to simplify the 3D Maxwell equations into a 1D problem.\nThis is the object of the second part of the article.<\/jats:p>","DOI":"10.1515\/cmam-2021-0195","type":"journal-article","created":{"date-parts":[[2022,6,8]],"date-time":"2022-06-08T10:15:12Z","timestamp":1654683312000},"page":"861-888","source":"Crossref","is-referenced-by-count":3,"title":["An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables"],"prefix":"10.1515","volume":"22","author":[{"given":"Akram","family":"Beni Hamad","sequence":"first","affiliation":[{"name":"POEMS (UMR CNRS-INRIA-ENSTA Paris) , Institut Polytechnique de Paris , Paris , France ; and LAMMDA-ESST Hammam Sousse, Universit\u00e9 de Sousse, Tunisia"}]},{"given":"Geoffrey","family":"Beck","sequence":"additional","affiliation":[{"name":"Departement de Math\u00e9matiques et Applications , Ecole Normale Sup\u00e9rieure, CNRS , PSL University , Paris , France"}]},{"given":"S\u00e9bastien","family":"Imperiale","sequence":"additional","affiliation":[{"name":"M3DISIM (Inria, LMS, Ecole Polytechnique, CNRS) , Institut Polytechnique de Paris , Paris , France"}]},{"given":"Patrick","family":"Joly","sequence":"additional","affiliation":[{"name":"POEMS (UMR CNRS-INRIA-ENSTA Paris) , Institut Polytechnique de Paris , Paris , France"}]}],"member":"374","published-online":{"date-parts":[[2022,6,9]]},"reference":[{"key":"2023033113381490226_j_cmam-2021-0195_ref_001","doi-asserted-by":"crossref","unstructured":"M. Admane, M. Sorine and Q. Zhang,\nInverse scattering for soft fault diagnosis in electric transmission lines,\nIEEE Trans. Antennas Propagation 59 (2011), 141\u2013148.","DOI":"10.1109\/TAP.2010.2090462"},{"key":"2023033113381490226_j_cmam-2021-0195_ref_002","doi-asserted-by":"crossref","unstructured":"J. Albella Mart\u00ednez, S. Imperiale, P. Joly and J. Rodr\u00edguez,\nNumerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements,\nMath. Comp. 90 (2021), no. 330, 1589\u20131636.","DOI":"10.1090\/mcom\/3613"},{"key":"2023033113381490226_j_cmam-2021-0195_ref_003","doi-asserted-by":"crossref","unstructured":"F. Auzanneau,\nWire troubleshooting and diagnosis: Review and perspectives,\nProgr. Electromagnetics Res. B 49 (2013), Article ID 253279.","DOI":"10.2528\/PIERB13020115"},{"key":"2023033113381490226_j_cmam-2021-0195_ref_004","unstructured":"G. Beck,\nMod\u00e9lisation et \u00e9tude math\u00e9matique de r\u00e9seaux de c\u00e2bles \u00e9lectriques. Mod\u00e9lisation et simulation,\nPh.D. thesis, Universit\u00e9 Paris-Saclay, 2016."},{"key":"2023033113381490226_j_cmam-2021-0195_ref_005","unstructured":"G. Beck,\nComputer-implemented method for reconstructing the topology of a network of cables,\nUS patent \n                  \n                     \n                        \n                           n\n                           \u2218\n                        \n                     \n                     \n                     n^{\\circ}\n                  \n               : US20200363462A. 16\/638,451, 2020, 2017, https:\/\/patents.google.com\/patent\/US20200363462A1\/en."},{"key":"2023033113381490226_j_cmam-2021-0195_ref_006","doi-asserted-by":"crossref","unstructured":"G. Beck, S. Imperiale and P. Joly,\nMathematical modelling of multi conductor cables,\nDiscrete Contin. Dyn. Syst. Ser. 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