{"title":"非均匀截面同轴电缆一维渐近模型误差估计","authors":"S. Imperiale, P. Joly","doi":"10.4208/AAMM.12-12S06","DOIUrl":null,"url":null,"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.","PeriodicalId":56331,"journal":{"name":"Advances in Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section\",\"authors\":\"S. Imperiale, P. Joly\",\"doi\":\"10.4208/AAMM.12-12S06\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":56331,\"journal\":{\"name\":\"Advances in Applied Mechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.4208/AAMM.12-12S06\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.4208/AAMM.12-12S06","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Engineering","Score":null,"Total":0}
Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section
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.
期刊介绍：
Advances in Applied Mechanics draws together recent significant advances in all areas of applied mechanics. Published since 1948, it aims to provide the highest quality, authoritative review articles on topics in the mechanical sciences. It is of primary interest to scientists and engineers working in the various branches of mechanics and is also valuable to those who apply the results of investigations in mechanics to areas such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering.
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