{"title":"电磁学中几种时域有限元公式的比较","authors":"N. Marais, D. Davidson","doi":"10.1109/ICEAA.2007.4387428","DOIUrl":null,"url":null,"abstract":"This paper compares three full-wave finite element time domain (FETD) formulations. The first is based on the vector wave equation; the others on Maxwell's equations, viz. the EBHD formulation that discretises Eoarr, Boarr, Hoarr and Doarr and the EB formulation that discretises only Eoarr and Boarr. The latter two formulations use a combination of 1-form and 2-form discretisation to avoid an auxiliary mesh. A method for making the EBHD formulation operational is presented and conditions for finite difference time domain (FDTD)-like explicit operation are discussed. Numerical results for a three dimensional cavity and a coaxial transmission line show that the EBHD formulation has serious performance limitations.","PeriodicalId":273595,"journal":{"name":"2007 International Conference on Electromagnetics in Advanced Applications","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Comparison of Some Finite Element Time Domain Formulations in Electromagnetics\",\"authors\":\"N. Marais, D. Davidson\",\"doi\":\"10.1109/ICEAA.2007.4387428\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper compares three full-wave finite element time domain (FETD) formulations. The first is based on the vector wave equation; the others on Maxwell's equations, viz. the EBHD formulation that discretises Eoarr, Boarr, Hoarr and Doarr and the EB formulation that discretises only Eoarr and Boarr. The latter two formulations use a combination of 1-form and 2-form discretisation to avoid an auxiliary mesh. A method for making the EBHD formulation operational is presented and conditions for finite difference time domain (FDTD)-like explicit operation are discussed. Numerical results for a three dimensional cavity and a coaxial transmission line show that the EBHD formulation has serious performance limitations.\",\"PeriodicalId\":273595,\"journal\":{\"name\":\"2007 International Conference on Electromagnetics in Advanced Applications\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-11-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 International Conference on Electromagnetics in Advanced Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEAA.2007.4387428\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 International Conference on Electromagnetics in Advanced Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEAA.2007.4387428","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Comparison of Some Finite Element Time Domain Formulations in Electromagnetics
This paper compares three full-wave finite element time domain (FETD) formulations. The first is based on the vector wave equation; the others on Maxwell's equations, viz. the EBHD formulation that discretises Eoarr, Boarr, Hoarr and Doarr and the EB formulation that discretises only Eoarr and Boarr. The latter two formulations use a combination of 1-form and 2-form discretisation to avoid an auxiliary mesh. A method for making the EBHD formulation operational is presented and conditions for finite difference time domain (FDTD)-like explicit operation are discussed. Numerical results for a three dimensional cavity and a coaxial transmission line show that the EBHD formulation has serious performance limitations.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
