Chunwang Xiang, Xunwang Dang, Maokun Li, Fan Yang, Shenheng Xu
{"title":"The Application of Barycentric Subdivision Method for Numerical Integration in Method of Moments","authors":"Chunwang Xiang, Xunwang Dang, Maokun Li, Fan Yang, Shenheng Xu","doi":"10.1109/COMPEM.2018.8496681","DOIUrl":null,"url":null,"abstract":"In this study, we investigate the barycentric subdivision method for numerical integration in three-dimensional surface integral equation. This method allows a uniform treatment of both singular and non-singular integrals by avoiding overlap between the quadrature points of source integral and field integral. We studied the convergence of this method for singular integration. Numerical examples also show that this method could achieve the same level of accuracy for method of moments. Moreover, this method can reduce the time of matrix setup by half and hence increase the computational efficiency of method of moments.","PeriodicalId":221352,"journal":{"name":"2018 IEEE International Conference on Computational Electromagnetics (ICCEM)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE International Conference on Computational Electromagnetics (ICCEM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/COMPEM.2018.8496681","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we investigate the barycentric subdivision method for numerical integration in three-dimensional surface integral equation. This method allows a uniform treatment of both singular and non-singular integrals by avoiding overlap between the quadrature points of source integral and field integral. We studied the convergence of this method for singular integration. Numerical examples also show that this method could achieve the same level of accuracy for method of moments. Moreover, this method can reduce the time of matrix setup by half and hence increase the computational efficiency of method of moments.