{"title":"三维电磁散射与辐射问题的FE-BI-MLFMA非共形区域分解算法","authors":"Hong-Wei Gao, Ming-lin Yang, X. Sheng","doi":"10.1109/CEM.2015.7237418","DOIUrl":null,"url":null,"abstract":"The non-conformal domain decomposition algorithms of the hybrid finite element-boundary integral-multilevel fast multipole algorithm are presented for computing large electromagnetic scattering and radiation problems. The numerical performance of different transmission conditions between finite element method (FEM) subdomains, and FEM and boundary integral (BI) domains is studied in the paper. It is found that the Dirichlet transmission condition employed on the interface between FEM and BI domains has faster convergence than the Robin-type transmission condition. Furthermore, the cement-element-based dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method has faster convergence than the Lagrange-multiplier-based FETI-DP method under the FE-BI system.","PeriodicalId":409699,"journal":{"name":"2015 Computational Electromagnetics International Workshop (CEM)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the non-conformal domain decomposition algorithms of FE-BI-MLFMA for 3-D electromagnetic scattering and radiation problems\",\"authors\":\"Hong-Wei Gao, Ming-lin Yang, X. Sheng\",\"doi\":\"10.1109/CEM.2015.7237418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The non-conformal domain decomposition algorithms of the hybrid finite element-boundary integral-multilevel fast multipole algorithm are presented for computing large electromagnetic scattering and radiation problems. The numerical performance of different transmission conditions between finite element method (FEM) subdomains, and FEM and boundary integral (BI) domains is studied in the paper. It is found that the Dirichlet transmission condition employed on the interface between FEM and BI domains has faster convergence than the Robin-type transmission condition. Furthermore, the cement-element-based dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method has faster convergence than the Lagrange-multiplier-based FETI-DP method under the FE-BI system.\",\"PeriodicalId\":409699,\"journal\":{\"name\":\"2015 Computational Electromagnetics International Workshop (CEM)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Computational Electromagnetics International Workshop (CEM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CEM.2015.7237418\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Computational Electromagnetics International Workshop (CEM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CEM.2015.7237418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the non-conformal domain decomposition algorithms of FE-BI-MLFMA for 3-D electromagnetic scattering and radiation problems
The non-conformal domain decomposition algorithms of the hybrid finite element-boundary integral-multilevel fast multipole algorithm are presented for computing large electromagnetic scattering and radiation problems. The numerical performance of different transmission conditions between finite element method (FEM) subdomains, and FEM and boundary integral (BI) domains is studied in the paper. It is found that the Dirichlet transmission condition employed on the interface between FEM and BI domains has faster convergence than the Robin-type transmission condition. Furthermore, the cement-element-based dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method has faster convergence than the Lagrange-multiplier-based FETI-DP method under the FE-BI system.
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