{"title":"基于快速有限元法的复杂结构散射分析","authors":"Bingqi Liu, Li Xu, Si-Yi Yang, Bin Li","doi":"10.1109/CEFC46938.2020.9451406","DOIUrl":null,"url":null,"abstract":"A high order vector finite element method to analyze the scattering of complex structure is considered. The solution of large sparse complex linear system equation is the most memory and time consuming part of the finite element method (FEM). In order to solve the scattering problems by FEM efficiently, we use Krylov subspace iterative method to solve the FEM matrix and further introduce the p-type multigrid preconditioning method as the preconditioner of the iterative method. Finally, some numerical examples are presented to show the reliability and efficiency of the method in this paper.","PeriodicalId":439411,"journal":{"name":"2020 IEEE 19th Biennial Conference on Electromagnetic Field Computation (CEFC)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Scattering Analysis of Complex Structure based on Fast Finite Element Method\",\"authors\":\"Bingqi Liu, Li Xu, Si-Yi Yang, Bin Li\",\"doi\":\"10.1109/CEFC46938.2020.9451406\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A high order vector finite element method to analyze the scattering of complex structure is considered. The solution of large sparse complex linear system equation is the most memory and time consuming part of the finite element method (FEM). In order to solve the scattering problems by FEM efficiently, we use Krylov subspace iterative method to solve the FEM matrix and further introduce the p-type multigrid preconditioning method as the preconditioner of the iterative method. Finally, some numerical examples are presented to show the reliability and efficiency of the method in this paper.\",\"PeriodicalId\":439411,\"journal\":{\"name\":\"2020 IEEE 19th Biennial Conference on Electromagnetic Field Computation (CEFC)\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE 19th Biennial Conference on Electromagnetic Field Computation (CEFC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CEFC46938.2020.9451406\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE 19th Biennial Conference on Electromagnetic Field Computation (CEFC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CEFC46938.2020.9451406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Scattering Analysis of Complex Structure based on Fast Finite Element Method
A high order vector finite element method to analyze the scattering of complex structure is considered. The solution of large sparse complex linear system equation is the most memory and time consuming part of the finite element method (FEM). In order to solve the scattering problems by FEM efficiently, we use Krylov subspace iterative method to solve the FEM matrix and further introduce the p-type multigrid preconditioning method as the preconditioner of the iterative method. Finally, some numerical examples are presented to show the reliability and efficiency of the method in this paper.