{"title":"静态场的无界轴对称有限元公式","authors":"R. R. A. Coelho, J. Cardoso","doi":"10.1109/compumag55718.2022.9827524","DOIUrl":null,"url":null,"abstract":"This paper describes an unbounded approach for solving the Poisson equation by the Finite Element Method (FEM). With domain mapping, it is unnecessary to truncate the domain at an arbitrary distance, where the potential is assumed negligible. The formulation herein has applications for static fields, has a simple implementation, and can handle infinite heterogeneous domains, which is a limitation of several FEM software. Such an approach raises the simulation precision and can save computational resources.","PeriodicalId":430005,"journal":{"name":"2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unbounded Axisymmetric FEM Formulation for Static Fields\",\"authors\":\"R. R. A. Coelho, J. Cardoso\",\"doi\":\"10.1109/compumag55718.2022.9827524\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes an unbounded approach for solving the Poisson equation by the Finite Element Method (FEM). With domain mapping, it is unnecessary to truncate the domain at an arbitrary distance, where the potential is assumed negligible. The formulation herein has applications for static fields, has a simple implementation, and can handle infinite heterogeneous domains, which is a limitation of several FEM software. Such an approach raises the simulation precision and can save computational resources.\",\"PeriodicalId\":430005,\"journal\":{\"name\":\"2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG)\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/compumag55718.2022.9827524\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/compumag55718.2022.9827524","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Unbounded Axisymmetric FEM Formulation for Static Fields
This paper describes an unbounded approach for solving the Poisson equation by the Finite Element Method (FEM). With domain mapping, it is unnecessary to truncate the domain at an arbitrary distance, where the potential is assumed negligible. The formulation herein has applications for static fields, has a simple implementation, and can handle infinite heterogeneous domains, which is a limitation of several FEM software. Such an approach raises the simulation precision and can save computational resources.