{"title":"平板几何中输运方程的改进混合和混合离散化","authors":"J. Cartier, M. Peybernes","doi":"10.1080/00411450.2012.671214","DOIUrl":null,"url":null,"abstract":"In this article we deal with a mixed and hybrid finite element method slab geometry discretization of the transport equation arising from the new variational formulation introduced in Cartier and Peybernes (2011). The aim of this study is to construct such a discretization by preserving the diffusion limit in the entire diffusive region, close to the boundaries, and for internal interface problems.","PeriodicalId":49420,"journal":{"name":"Transport Theory and Statistical Physics","volume":"41 1","pages":"40 - 52"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00411450.2012.671214","citationCount":"0","resultStr":"{\"title\":\"Improved Mixed and Hybrid Discretization of the Transport Equation in Slab Geometry\",\"authors\":\"J. Cartier, M. Peybernes\",\"doi\":\"10.1080/00411450.2012.671214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we deal with a mixed and hybrid finite element method slab geometry discretization of the transport equation arising from the new variational formulation introduced in Cartier and Peybernes (2011). The aim of this study is to construct such a discretization by preserving the diffusion limit in the entire diffusive region, close to the boundaries, and for internal interface problems.\",\"PeriodicalId\":49420,\"journal\":{\"name\":\"Transport Theory and Statistical Physics\",\"volume\":\"41 1\",\"pages\":\"40 - 52\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/00411450.2012.671214\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transport Theory and Statistical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00411450.2012.671214\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transport Theory and Statistical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00411450.2012.671214","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Improved Mixed and Hybrid Discretization of the Transport Equation in Slab Geometry
In this article we deal with a mixed and hybrid finite element method slab geometry discretization of the transport equation arising from the new variational formulation introduced in Cartier and Peybernes (2011). The aim of this study is to construct such a discretization by preserving the diffusion limit in the entire diffusive region, close to the boundaries, and for internal interface problems.
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