{"title":"玻尔兹曼-泊松电子输运模型不连续伽辽金解的边界条件影响","authors":"Jose A. Morales Escalante, I. Gamba","doi":"10.1109/IWCE.2014.6865873","DOIUrl":null,"url":null,"abstract":"In this paper we perform, by means of Discontinuous Galerkin (DG) Finite Element Method (FEM) based numerical solvers for Boltzmann-Poisson (BP) semiclassical models of hot electronic transport in semiconductors, a numerical study of reflective boundary conditions in the BP system, such as specular reflection, diffusive reflection, and a mixed convex combination of these reflections, and their effect on the behavior of the solution. A boundary layer effect is observed in our numerical simulations for the kinetic moments related to diffusive and mixed reflection.","PeriodicalId":168149,"journal":{"name":"2014 International Workshop on Computational Electronics (IWCE)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Boundary conditions effects by Discontinuous Galerkin solvers for Boltzmann-Poisson models of electron transport\",\"authors\":\"Jose A. Morales Escalante, I. Gamba\",\"doi\":\"10.1109/IWCE.2014.6865873\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we perform, by means of Discontinuous Galerkin (DG) Finite Element Method (FEM) based numerical solvers for Boltzmann-Poisson (BP) semiclassical models of hot electronic transport in semiconductors, a numerical study of reflective boundary conditions in the BP system, such as specular reflection, diffusive reflection, and a mixed convex combination of these reflections, and their effect on the behavior of the solution. A boundary layer effect is observed in our numerical simulations for the kinetic moments related to diffusive and mixed reflection.\",\"PeriodicalId\":168149,\"journal\":{\"name\":\"2014 International Workshop on Computational Electronics (IWCE)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-06-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 International Workshop on Computational Electronics (IWCE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCE.2014.6865873\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Workshop on Computational Electronics (IWCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCE.2014.6865873","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundary conditions effects by Discontinuous Galerkin solvers for Boltzmann-Poisson models of electron transport
In this paper we perform, by means of Discontinuous Galerkin (DG) Finite Element Method (FEM) based numerical solvers for Boltzmann-Poisson (BP) semiclassical models of hot electronic transport in semiconductors, a numerical study of reflective boundary conditions in the BP system, such as specular reflection, diffusive reflection, and a mixed convex combination of these reflections, and their effect on the behavior of the solution. A boundary layer effect is observed in our numerical simulations for the kinetic moments related to diffusive and mixed reflection.