【题名】:UPWIND FINITE VOLUME SCHEMES FOR SEMICONDUCTOR DEVICE高等学校计算数学学报:英文版论文(UPWIND FINITE VOLUME SCHEMES FOR SEMICONDUCTOR DEVICEGaoDengXueXiaoJiSuanShuXueXueBao:YingWenBanLunWen) 【关键词】:迎风有限体积概型 初值问题 非线性偏微分方程 数学模型 半导体 【keywords】:YingFengYouXianTiJiGaiXing ChuZhiWenTi FeiXianXingPianWeiFenFangCheng ShuXueMoXing BanDaoTi 【作者】:杨青 【来源】: 知识词典 【期刊名称】:高等学校计算数学学报:英文版(GaoDengXueXiaoJiSuanShuXueXueBao:YingWenBan) 【国际标准刊号】:1004-8979 【国内统一刊号】:32-1348 【作者单位】:DepartmentofMathematics,ShandongNormalUniversity,Jinan250014,PRC/SchoolofMathematicsandSystemScience,ShandongUniversity,Jinan250100,PRC.(DepartmentofMathematics,ShandongNormalUniversity,Jinan250014,PRC/SchoolofMathematicsandSystemScience,ShandongUniversity,Jinan250100,PRC.) 【分类号】:TN304.0 O241.82 【页码】:-150-161 【出版年】:2003.2 【下载地址】:下载pdf全文 The mathematical model of semiconductor devices is described by the initial boundary value problem of a system of three nonlinear partial differential equations. One equation m elliptic form is for the electrostatic potential; two equations of convection-dominated diffusion type are for the electron and hole concentrations. Finite volume element procedure are put forward for the electrostatic potential, while upwind volume element schemes for the two concentration equations. Error estimates in L2 norm for our numerical schemes are derived.
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