| 热传导型半导体瞬态问题的迎风有限体积元方法 |
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| 引用本文： | 陈传军,袁益让.热传导型半导体瞬态问题的迎风有限体积元方法[J].计算数学,2007,29(1):27-38. |
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| 作者姓名： | 陈传军 袁益让 |
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| 作者单位： | 1. 烟台大学数学与信息科学学院,山东烟台,264005
2. 山东大学数学与系统科学学院,济南,250100 |
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| 基金项目： | 国家重点基础研究专项经费(G1999032803)，国家自然科学基金(10372052,10271066)，教育部博士点基金资助项目(20030422047) |
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| 摘 要： | 半导体瞬态问题的数学模型是由四个方程组成的非线性偏微分方程组的初边值问题所决定．其中电子浓度和空穴浓度方程往往是对流占优扩散问题,普通的方法已不适用,为此本文用迎风格式处理对流项部分,提出一种全离散迎风有限体积元方法,并进行收敛性分析,在最一般的情况下得到了一阶精度L2模误差估计结果．
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| 关 键 词： | 热传导型 迎风格式 有限体积元方法 误差估计 |
| 修稿时间： | 2005-08-13 |
A KIND OF UPWIND FINITE VOLUME ELEMENT METHOD FOR THE TRANSIENT BEHAVIOR OF A SEMICONDUCTOR DEVICE WITH HEAT CONDUCTION |
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| Chen Chuanjun,Yuan Yirang.A KIND OF UPWIND FINITE VOLUME ELEMENT METHOD FOR THE TRANSIENT BEHAVIOR OF A SEMICONDUCTOR DEVICE WITH HEAT CONDUCTION[J].Mathematica Numerica Sinica,2007,29(1):27-38. |
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| Authors: | Chen Chuanjun Yuan Yirang |
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| Institution: | Chen Chuanjun (Department of Mathematics and Information Science, Yantai Univ., Yantai 264005, Shandong, China) Yuan Yirang (School of Mathematics and System Sciences, Shandong Univ., Ji'nan 250100, China) |
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| Abstract: | The mathematical model of the semiconductor device with heat conduction is described by the initial boundary value problem made up of a system of four quasi-linear partial differential equations. The general methods are not useful to deal with this problem when the the equations of the electron and hole concentration are convection-dominated. So a kind of upwind finite volume element methods for the problem is given, which is used upwind scheme to deal with the convection part. One order accuracy error estimate in L2-norm is obtained. |
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| Keywords: | heat conduction upwind scheme finite volume element methods error estimates |
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