| 三维热传导型半导体问题的特征混合元方法和分析 |
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| 引用本文： | 刘蕴贤.三维热传导型半导体问题的特征混合元方法和分析[J].应用数学学报,1999,22(3):422-432. |
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| 作者姓名： | 刘蕴贤 |
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| 作者单位： | 山东大学数学学院!济南，250100 |
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| 摘 要： | 本文研究三维热传导型半导体态问题的特征混合元方法及其理论分析，其数学模型是一类非线性偏微分方程的初边值问题，对电子位势方程提出混合元逼近，对电子，空穴浓度方程笔挺表限元逼近；对热传导方程采用对时间向后差分的Ｇａｌｅｒｋｉｎ逼近，应用微分方程先验估计理论和技巧得到了最优阶Ｌ＾２误差估计。
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| 关 键 词： | 特征混合元 热传导 偏微分方程 半导体 瞬态问题 |
CHARACTERISTIC MIXED FINITE ELEMENT METHOD AND ANALYSIS FOR THE THREE-DIMENSIONAL SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION |
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| LIU YUNXIAN.CHARACTERISTIC MIXED FINITE ELEMENT METHOD AND ANALYSIS FOR THE THREE-DIMENSIONAL SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION[J].Acta Mathematicae Applicatae Sinica,1999,22(3):422-432. |
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| Authors: | LIU YUNXIAN |
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| Abstract: | Characteristic mixed finite element method is introduced and analyzed for approximating the solution of three-d;mensional transient behavior of semiconductor with heatconduction, whose mathematical model is initial and boundary problem of nonlinear partial differential equation system. Electric potential equation is approximated by mixed finite element method, electron and hole concentration are approximated by characteristic finite element method, heat-conduction equation is approximated by a Galerkin procedure. Optimal order error estimates in L2 are demonstrated. |
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| Keywords: | Transient behavior of semiconductor heat-conduction characteristic mixed finite element optimal error estimate |
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