| 三维热传导型半导体问题的交替方向特征有限元方法 |
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| 引用本文： | 张志跃.三维热传导型半导体问题的交替方向特征有限元方法[J].系统科学与数学,2002,22(4):395-405. |
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| 作者姓名： | 张志跃 |
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| 作者单位： | 南京师范大学数学与计算机科学学院,南京,210097;中国科学院大气物理研究所LASG,北京,100029 |
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| 基金项目： | 国家自然科学基金（No.40023001,40075015），中国科学院KZCX2-208基金资助课题 |
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| 摘 要： | 提出交替方向特征有限元方法,对电场位势方程采用混合元格式,对电子,空穴浓度方程采用交替方向特征有限元格式,对温度方程提出交替方向格式.应用向量积计算及先验估计理论和技巧,得到最佳的L2误差估计.
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| 关 键 词： | 热传导型半导体 交替方向特征有限元方法 最优误差估计 |
| 修稿时间： | 1999年11月23 |
THE ALTERNATING-DIRECTION CHARACTERISTIC FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION |
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| Zhi Yue ZHANG.THE ALTERNATING-DIRECTION CHARACTERISTIC FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION[J].Journal of Systems Science and Mathematical Sciences,2002,22(4):395-405. |
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| Authors: | Zhi Yue ZHANG |
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| Institution: | School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097,P.R.China;LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,P.R.China |
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| Abstract: | The alternating-direction characteristic finite element method is given. Electric potential equation is approximated by mixed finite element methods, electron and hole concentration are approximated by alternating-direction characteristic finite element method, temperature equation is approximated by the alternating-direction finite element method. Using the calculation of the vecter product, and the theory and technique of prior estimates, then the optimal order error estimates in L2 are obtained. |
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| Keywords: | Semiconductor with heat-conduction alternating-direction characteristic fi- nite element method optimal error estimate |
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