| 非矩形区域上半导体问题的交替方向有限元方法 |
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| 引用本文： | 刘蕴贤. 非矩形区域上半导体问题的交替方向有限元方法[J]. 高等学校计算数学学报, 2002, 24(2): 109-118 |
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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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| 基金项目： | 国家自然科学基金（19972039），数学天元基金（TY10126029）资助项目 |
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| 摘 要： | Transient behavior of semiconductor with heat-conduction on nonrectangular is studied using isoparametric elements and an approximation to the Jacobian of the isoparametric map.Concentration and heat-conduction equations are solved by alternating-direction methods and electric potential equation is approximated by finite element method.Optimal order error estimates in L^2 are demonstrated using the theory and technique of a prior estimate of differential equation.
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| 关 键 词： | 非矩形区域 半导体问题 交替方向有限元方向 半导体器件 |
| 修稿时间： | 2000-04-19 |
ALTERNATING DIRECTION FINITE ELEMENT METHODS FOR SEMICONDUCTOR PROBLEM ON NONRECTANGULAR |
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| Liu Yunxian. ALTERNATING DIRECTION FINITE ELEMENT METHODS FOR SEMICONDUCTOR PROBLEM ON NONRECTANGULAR[J]. Numerical Mathematics A Journal of Chinese Universities, 2002, 24(2): 109-118 |
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| Authors: | Liu Yunxian |
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| Abstract: | Transient behavior of semiconductor with heat-conduction on nonrec-tangular is studied using isoparametric elements and an approximation to the Ja-cobian of the isoparametric map. Concentration and heat-conduction equations are solved by alternating-direction methods and electric potential equation is ap-proximated by finite element method. Optimal order error estimates in L2 are demonstrated using the theory and technique of a prior estimate of differential e-quation. |
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| Keywords: | isoparametric element semi-conductor alternating-direction. |
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