| ALTERNATING-DIRECTION MULTISTEP PRECONDITIONED ITERATIVE METHODS FOR SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION |
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| 引用本文： | 刘蕴贤. ALTERNATING-DIRECTION MULTISTEP PRECONDITIONED ITERATIVE METHODS FOR SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION[J]. 高等学校计算数学学报(英文版), 2002, 11(1): 13-24 |
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| 作者姓名： | 刘蕴贤 |
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| 作者单位： | School of Mathematics and System Science, Shandong Unvieristy, Jinan 250100 |
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| 基金项目： | This research was surpported by the National Natural Science Foundation , Mathematical TY Foun-dation (TY10126029) of China and the Youth Foundation of Shandong University. |
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| 摘 要： | The model of transient behavior of semiconductor with heat-conduction is an initial and boundary problem. Alternating-direction multistep preconditioned iterative methods and theory analyses are given in this paper. Electric potential equation is approximated by mixed finite element method, concentration and heat-conduction equations are approximated by Galerkin alternating-direction multistep methods. Error estimates of optimal order in L2 are demonstrated.
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ALTERNATING-DIRECTION MULTISTEP PRECONDITIONED ITERATIVE METHODS FOR SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION |
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| Liu Yunxian. ALTERNATING-DIRECTION MULTISTEP PRECONDITIONED ITERATIVE METHODS FOR SEMICONDUCTOR PROBLEM WITH HEAT-CONDUCTION[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2002, 11(1): 13-24 |
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| Authors: | Liu Yunxian |
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| Affiliation: | School of Mathematics and System Science, Shandong Unvieristy, Jinan 250100 |
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| Abstract: | The model of transient behavior of semiconductor with heat-conduction is an initial and boundary problem. Alternating-direction multistep preconditioned iterative methods and theory analyses are given in this paper. Electric potential equation is approximated by mixed finite element method, concentration and heat-conduction equations are approximated by Galerkin alternating-direction multistep methods. Error estimates of optimal order in L2 are demonstrated. |
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| Keywords: | transient behavior of semiconductor heat-conduction mixed finite element alternating-direction multistep. |
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