| 一类半线性反应对流扩散模型特征有限元法H1模误差估计 |
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| 引用本文： | 杨素香,沈万芳.一类半线性反应对流扩散模型特征有限元法H1模误差估计[J].山东师范大学学报(自然科学版),2007,22(1):15-18. |
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| 作者姓名： | 杨素香 沈万芳 |
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| 作者单位： | 1. 山东经济学院统计与数学学院,250014,济南
2. 山东财政学院统计与数理学院,250014,济南 |
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| 摘 要： | 采用特征有限元方法对半线性反应对流扩散模型进行了分析,并得到了最优H~1模误差估计.
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| 关 键 词： | 反应对流扩散模型 特征有限元法 最优误差估计 |
| 修稿时间： | 2006-09-28 |
H1 - NORM ERROR ESTIMATE OF THE CHARACTERISTIC FINITE ELEMENT METHOD FOR SOME SEMI - LINEAR REACTION - CONVECTION - DIFFUSION MODELS |
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| Yang Suxiang,Shen Wanfang.H1 - NORM ERROR ESTIMATE OF THE CHARACTERISTIC FINITE ELEMENT METHOD FOR SOME SEMI - LINEAR REACTION - CONVECTION - DIFFUSION MODELS[J].Journal of Shandong Normal University(Natural Science),2007,22(1):15-18. |
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| Authors: | Yang Suxiang Shen Wanfang |
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| Institution: | 1.Department of Statistics and Mathematics,Shandong Economic University,250014,Jinan, China; 2. Statistic and Mathematics College, Shandong University of Finance,250014, Jinan, China |
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| Abstract: | For some semi-linear reaction-convection-diffusion models,the characteristic finite element schemes are constructed.By making the numerical approximation and the error analysis,optimal order estimates in H1-norm are derived for the approximate solution. |
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| Keywords: | reaction-convection-diffusion models characteristic finite element method optimeal error estimates |
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