| 细菌模型的非协调有限元分析 |
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| 引用本文： | 石东洋,裴丽芳.细菌模型的非协调有限元分析[J].应用数学学报,2011,34(3). |
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| 作者姓名： | 石东洋 裴丽芳 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450052
2. 洛阳理工学院数理部,洛阳471003;郑州大学数学系,郑州450052 |
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| 基金项目： | 国家自然科学基金，河南省教育厅 |
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| 摘 要： | 将非协调元应用于描述细菌传播的反应扩散方程组的初边值问题.借助单元的一些特性和非协调误差估计技巧,分别在半离散和全离散有限元格式下,研究了其数值解与精确解的误差估计,得到了最优的误差估计以及超逼近结果.
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| 关 键 词： | 非协调元 细菌方程 半离散 全离散 最优误差估计 |
Analysis of Nonconforming Finite Element Method for Bacterial Model |
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| SHI DONGYANG,PEI LIFANG.Analysis of Nonconforming Finite Element Method for Bacterial Model[J].Acta Mathematicae Applicatae Sinica,2011,34(3). |
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| Authors: | SHI DONGYANG PEI LIFANG |
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| Institution: | SHI DONGYANG (Department of Mathematics,Zhengzhou University,Zhengzhou 450052) PEI LIFANG (Department of Mathematics,Zhengzhou 450052) (Department of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471003) |
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| Abstract: | Nonconforming finite element method is considered for a system of reaction-diffusion equations of bacterial infection with initial and boundary conditions.Based on some special properties of the element and approaches for estimating the consistency error, the error estimates between numerical solutions and exact solutions are studied on the semi-discrete and the fully discrete finite element schemes,respectively.The optimal error estimates and superclose properties are derived. |
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| Keywords: | nonconforming element bacterial model semi-discrete fully discrete optimal error estimate |
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