| 对流扩散问题Crank-Nicolson差分-流线扩散法的高精度分析 |
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| 引用本文： | 金大永,张书华. 对流扩散问题Crank-Nicolson差分-流线扩散法的高精度分析[J]. 数学的实践与认识, 2006, 36(10): 234-242 |
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| 作者姓名： | 金大永 张书华 |
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| 作者单位： | 1. 河北工业大学理学院,天津,300130
2. 天津财经大学理学院,天津,300222 |
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| 摘 要： | 讨论了对流扩散问题C rank-N ico lson差分流线扩散格式,利用插值后处理技术提高了特殊网格下该格式在双线性元空间解的精度,从而按Lα(L2(Ω))模达到最优.
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| 关 键 词： | 流线扩线法 高精度分析 对流占优 |
| 修稿时间： | 2005-09-26 |
The High Accuracy Analysis of Crank-nicolson Finite Difference-streamline Diffusion Method for Convection-diffusion Equation |
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| JIN Da-yong,ZHANG Shu-hua. The High Accuracy Analysis of Crank-nicolson Finite Difference-streamline Diffusion Method for Convection-diffusion Equation[J]. Mathematics in Practice and Theory, 2006, 36(10): 234-242 |
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| Authors: | JIN Da-yong ZHANG Shu-hua |
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| Abstract: | In this paper,we consider the Crank-Nicolson Finite difference-streamline diffusion(FDSD) method with bilinear element for time-dependent linear convection dominated diffusion problem,optimal error estimate which has 2-order accuracy in time direction and 2-order in space variables are derived for FDSD scheme. |
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| Keywords: | streamline diffusion method high accuracy analysis convection-dominated |
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