| Analysis of Linear Triangular Elements for Convection-diffusion Problems by Streamline Diffusion Finite Element Methods |
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| 引用本文： | 周俊明 金大永 张书华. Analysis of Linear Triangular Elements for Convection-diffusion Problems by Streamline Diffusion Finite Element Methods[J]. 数学季刊, 2007, 22(1): 43-51 |
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| 作者姓名： | 周俊明 金大永 张书华 |
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| 作者单位： | 1.Department of Mathematics，Hebei University of Technology，Tianjin 300130，China; 2.Department of Mathematics，Tianjin University of Finance and Economics，Tianjin 300222，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10471103) |
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| 摘 要： | This paper is devoted to studying the superconvergence of streamline diffusion finite element methods for convection-diffusion problems.In [8],under the condition thatε≤h~2 the optimal finite element error estimate was obtained in L~2-norm.In the present paper,however,the same error estimate result is gained under the weaker condition thatε≤h.
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| 关 键 词： | 对流-扩散问题 流线扩散有限元法 线性三角元素 超收敛 |
| 文章编号： | 1002-0462(2007)01-0043-09 |
| 修稿时间： | 2004-10-12 |
Analysis of Linear Triangular Elements for Convection-diffusion Problems by Streamline Diffusion Finite Element Methods |
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| ZHOU Jun-ming JIN Da-yong ZHANG Shu-hua. Analysis of Linear Triangular Elements for Convection-diffusion Problems by Streamline Diffusion Finite Element Methods[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 43-51 |
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| Authors: | ZHOU Jun-ming JIN Da-yong ZHANG Shu-hua |
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| Affiliation: | [1]Department of Mathematics, Hebei University of Teehnology, Tianjin 300130, China [2]Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, China |
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| Abstract: | |
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| Keywords: | convection-diffusion streamline diffusion finite element methods linear triangular elements superconvergence |
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