| 对流占优扩散问题的经济型流线扩散有限元法 |
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| 引用本文： | 孙澈,曹松.对流占优扩散问题的经济型流线扩散有限元法[J].计算数学,2004,26(3):367-384. |
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| 作者姓名： | 孙澈 曹松 |
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| 作者单位： | 1. 南开大学,天津,300071
2. 铁道科学研究院电子所,北京,100081 |
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| 摘 要： | In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The stability and error estimation with quasi-optimal order approximation are established in the norm stronger than L^2 - norm for the schemes considered. It is indicated by the results obtained that,for linear F.E. space, the EFDSD schemes have the same specific properties of stability and convergence as the traditional FDSD schemes for the problems discussed.
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| 关 键 词： | 对流占优扩散问题 有限元算法 流线扩散法 FDSD方法 检验函数 稳定性 误差估计 |
ECONOMICAL FINITE DIFFERENCE-STREAMLINE DIFFUSION METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS |
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| Sun Che.ECONOMICAL FINITE DIFFERENCE-STREAMLINE DIFFUSION METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS[J].Mathematica Numerica Sinica,2004,26(3):367-384. |
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| Authors: | Sun Che |
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| Institution: | Sun Che (Nankai University, Tianjin, 300071)
Cao Song (Institute of Computing Technology, China Academy of Railway Sciences, Beijing, 100081) |
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| Abstract: | In this paper, the economical finite difference-streamline diffusion (EFDSD) schemes based on the linear F.E. space for time-dependent linear and non-linear convection-dominated diffusion problems are constructed. The stability and error estimation with quasi-optimal order approximation are established in the norm stronger than L2 - norm for the schemes considered. It is indicated by the results obtained that,for linear F.E. space, the EFDSD schemes have the same specific properties of stability and convergence as the traditional FDSD schemes for the problems discussed. |
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| Keywords: | Convection-Dominated Diffusion Problem Economic Streamline Diffusion FEM Artificial Viscosity |
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