| 线性对流占优Sobolev方程的流线扩散有限元方法 |
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| 引用本文： | 孙同军.线性对流占优Sobolev方程的流线扩散有限元方法[J].高校应用数学学报(英文版),2001,16(1):63-71. |
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| 作者姓名： | 孙同军 |
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| 作者单位： | Sun Tongjun Now address:Department of Mathematics and Physics，South Campus of Shandong University，Jinan 250061.Dept. of Math.，South Campus of Shandong Univ.，Jinan 250061. |
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| 基金项目： | Supported by the National Natural Sciences Foundation of China(1 8971 0 51 ) |
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| 摘 要： | Abastract. In this paper,a streamline-diffusion F. E. M. for linear Sobolev equations with con-vection-dominated term is given. According to the range of space-time F. E mesh parameter h,two choices for artifical diffusion parameter are presented,and for the corresponding computa-tion schemes the stability and error estimates in suitable norms are estabilished.
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| 关 键 词： | 线性Sobolev方程 对流占优问题 流线扩散 有限元方法 网格参数 人工扩散参数 估算图 |
| 收稿时间： | 21 October 1999 |
Streamline-diffusion F. E. M. for Sobolev equations with convection-dominated term |
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| Sun Tongjun.Streamline-diffusion F. E. M. for Sobolev equations with convection-dominated term[J].Applied Mathematics A Journal of Chinese Universities,2001,16(1):63-71. |
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| Authors: | Sun Tongjun |
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| Institution: | (1) Present address: Department of Mathematics and Physics, South Campus of Shandong University, 250061 Jinan |
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| Abstract: | In this paper, a streamline-diffusion F. E. M. for linear Sobolev equations with convection-dominated term is given. According
to the range of space-time F. E mesh parameter h, two choices for artifical diffusion parameter δ are presented, and for the corresponding computation schemes the stability
and error estimates in suitable norms are estabilished.
Supported by the National Natural Sciences Foundation of China (18971051). |
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| Keywords: | Streamline diffusion sobolev equations convection dominated term |
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