| 非线性对流扩散方程的迎风有限元格式 |
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| 引用本文： | 哈什姆,胡健伟,王庆晟.非线性对流扩散方程的迎风有限元格式[J].南开大学学报,2002,35(2):51-55,71. |
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| 作者姓名： | 哈什姆 胡健伟 王庆晟 |
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| 作者单位： | 南开大学数学科学学院，南开大学数学科学学院，南开大学数学科学学院 天津，300071，天津，300071，天津，300071 |
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| 基金项目： | Natural Foundation of China grant1 0 1 71 0 5 2，Foundation of National Key Laboratory of Compu-tational Physics |
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| 摘 要： | 本文讨论二维非线性对流扩散方程的一类迎风有限元格式，其中非线性对流项用三角形网格对偶网格上的有限体积型方法逼近，非线性扩散项用伽辽金法逼近。在某些假定下证明了离散最大值原理和近似解的收敛性。
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| 关 键 词： | 对流扩散 最大值原理 迎风格式 |
THE UPWIND FINITE ELEMENT SCHEME FOR NONLINEAR CONVECTION-DIFFUSION EQUATION |
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| Hashim A Kashkool,Hu Jianwei,Wang Qingsheng.THE UPWIND FINITE ELEMENT SCHEME FOR NONLINEAR CONVECTION-DIFFUSION EQUATION[J].Acta Scientiarum Naturalium University Nankaiensis,2002,35(2):51-55,71. |
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| Authors: | Hashim A Kashkool Hu Jianwei Wang Qingsheng |
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| Abstract: | In this paper, a kind of upwind finite element scheme is studied for two-dimensional nonlinear convection diffusion equation. Nonlinear convection term approximated by finite volume type method considered over a mesh dual to the triangular grid, whereas the nonlinear diffusion term approximated by Galerkin method. Under some assumption the discrete maximum principle and the convergence of the approximated solution are proved. |
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| Keywords: | convection-diffusion maximum principle upwind scheme |
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