| 二维对流扩散方程满足最大值原理的MMOCAA差分方法 |
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| 引用本文： | 由同顺. 二维对流扩散方程满足最大值原理的MMOCAA差分方法[J]. 高等学校计算数学学报, 2004, 26(4): 289-297 |
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| 作者姓名： | 由同顺 |
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| 作者单位： | 南开大学数学学院,天津,300071 |
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| 摘 要： | Using FCT idea,the non-oscillation MMOCAA(The modified method of characteristics with adjusted advection) finite difference scheme satisfing the discrete maximum principle for convection-dominated diffusion equation in 2D is constructed.The scheme is free from oscillation,with which the problem is solved by the MMOCAA difference method based on 2-order Lag-range interpolation proposed by Jim.Douglas, Jr.(Numer.Math.,1999,83:353-369.). The error analysis of the new scheme and numerical example are given in the paper.The numerical example shows that the scheme has smaller numerical viscosity than the MMOCAA difference method based on bilineax Lagrange interpolation.
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| 关 键 词： | MMOCAA差分方法 最大值原理 对流扩散方程 二维 FCT |
THE MMOCAA DIFFERENCE METHOD SATISFING THE DISCRETE MAXIMUM PRINCIPLE FOR CONVECTION-DIFFUSION EQUATION IN TWO DIMENSIONS |
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| You Tongshun. THE MMOCAA DIFFERENCE METHOD SATISFING THE DISCRETE MAXIMUM PRINCIPLE FOR CONVECTION-DIFFUSION EQUATION IN TWO DIMENSIONS[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(4): 289-297 |
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| Authors: | You Tongshun |
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| Abstract: | Using FCT idea,the non-oscillation MMOCAA(The modified method of characteristics with adjusted advection) finite difference scheme satisfing the discrete maximum principle for convection-dominated diffusion equation in 2D is constructed.The scheme is free from oscillation,with which the problem is solved by the MMOCAA difference method based on 2-order Lagrange interpolation proposed by Jim.Douglas, Jr.(Numer.Math.,1999,83:353-369.). The error analysis of the new scheme and numerical example are given in the paper.The numerical example shows that the scheme has smaller numerical viscosity than the MMOCAA difference method based on bilinear Lagrange interpolation. |
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| Keywords: | convection-dominated diffusion problem MMOCAA finite difference FCT idea the discrete maximum principle. |
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