| 一类半线性对流扩散问题特征-有限体积法H1模误差估计 |
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| 引用本文： | 张阳.一类半线性对流扩散问题特征-有限体积法H1模误差估计[J].高等学校计算数学学报,2007,29(2):157-165. |
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| 作者姓名： | 张阳 |
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| 作者单位： | 南开大学数学科学学院,天津,300071 |
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| 摘 要： | 1引言有限体积法是由Baliga和Patankar提出的一种数值求解偏微分方程,特别是物理学中保持守恒律方程的有效方法．由于其运用原方程的体积积分公式和有限控制体积来离散方程．使方程在控制体积上保持守恒律这一重要的物理特性,自出现以来,有了很大的发展(2-4],10])．特征线方法(1],8],9])则是一种非常适合求解对流占优扩散方程的数值
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| 关 键 词： | 半线性对流扩散问题 特征 有限体积法 H^1模 误差估计 |
| 修稿时间： | 2005-05-20 |
H1-NORM ERROR ESTIMATE OF THE CHARACTERISTICS-FINITE VOLUME ELEMENT METHOD FOR A CLASS OF SEMI-LINEAR CONVECTION DIFFUSION PROBLEMS |
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| Zhang Yang.H1-NORM ERROR ESTIMATE OF THE CHARACTERISTICS-FINITE VOLUME ELEMENT METHOD FOR A CLASS OF SEMI-LINEAR CONVECTION DIFFUSION PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities,2007,29(2):157-165. |
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| Authors: | Zhang Yang |
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| Institution: | School of Mathematics, Nankai University, Tianjin 300071 |
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| Abstract: | The finite volume method and the method of characteristics are two important methods for solving the partial differential equations. These two methods are combined in this paper to form a fully discrete characteristics-finite volume method for a class of semi-linear convection diffusion problem. By detailed theoretical analysis, optimal order H1 norm error estimates are obtained between the exact solution of the original differential problem and the solution of these fully discrete schemes. |
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| Keywords: | convection diffusion characteristics finite volume element error estimate |
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