| 非饱和土壤渗流问题的混合元-变网格有限元方法 |
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| 引用本文： | 王强,王波.非饱和土壤渗流问题的混合元-变网格有限元方法[J].天津大学学报(自然科学与工程技术版),2007,40(10):1183-1188. |
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| 作者姓名： | 王强 王波 |
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| 作者单位： | [1]天津大学理学院,天津300072 [2]天津大学机械工程学院,天津300072 [3]河南大学数学院,开封475001 |
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| 基金项目： | 国家自然科学基金;王宽诚教育基金 |
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| 摘 要： | 非饱和土壤渗流运动是多孔介质流体运动的一种重要形式，单纯运用有限元等方法不易得到最优误差估计，为更好地研究该问题，在混合元方法基础上提出了混合元-变网格有限元格式，并应用微分方程先验估计的理论和技巧，得到最优阶的L^2-模误差估计结果，从理论上证明了该方法在研究多孔介质流体运动中的实用性，从而为更好地研究非饱和土壤渗流问题提供了直接的理论依据．
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| 关 键 词： | 非饱和土壤渗流 混合元 变网格有限元 误差估计 |
| 文章编号： | 0493-2137（2007）10-1183-06 |
| 收稿时间： | 2006-11-16 |
| 修稿时间： | 2007-07-01 |
Mixed Finite Element Method with Moving Mesh for Unsaturated Soil Seepage Problem |
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| WANG Qiang,WANG Bo.Mixed Finite Element Method with Moving Mesh for Unsaturated Soil Seepage Problem[J].Journal of Tianjin University(Science and Technology),2007,40(10):1183-1188. |
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| Authors: | WANG Qiang WANG Bo |
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| Abstract: | The unsaturated soil seepage is an important form of the flow in porous media. Simply using finite element method cannot get the optimal error estimates. In order to research the problem effectively, the mixed finite element method with moving mesh was put forward to analyze the unsaturated soil seepage problem on the basis of mixed finite element method. Using the theory and technique of prior estimate of differential equation, an optimal L^2 -error estimate was obtained in general condition, thus we theoretically prove that the method can be applied in the research of the flow in porous media, which provides a powerful theoretical foundation for the research of the unsaturated soil seepage problem. |
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| Keywords: | unsaturated soil seepage mixed finite element method moving mesh finite element method errorestimates |
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