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| 非粘性土壤中溶质运移问题的守恒混合有限元法及其数值模拟 | |
| 引用本文： | 李焕荣,罗振东.非粘性土壤中溶质运移问题的守恒混合有限元法及其数值模拟[J].计算数学,2010,32(2):183-194. |
| 作者姓名： | 李焕荣 罗振东 |
| 作者单位： | 1. 重庆工商大学数学与统计学院,重庆,400067 2. 华北电力大学数理学院,北京,102206 |
| 基金项目： | 国家自然科学基金，重庆市教委科技技术基金，重庆市自然科学基金一般项目 |
| 摘 要： | 奉文建立了非粘性土壤水中溶质运移问题的守恒混合元格式,讨论了广义解和混合元解的存在唯一性,并给出了误差估计.数值模拟结果表叫,用该方法模拟溶质运移问题是合理有效的,不仅提高了通量的模拟精度,而且使计算稳定. |
| 关 键 词： | 守恒混合元法 溶质运移问题 误差估计 数值模拟 |
| 收稿时间： | 2009-05-31 |
CONSERVATION MIXED FINITE ELEMENT METHODS AND SIMULATIONS FOR THE SOLUTE MOVING PROBLEMS IN THE NONSTICK SOIL WATER |
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| Li Huanrong,Luo Zhendong.CONSERVATION MIXED FINITE ELEMENT METHODS AND SIMULATIONS FOR THE SOLUTE MOVING PROBLEMS IN THE NONSTICK SOIL WATER[J].Mathematica Numerica Sinica,2010,32(2):183-194. | |
| Authors: | Li Huanrong Luo Zhendong |
| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China; 2. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China |
| Abstract: | In this paper, a solute moving equation in the nonstick soil water is studied. The existence and uniqueness of its generalized solutions and discrete mixed finite element(MFE) solutions are proved, and the error estimates of the discrete MFE solutions are analyzed. And finally, a numerical example is given. By using the MFE methods, the solute density and flux can be simulated meanwhile; moreover, the computational accuracy for solute flux is high and numerical model is stable. |
| Keywords: | Conservation Mixed Finite Element Methods Solute Moving Problems Error Estimates Numerical Simulation |
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