| 多孔介质中控制释放耦合问题的有限元方法 |
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| 引用本文： | 佐春梅,程爱杰. 多孔介质中控制释放耦合问题的有限元方法[J]. 山东大学学报(理学版), 2009, 44(2): 33-38 |
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| 作者姓名： | 佐春梅 程爱杰 |
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| 作者单位： | 山东大学数学学院,山东,济南,250100 |
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| 摘 要： | 多孔介质中的控制释放-迁移含有3个物理过程:溶质透过内边界(薄膜)释放到介质中;介质中流体的流动;溶质在介质中的扩散。控制释放由边界积分-常微分方程描述,溶质迁移由带第三类边界条件的对流扩散(含机械弥散)方程描述,速度场遵循Darcy定律,构造了一非线性耦合问题的混合元 Galerkin有限元半离散格式及全离散格式,利用先验估计理论进行收敛性分析。
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| 关 键 词： | 混合有限元；控制释放；多孔介质；误差估计 |
| 收稿时间： | 2008-06-25 |
The finite element method for controlled-release and spread of solute coupling with fluid velocity in a porous medium |
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| ZUO Chun-mei,CHENG Ai-jie. The finite element method for controlled-release and spread of solute coupling with fluid velocity in a porous medium[J]. Journal of Shandong University, 2009, 44(2): 33-38 |
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| Authors: | ZUO Chun-mei CHENG Ai-jie |
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| Affiliation: | School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
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| Abstract: | The process of controlled-release and spread of a solute in porous media contains three physical processes: the process of release of the solute into the porous media through the border of the film,the flow of fluid and the process of the spread of the solute in porous media.The process of controlled-release was governed by a boundary integral-ordinary differential equation,while the process of spread was characterized by a convection-diffusion(with mechanical dispersion)equation with a boundary condition o... |
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| Keywords: | mixed finite element method controlled-release porous medium error estimate |
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