| 多孔介质中控制释放问题的Galerkin方法 |
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| 引用本文： | 程爱杰,杜宁. 多孔介质中控制释放问题的Galerkin方法[J]. 山东大学学报(理学版), 2006, 41(1): 16-20 |
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| 作者姓名： | 程爱杰 杜宁 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;山东大学,数学与系统科学学院,山东,济南,250100 |
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| 摘 要： | 多孔介质中的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，构造了这一非线性耦合问题的有限元半离散格式，利用先验估计理论进行了收敛性分析.
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| 关 键 词： | 多孔介质 控制释放 控制迁移 有限元 收敛性 |
| 文章编号： | 1671-9352（2006）01-0016-05 |
| 收稿时间： | 2006-06-07 |
| 修稿时间： | 2006-06-07 |
Galerkin method for controlled-release and spread of solute in porous media |
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| CHENG Ai-jie,DU Ning. Galerkin method for controlled-release and spread of solute in porous media[J]. Journal of Shandong University, 2006, 41(1): 16-20 |
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| Authors: | CHENG Ai-jie DU Ning |
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| Affiliation: | School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China |
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| Abstract: | The process of controlled-release in porous media 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 boundray condition of the third type.A finite element scheme was proposed for solving the coupled nonlinear system.Convergence was analysed by a priori estimate method. |
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| Keywords: | porous media controlled-release controlled-spread finite element method convergence analysis |
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