| 迎风混合元方法解二维污染运移方程:平衡吸收反应项的情况 |
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| 引用本文： | 宋怀玲. 迎风混合元方法解二维污染运移方程:平衡吸收反应项的情况[J]. 山东大学学报(理学版), 2004, 39(4): 23-28 |
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| 作者姓名： | 宋怀玲 |
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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 |
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| 基金项目： | 国家重点基础研究专项经费资助项目 (G19990 3 2 80 3 )，国家自然科学基金资助项目 ( 10 3 72 0 5 2,10 2 710 66)，教育部博士点基金资助项目( 2 0 0 3 0 42 2 0 47) |
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| 摘 要： | 研究了二维污染运移方程，这种方程由平流项，扩散项和吸收项组成．假设为平衡吸收，且吸收项为Freundlich等温项，在此情形下，饱和度方程是非线性的，并且当饱和度接近零时非Lipschitz连续，造成分析的困难．利用迎风格式处理平流项，混合元方法处理扩散项，从而得到逼进此方程的迎风混合元方法．
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| 关 键 词： | 平流项 扩散项 吸收项 迎风 混合元 |
| 文章编号： | 1671-9352(2004)04-0023-06 |
| 修稿时间： | 2003-10-24 |
Analysis of an upwinding-mixed finite element method for contaminant transport equations in two dimensions:equilibrium adsorption processes |
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| SONG Huai-ling. Analysis of an upwinding-mixed finite element method for contaminant transport equations in two dimensions:equilibrium adsorption processes[J]. Journal of Shandong University, 2004, 39(4): 23-28 |
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| Authors: | SONG Huai-ling |
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| Abstract: | Contaminant transport equations in two dimensions are considered. The equation is characterized by advection, diffusion, and adsorption. Assuming it was equilibrium adsorption processes and the adsorption term is modeled by a Freundlich isotherm, it can be nondifferentiable as the concentration approaches zero. The approximation of this equation is considered by a method which upwinds the advection and incorporates diffusion using a mixed finite element method. Error estimates for a semidiscrete formulation are derived. |
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| Keywords: | advection diffusion adsorption upwinding mixed finite element |
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