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

Analysis of an upwinding-mixed finite element method for contaminant transport equations in two dimensions: equilibrium adsorption processes

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Freundli ch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 .

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.