Analysis of an upwinding-mixed finite element method for contaminant transport equations in two dimensions: equilibrium adsorption processes
Huailing Song · Journal of Shandong University · 2004
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.