Analysis of Galerkin-characteristics algorithm for variably saturated flow in porous media
International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering
Newton method for reactive solute transport with equilibrium sorption in porous media
Journal of Computational and Applied Mathematics
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In this paper, the numerical approximation of a nonlinear diffusion equation arising in contaminant transport is studied. The equation is characterized by advection, diffusion, and adsorption. Assuming the adsorption term is modeled by a Freundlich isotherm, it can be nonlinear in concentration and nondifferentiable as the concentration approaches zero. We consider the approximation of this equation by a method which upwinds the advection and incorporates diffusion using a mixed finite element method. Error estimates for a semidiscrete formulation are derived, and numerical results for a fully discrete formulation are given.