Characteristic-Galerkin Methods for Contaminant Transport with Non-Equilibrium Adsorption Kinetics

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1992-08
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A procedure based on combining the method of characteristics with a Galerkin finite element method is analyzed for approximating reactive transport in groundwater. In particular, we consider equations modeling contaminant transport with nonlinear, non-equilibrium adsorption reactions. This phenomena gives rise to non-Lipschitz but monotone nonlinearities which complicate the analysis. A physical and mathematical description of the problem under consideration is given, then the numerical method is described and a priori error estimates are derived.

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Technical report
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Dawson, C.N., van Duijn, C.J. and Wheeler, M.F.. "Characteristic-Galerkin Methods for Contaminant Transport with Non-Equilibrium Adsorption Kinetics." (1992) https://hdl.handle.net/1911/101767.

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