Characteristic-Galerkin methods for contaminant transport with nonequilibrium adsorption kinetics. (English) Zbl 0808.76046

Dawson, C. N.; van Duijn, C. J.; Wheeler, M. F.

SIAM J. Numer. Anal. 31, No. 4, 982-999 (1994).

Summary: 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, equations modeling contaminant transport with nonlinear, nonequilibrium adsorption reactions are considered. This phenomenon 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 method is described and a priori error estimates are derived.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76V05	Reaction effects in flows
76S05	Flows in porous media; filtration; seepage
86A05	Hydrology, hydrography, oceanography
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

non-Lipschitz monotone nonlinearities; reactive transport; groundwater; error estimates