Characteristic-Galerkin Methods for Contaminant Transport with Nonequilibrium Adsorption Kinetics
Clint N. Dawson, C.J. van Duijn, Mary F. Wheeler · SIAM Journal on Numerical Analysis · 1994
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 is described and a priori error estimates are derived.