Characteristic-Galerkin Methods for Contaminant Transport with Nonequilibrium Adsorption Kinetics

DOI10.1137/0731052zbMath0808.76046OpenAlexW1998829878MaRDI QIDQ4307029

C. J. Van Duijn, Clint N. Dawson, Mary Fanett Wheeler

Publication date: 21 March 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/2224

zbMATH Keywords

error estimatesgroundwaterreactive transportnon-Lipschitz monotone nonlinearities

Mathematics Subject Classification ID

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

Related Items (12)

Systems of partial differential equations in porous medium ⋮ Solution of nonlinear convection-diffusion problems by a conservative Galerkin-characteristics method ⋮ A degenerate elliptic-parabolic system arising in competitive contaminant transport ⋮ Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization ⋮ Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ General formulation of second-order semi-Lagrangian methods for convection-diffusion problems ⋮ Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates ⋮ Semi-analytical solutions of a contaminant transport equation with nonlinear sorption in 1D ⋮ Solution of contaminant transport with adsorption in porous media by the method of characteristics ⋮ Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media ⋮ Solution of degenerate parabolic variational inequalities with convection ⋮ On the mathematical analysis and numerical approximation of a system of nonlinear parabolic PDEs

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