An Improved Error Bound for a Lagrange--Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics

DOI10.1137/S0036142996301512zbMath0911.65078OpenAlexW2083492195MaRDI QIDQ4210309

Publication date: 21 September 1998

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

Full work available at URL: https://doi.org/10.1137/s0036142996301512

zbMATH Keywords

error bound method of characteristics degenerate parabolic systems adsorption kinetics transport in porous media contaminant transport convection-dominated flow Lagrange-Galerkin finite element approximation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35)

Related Items (7)

Solution of nonlinear convection-diffusion problems by a conservative Galerkin-characteristics method ⋮ Solving convection-dominated anisotropic diffusion equations by an exponentially fitted finite volume method. ⋮ Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations ⋮ 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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