Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates

DOI10.1007/s10596-010-9213-3zbMath1348.76158OpenAlexW2048959770MaRDI QIDQ695702

Iuliu Sorin Pop, Florin Adrian Radu

Publication date: 17 December 2012

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-010-9213-3

zbMATH Keywords

error estimatesmixed finite elementsflow in porous mediaNewton methodnumerical simulationsreactive transport with sorption

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

Application of an improved \(\mathrm{P}(m)\)-SOR iteration method for flow in partially saturated soils ⋮ Analysis of a fully implicit SUPG scheme for a filtration and separation model ⋮ Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media ⋮ Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects ⋮ Two-phase flow equations with a dynamic capillary pressure ⋮ A linear backward Euler scheme for a class of degenerate advection–diffusion equations: A mathematical analysis of the convergence in L^∞(0, T₀;L²(Ω)) and in L²(0, T₀;H¹(Ω)) ⋮ An exponential integrator for finite volume discretization of a reaction-advection-diffusion equation ⋮ A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media

Uses Software

• UG

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