Error estimates for finite volume element methods for convection--diffusion--reaction equations

DOI10.1016/j.apnum.2005.12.002zbMath1175.65106OpenAlexW2145961615MaRDI QIDQ857025

Jürgen Geiser, Rajen Kumar Sinha

Publication date: 14 December 2006

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2005.12.002

zbMATH Keywords

error estimatesbackward Euler methodfinite volume element methodconvection-diffusion-reaction equationdiscrete-in-time schemeradioactive contaminant transportreaction in flowing groundwaterspatially discrete scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

Systematic formulation of a general numerical framework for solving the two-dimensional convection-diffusion-reaction system ⋮ A Quadratic Finite Volume Method for Parabolic Problems ⋮ MATHEMATICAL MODELING TO SIMULATE THE MOVEMENT OF CONTAMINANTS IN GROUNDWATER ⋮ An integral equation approach to the unsteady convection-diffusion equations ⋮ Finite volume element approximation for time dependent convection diffusion reaction equations with memory ⋮ Lifting solutions of quasilinear convection-dominated problems ⋮ A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs ⋮ Postprocessing of a finite volume element method for semilinear parabolic problems ⋮ On the finite volume element method for self-adjoint parabolic integrodifferential equations

Cites Work

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