A uniformly accurate finite volume discretization for a convection-diffusion problem

zbMath1024.65108MaRDI QIDQ1866483

Dirk Wollstein, Hans-Goerg Roos, Torsten Linss

Publication date: 6 November 2003

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/123015

zbMATH Keywords

convergencesingular perturbationconvection-diffusion problemsfinite volume methodsShishkin mesh

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems ⋮ Layer-adapted meshes for convection-diffusion problems ⋮ A new positive finite volume scheme for two‐dimensional convection‐diffusion equation ⋮ A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes ⋮ A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes

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