An optimal a priori error estimate in the maximum norm for the Il'in scheme in 2D

DOI10.1007/s10543-014-0536-7zbMath1479.65017OpenAlexW2031240870MaRDI QIDQ906961

Hans-Goerg Roos, Martin Schopf

Publication date: 1 February 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0536-7

zbMATH Keywords

singular perturbationdifference schemeconvection-diffusionIl'in scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A finite difference method for a singularly perturbed 2‐D elliptic convection‐diffusion PDEs on Shishkin‐type meshes with non‐smooth convection and source terms ⋮ A robust finite difference scheme for strongly coupled systems of singularly perturbed convection‐diffusion equations ⋮ The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems

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