A Class of Singularly Perturbed Convection-Diffusion Problems with a Moving Interior Layer. An a Posteriori Adaptive Mesh Technique

DOI10.2478/CMAM-2004-0007zbMath1049.65085OpenAlexW2044221213MaRDI QIDQ4809789

P. W. Hemker, G. I. Shishkin, L. P. Shishkina

Publication date: 31 August 2004

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2004-0007

zbMATH Keywords

singular perturbationconvection-diffusion equationerror boundfinite difference schemesinitial boundary value problema posteriori adaptive meshalmost \(\varepsilon\)-uniform convergencemoving interior/transition layer

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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