Finite element approximation of convection diffusion problems using graded meshes

DOI10.1016/j.apnum.2006.03.029zbMath1104.65109OpenAlexW2038027802MaRDI QIDQ2507724

Ricardo G. Durán, Ariel L. Lombardi

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.029

zbMATH Keywords

comparison of methodserror estimatesfinite elementsconvection-diffusion equationnumerical experimentsgraded meshessingular perturbation parameterShishkin method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) 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)

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Cites Work

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• A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
• Error estimates on anisotropic ${\mathcal Q}_1$ elements for functions in weighted Sobolev spaces

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