Uniform superconvergence of a Galerkin finite element method on Shishkin-type meshes

DOI<426::AID-NUM2>3.0.CO;2-R 10.1002/1098-2426(200009)16:5<426::AID-NUM2>3.0.CO;2-RzbMath0958.65110OpenAlexW2140272862MaRDI QIDQ4508630

Torsten Linss

Publication date: 6 December 2000

Full work available at URL: https://doi.org/10.1002/1098-2426(200009)16:5<426::aid-num2>3.0.co;2-r

zbMATH Keywords

performanceerror estimatesconvection-diffusion problemGalerkin finite element methodsuperconvergenceShishkin-type meshes

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) 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)

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