Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation

DOI10.4208/jcm.1009-m3113zbMath1249.65223OpenAlexW2047883057MaRDI QIDQ2885726

Xiang-Gui Li, Guangnan Chen, Xi-Jun Yu

Publication date: 1 June 2012

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.1009-m3113

zbMATH Keywords

stabilityconvergencenumerical resultssingular perturbationfinite element methodconvection-diffusion equationerror bound

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)

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