A uniformly convergent continuous-discontinuous Galerkin method for singularly perturbed problems of convection-diffusion type

DOI10.1016/j.amc.2010.11.033zbMath1207.65106OpenAlexW2077715519MaRDI QIDQ621026

Peng Zhu, Zi-Qing Xie, S. Z. Zhou

Publication date: 2 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.033

zbMATH Keywords

stabilitysingular perturbationfinite element methoduniform convergencenumerical experimentserror estimateShishkin meshlocal discontinuous Galerkin methodconvection diffusion equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

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