Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems

DOI10.1016/j.cam.2017.07.031zbMath1376.65110OpenAlexW2749641090MaRDI QIDQ1675940

Fatih Celiker, Hui-Qing Zhu

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.07.031

zbMATH Keywords

superconvergenceShishkin meshlocal error estimateslocal discontinuous Galerkin methodconvection-diffusion-reaction problemsingularly perturbed problems

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) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem ⋮ Superconvergent postprocessing of the continuous Galerkin time stepping method for nonlinear initial value problems with application to parabolic problems ⋮ The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers

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