\(L^\infty\) estimation of the LDG method for 1-D singularly perturbed convection-diffusion problems

DOI10.3934/DCDSB.2013.18.1493zbMath1285.65053OpenAlexW2073998890MaRDI QIDQ378992

Runchang Lin, Hui-Qing Zhu

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.1493

zbMATH Keywords

convergencesingular perturbationerror estimateShishkin meshnumerical experimentlocal discontinuous Galerkin method

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) 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)

Optimal pointwise convergence of the LDG method for singularly perturbed convection-diffusion problem ⋮ Analysis of an LDG-FEM for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers ⋮ Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem

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