Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem

DOI10.1090/mcom/3844zbMath1515.65286arXiv2206.08642OpenAlexW4324355356MaRDI QIDQ6045325

Martin Stynes, Yao Cheng, Shan Jiang

Publication date: 26 May 2023

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

Full work available at URL: https://arxiv.org/abs/2206.08642

zbMATH Keywords

superconvergenceconvection-diffusionlayer-adapted meshessingularly perturbedsuperclosenesslocal discontinuous Galerkin methodGauss-Radau projection

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)

Related Items (4)

Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type ⋮ An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem ⋮ The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers ⋮ Uniform convergence of finite element method on Bakhvalov-type triangular mesh for a singularly perturbed problem featuring exponential layers

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