On the local discontinuous Galerkin method for singularly perturbed problem with two parameters

DOI10.1016/j.cam.2021.113485zbMath1467.65073OpenAlexW3130282808MaRDI QIDQ2020519

Yao Cheng

Publication date: 23 April 2021

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.2021.113485

zbMATH Keywords

uniform convergencesingularly perturbed problemlayer-adapted mesheslocal discontinuous Galerkin methodtwo parameters 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 singularly perturbed problems involving ordinary differential equations (65L11)

Related Items

Analysis of finite element method in balanced norms for two-parameter singularly perturbed problems ⋮ Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems ⋮ Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh ⋮ Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type ⋮ Analysis of an LDG-FEM for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers ⋮ Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh in 2D ⋮ Supercloseness in a balanced norm of the NIPG method on Shishkin mesh for a reaction diffusion problem ⋮ Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem ⋮ Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems ⋮ Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms ⋮ High-order finite element method on a Vulanović-Bakhvalov mesh for a singularly perturbed convection-diffusion problem

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