Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems

DOI10.1007/S10092-021-00445-2zbMath1483.65124OpenAlexW3213887780MaRDI QIDQ2059726

Yao Cheng, Yanjie Mei

Publication date: 14 December 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-021-00445-2

zbMATH Keywords

uniform convergencelayer-adapted meshsingularly perturbedlocal discontinuous Galerkin methodgeneralised alternating numerical fluxgeneralised Gauss-Radau projection

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 (7)

Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem ⋮ Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type ⋮ Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem ⋮ Optimal pointwise convergence of the LDG method for singularly perturbed convection-diffusion problem ⋮ The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers ⋮ Local discontinuous Galerkin method for a third‐order singularly perturbed problem of reaction–diffusion type ⋮ Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D

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