Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem

DOI10.1002/zamm.202300238MaRDI QIDQ6148860

Publication date: 8 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

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Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem
On graded meshes for a two-parameter singularly perturbed problem
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Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems
Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem
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Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer
Graded Meshes for Higher Order FEM
The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
Robust Numerical Methods for Singularly Perturbed Differential Equations
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
An initial-value technique to solve third-order reaction–diffusion singularly perturbed boundary-value problems
The necessity of Shishkin decompositions

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