Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer

DOI10.1016/J.AML.2021.107509OpenAlexW3178128049MaRDI QIDQ2235062

Jin Zhang, Yanhui Lv, Xiaoqi Ma

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107509

zbMATH Keywords

singular perturbationfinite element methoduniform convergenceShishkin meshinterior layer

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

Analysis of finite element method in balanced norms for two-parameter singularly perturbed problems ⋮ Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh ⋮ Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh ⋮ NIPG Finite Element Method for Convection-Dominated Diffusion Problems with Discontinuous Data

Cites Work

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