Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: vertex-cell interpolation

DOI10.1016/j.apnum.2017.09.003zbMath1377.65097OpenAlexW2754829442MaRDI QIDQ1675496

Jin Zhang, Xiao-Wei Liu

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.09.003

zbMATH Keywords

singular perturbationconvection-diffusion equationnumerical experimentsboundary layerShishkin meshsuperclosenesscontinuous interior penalty method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Supercloseness of linear streamline diffusion finite element method on Bakhvalov-type mesh for singularly perturbed convection-diffusion equation in 1D ⋮ Convergence of a finite element method on a Bakhvalov‐type mesh for a singularly perturbed convection–diffusion equation in <scp>2D</scp> ⋮ Supercloseness of weak Galerkin method for a singularly perturbed convection-diffusion problem in 2D ⋮ Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D ⋮ Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D ⋮ Convergence and supercloseness of a finite element method for a two-parameter singularly perturbed problem on Shishkin triangular mesh

Cites Work

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