Supercloseness of continuous interior penalty methods on Shishkin triangular meshes and hybrid meshes for singularly perturbed problems with characteristic layers

DOI10.1007/s10915-018-0677-yzbMath1401.65137OpenAlexW2793647839WikidataQ130209434 ScholiaQ130209434MaRDI QIDQ1785506

Jin Zhang, Xiao-Wei Liu

Publication date: 28 September 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0677-y

zbMATH Keywords

convection-diffusionShishkin meshsuperclosenesshybrid meshinf-sup stabilityinterior penalty finite element method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

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 ⋮ Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer ⋮ Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D ⋮ Convergence and supercloseness in a balanced norm of finite element methods on Bakhvalov-type meshes for reaction-diffusion problems ⋮ Convergence and supercloseness of a finite element method for a two-parameter singularly perturbed problem on Shishkin triangular mesh

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