Analysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems

DOI10.1016/j.aml.2017.02.005zbMath1375.65154arXiv1603.02099OpenAlexW2963877237MaRDI QIDQ2407737

Jin Zhang, Xiao-Wei Liu

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1603.02099

zbMATH Keywords

stabilizationstreamline diffusion finite element methodsingularly perturbed convection diffusion problemstreamline diffusion norm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Analysis of the SDFEM for singularly perturbed differential-difference equations ⋮ Supercloseness of linear streamline diffusion finite element method on Bakhvalov-type mesh for singularly perturbed convection-diffusion equation in 1D ⋮ Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers ⋮ An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems ⋮ Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh ⋮ The streamline-diffusion finite element method on graded meshes for a convection-diffusion problem ⋮ Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers ⋮ Uniform stability of the SUPG method for the evolutionary convection-diffusion-reaction equation

Cites Work

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