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Superconvergence using pointwise interpolation in convection-diffusion problems (Q2448655)

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Language	Label	Description	Also known as
English	Superconvergence using pointwise interpolation in convection-diffusion problems	scientific article

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scholarly article

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Superconvergence using pointwise interpolation in convection-diffusion problems (English)

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Applied Numerical Mathematics

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publication date

5 May 2014

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full work available at URL

https://arxiv.org/abs/1304.7443

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zbMATH Keywords

singular perturbation

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layer-adapted meshes

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superconvergence

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postprocessing

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convection-diffusion problem

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finite element method

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Sebastian Franz

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MaRDI profile type

MaRDI publication profile

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SDFEM with non-standard higher-order finite elements for a convection-diffusion problem with characteristic boundary layers

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Convergence phenomena of \documentclass{article} \usepackage{amsmath,amsfonts}\pagestyle{empty}\begin{document} $\mathcal{Q}_p$ \end{document}‐elements for convection–diffusion problems

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Superconvergence analysis of the Galerkin FEM for a singularly perturbed convection–diffusion problem with characteristic layers

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Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers

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Local projection stabilisation on \(S\)-type meshes for convection-diffusion problems with characteristic layers

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Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements

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Finite Element Methods for Navier-Stokes Equations

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Superconvergence of quadratic finite elements on mildly structured grids

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Corner singularities and boundary layers in a simple convection-diffusion problem

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Sharpened bounds for corner singularities and boundary layers in a simple convection-diffusion problem

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Lagrange interpolation and finite element superconvergence

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Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

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Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer

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Analysis of a new stabilized higher order finite element method for advection-diffusion equations

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Identifiers

zbMATH Open document ID

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10.1016/j.apnum.2013.07.007

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2448655

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