On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations

DOI10.1016/j.cma.2008.10.016zbMath1229.76059OpenAlexW2089057593MaRDI QIDQ658181

Tobiska, Lutz

Publication date: 11 January 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.10.016

zbMATH Keywords

singular perturbationdiffusion equationadvectionstabilized finite element method

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items (7)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ Stabilization by local projection for convection-diffusion and incompressible flow problems ⋮ A local projection type stabilization with exponential enrichments applied to one-dimensional advection-diffusion equations ⋮ ALE-FEM for Two-Phase and Free Surface Flows with Surfactants ⋮ Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem ⋮ Local projection stabilization for convection-diffusion-reaction equations on surfaces ⋮ Generalized local projection stabilized nonconforming finite element methods for Darcy equations

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• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
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• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods

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