Convergence of local projection stabilisation finite element methods for convection-diffusion problems on layer-adapted meshes

DOI10.1007/s10543-017-0652-2zbMath1378.65172OpenAlexW2594709919MaRDI QIDQ2411650

Sebastian Franz

Publication date: 24 October 2017

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-017-0652-2

zbMATH Keywords

convergencenumerical examplesingular perturbationfinite element methodconvection-diffusion problemboundary layerslayer-adapted mesheslocal projection

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

Uniform convergence of finite element method on Bakhvalov-type triangular mesh for a singularly perturbed problem featuring exponential layers ⋮ Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers

Cites Work

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• A finite element pressure gradient stabilization for the Stokes equations based on local projections
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• On the stability of finite-element discretizations of convection-diffusion-reaction equations
• Graded Meshes for Higher Order FEM
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Numerical methods on Shishkin meshes for linear convection-diffusion problems

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