Local projection methods on layer-adapted meshes for higher order discretisations of convection-diffusion problems

DOI10.1016/j.apnum.2009.05.008zbMath1188.65154OpenAlexW2048119752MaRDI QIDQ2271401

Gunar Matthies

Publication date: 7 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.05.008

zbMATH Keywords

convergencenumerical resultssingular perturbationfinite elementsstabilizationShishkin meshconvection-diffusion equationslocal projection methodBakhvaloy-Shishkin mesh

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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

A brief survey on numerical methods for solving singularly perturbed problems, A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction-convection-diffusion equations, An adaptive finite element method for evolutionary convection dominated problems, Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012, A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time, Local projection stabilisation on \(S\)-type meshes for convection-diffusion problems with characteristic layers, Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements, Supercloseness of continuous interior penalty methods on Shishkin triangular meshes and hybrid meshes for singularly perturbed problems with characteristic layers

Uses Software

• MooNMD
• UMFPACK

Cites Work

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