Pointwise estimates of the SDFEM for convection-diffusion problems with characteristic layers

DOI10.1016/J.APNUM.2012.07.009zbMath1255.65214OpenAlexW2086119907MaRDI QIDQ1932755

Liquan Mei, Yaping Chen, Jin Zhang

Publication date: 21 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.07.009

zbMATH Keywords

convection-diffusionShishkin meshpointwise estimatesSDFEMcharacteristic layer

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with characteristic layers ⋮ Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers ⋮ Analysis of the SDFEM for convection-diffusion problems with characteristic layers ⋮ Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: vertex-cell interpolation ⋮ Convergence in \(L^{2}\) norm of the SDFEM on a Shishkin triangular mesh for problems with characteristic layers ⋮ Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers ⋮ Optimal Order $L^2$ Error Estimate of SDFEM on Shishkin Triangular Meshes for Singularly Perturbed Convection-Diffusion Equations ⋮ Supercloseness of continuous interior penalty methods on Shishkin triangular meshes and hybrid meshes for singularly perturbed problems with characteristic layers ⋮ Supercloseness of continuous interior penalty method for convection-diffusion problems with characteristic layers

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