Pointwise error estimates of the bilinear SDFEM on Shishkin meshes

DOI10.1002/num.21712zbMath1264.65180OpenAlexW2144463439MaRDI QIDQ4909184

Jin Zhang, Liquan Mei

Publication date: 12 March 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21712

zbMATH Keywords

convergencesingular perturbationnumerical experimentsShishkin meshstreamline diffusion finite element methodpointwise error estimatesconvection diffusion problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with characteristic layers ⋮ Analysis of the SDFEM for convection-diffusion problems with characteristic layers ⋮ Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012 ⋮ 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

Uses Software

• PARDISO

Cites Work

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• Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
• How accurate is the streamline diffusion finite element method?
• The SDFEM on Shishkin meshes for linear convection-diffusion problems
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• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem