On the convergence of the Dirichlet grid problem with a singularity for a singularly perturbed convection-diffusion equation

DOI10.3103/S0278641916040038zbMath1368.65212MaRDI QIDQ2364204

T. Ya. Ershova

Publication date: 18 July 2017

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemsingular perturbationuniform convergenceconvection-diffusion equationnumerical examplesinner layerconvection-diffusionfive-point difference schemepiecewise-uniform Shishkin grids

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers
• Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an $L$-shaped domain
• A singularly perturbed convection–diffusion problem in a half-plane
• 10.1007/s11470-008-1007-5
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