Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain

DOI10.1007/s10444-016-9510-zzbMath1380.65326OpenAlexW2563658311MaRDI QIDQ1683215

Eugene O'Riordan, Alan F. Hegarty

Publication date: 6 December 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-016-9510-z

zbMATH Keywords

finite difference schemeerror estimateboundary layersnumerical experimentcircular domainlinear elliptic boundary value problempiecewise-uniform Shishkin meshessingularly perturbed elliptic BVP of convection-diffusion type

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains, A parameter-uniform numerical method for a singularly perturbed convection-diffusion problem posed on an annulus

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