A Robust Method of Improved Order for Convection-Diffusion Problems in a Domain with Characteristic Boundaries

DOI<631::AID-ZAMM631>3.0.CO;2-1 10.1002/1521-4001(200209)82:9<631::AID-ZAMM631>3.0.CO;2-1zbMath1012.65104OpenAlexW2000811832MaRDI QIDQ4785027

G. I. Shishkin, Francisco Javier Lisbona, José Luis Gracia, Carmelo Clavero

Publication date: 17 December 2002

Full work available at URL: https://doi.org/10.1002/1521-4001(200209)82:9<631::aid-zamm631>3.0.co;2-1

zbMATH Keywords

singular perturbationconvection-diffusion problem\(\varepsilon\)-uniform convergenceShishkin meshhigh order accuracycharacteristic boundariesupwid finite difference scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

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