Difference scheme for solving an elliptic equation with small parameter in a domain with curvilinear boundary

DOI10.1016/0041-5553(78)90140-4zbMath0427.65070OpenAlexW1969536059MaRDI QIDQ3862997

G. I. Shishkin

Publication date: 1979

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(78)90140-4

zbMATH Keywords

Dirichlet problemsmall parameterdifference schemeapproximate solutionconvergence theoremselliptic equationcurvilinear boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

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A brief survey on numerical methods for solving singularly perturbed problems ⋮ The necessary and sufficient condition of uniformly convergent difference schemes for the elliptic-parabolic partial differential equation with a small parameter

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